Engineering + Medica

WBJEE 2017 Med / Engg Question Bank CD -

WBJEE Entrance Exam 2018

West Bengal Joint Entrance Examinations Board ( WBJEE  ) invites admission Application for Engineering and Pharmacy courses for the academic session 2018 – 2019.

Candidates are required to appear for two papers in WBJEEB-2018

  • Paper-I – Mathematics
  • Paper-II – Physics & Chemistry ( combined )

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WBJEE 2018 Eligibility

Citizenship

Applicant must be a citizen of India.

WBJEE 2018 Age Restriction

The lower age limit is 17 years as on 31st December, 2018. A candidate should have been born on or before 31st December, 2001. There is no upper age limit in appearing in the WBJEE 2018.

However, for admission to the degree level Marine Engineering Course The lower age limit is 17 years as on 31st December, 2018 and the upper age limit is 25 Years as on 31st December, 2018.

WBJEE Academic Eligibility Criteria

For admission to Engineering courses

Candidate must have passed the Qualifying Examination i.e. the ‘10+2’ examination with Physics and Mathematics along with any one of Chemistry / Biotechnology / Biology / Computer Science / Computer Application as compulsory subjects with individual pass marks ( in both theory and practical wherever applicable ) in all the three subjects as stated above in regular class mode.

Must have obtained at least 45% marks ( 40% in case of candidates belonging to reserved category e.g. SC, ST, OBC-A, OBC-B, PwD ) in the above three subjects taken together.

Must have passed English in the ‘10+2’ examination with at least 30% marks.

The Board of the said Qualifying Examination must be recognized by the Central Government or State Government concerned.

For admission to Pharmacy courses

Candidate must have passed ‘10+2’ examination with Physics and Chemistry along with any one of Mathematics / Biotechnology / Biology / Computer Science / Computer Application as compulsory subjects with individual pass marks ( in both theory and practical wherever applicable ) in all the three subjects as stated above in regular class mode.

Must have obtained at least 45% marks ( 40% in case of candidates belonging to reserved category e.g. SC, ST, OBC-A, OBC-B, PwD ) in the above three subjects taken together.

Must have passed English in the ‘10+2’ examination with at least 30% marks.

The Board of the said Qualifying Examination must be recognized by the Central Government or State Government concerned.

The criteria for admission into Bachelor of Pharmacy course in Jadavpur University.

Important consideration in terms of academic qualification

A candidate appearing in the Qualifying Examination i.e. the ‘10+2’ Examination in 2018 may sit in the WBJEE-2018 but shall not be eligible for allotment of seat for admission if he / she does not pass the Qualifying Examination with the required minimum eligibility criteria.

Important information regarding eligibility

WBJEEB do neither verify the information provided by any candidate during on line application nor verify any certificate of date of birth, domicile, income, reservation category, academic qualification etc. for deciding the eligibility of the candidate. Admit cards are issued only on the basis of the information provided by the candidate. Also, normally there is no scope of changing / correcting any information after the last date of online application.

All verifications are done during counselling and subsequent admission and registration with the university. If at any stage after examination it is found on scrutiny that the applicant is otherwise ineligible, his / her candidature shall be treated as cancelled even if he / she secured a Merit Rank in the WBJEE-2018 and / or a seat has been allotted to the candidate. Hence, securing a Rank in the WBJEE 2018 does not constitute a right / guarantee in favour of a candidate for his / her claim for admission if he / she fails to comply with the specified norms and standards.

Special eligibility criteria in terms of academic qualifications for admission to some specific Universities / University Departments / Institutions or for admission to some specific courses as per norms and standards of the regularity authorities are given in this section.

Institute specific special eligibility criteria

University of Calcutta

All available Courses except Jute & Fibre Technology : Pass ‘10+2’ or equivalent Examination from a recognised Council / Board in regular class mode with Mathematics, Physics and Chemistry as compulsory subjects with at least 60% ( 55% for Reserve Category students e.g. SC, ST, OBC-A, OBC-B, PwD) marks in the above three subjects taken together, individual pass marks ( both in theory & practical where ever applicable ) in each of the subjects and pass marks in English with a minimum of 30% in the said qualifying examination.

Jute & Fibre Technology : The must pass ‘10+2’ or equivalent examination from any recognised Council / Board in regular class mode with Physics, Mathematics and Chemistry / Biotechnology / Biology as compulsory subjects with at least 60% ( 50% for Reserve Category students e.g. SC, ST, OBC-A, OBC-B, PwD) marks in the above three subjects taken together and with at least 30% marks in English.

Jadavpur University ( Faculty of Engineering & Technology )

a) All available courses including Bachelor of Pharmacy and five Year degree course in Architecture

Pass ‘10+2’ or equivalent Examination from a recognised Council / Board in regular class mode with Mathematics, Physics and Chemistry as compulsory subjects with at least 60% ( 45% for Reserve Category Students e.g. SC, ST, OBC-A, OBC-B, PwD ) marks in above three subjects taken together. Individual pass marks ( both in theory & practical where ever applicable ) in each of the above three subjects.

Minimum 60% ( 45% for Reserve Category Students e.g. SC, ST, OBC-A, OBC-B, PwD ) marks in Mathematics and at least pass marks in English with a minimum of 30% in the said qualifying examination.

b) Additional requirement for Five Year Degree Course in Architecture

Besides the same academic qualifications as stated above, candidates must qualify either in NATA ( National Aptitude Test in Architecture ) conducted by the COA ( Council of Architecture ) or in the Paper-II of JEE-Main, 2018 conducted by the CBSE Board.

West Bengal University of Animal and Fishery Sciences

B. Tech ( Dairy Technology ) course

Candidate must have passed the Qualifying Examination i.e. the ‘10+2’ examination with Physics, Chemistry and Mathematics as compulsory subjects with individual pass marks ( in both theory and practical wherever applicable ) in all the three subjects as stated above in regular Class mode from any recognized Council / Board.

Must have obtained at least 50% marks ( 40% in case of candidates belonging to reserved category e.g. SC, ST, OBC-A, OBC-B ) in Physics, Chemistry, Mathematics and English taken together.

Candidates of other boards / Councils ( 10+2 ) level passed from institutions in West Bengal will be considered provided that he / she is a domicile in West Bengal.

Neotia University 

B.Tech courses in Computer Science & Engineering and Robotic Engineering : Pass ‘10+2’ or equivalent Examination with Physics, Mathematics and Chemistry / Computer Sc. as compulsory subjects with at least 60% marks in the above three subjects taken together.

B. Tech courses in other branches : Pass ‘10+2’ or equivalent Examination with Physics, Chemistry and Mathematics as compulsory subjects with at least 60% marks in the above three subjects taken together.

B. Tech course in Marine Engineering : Pass ‘10+2’ or equivalent Examination with Physics, Chemistry and Mathematics as compulsory subjects with at least 60% marks in the above three subjects taken together and at least 50% marks in English.

Course specific special eligibility criteria

The degree course in Marine Engineering : As per the norms and standards of the Director General of Shipping, Government of India: Candidates must pass Higher Secondary (10+2) Examination of West Bengal Council of Higher Secondary Education or equivalent examination from a recognized Council / Board in regular class mode with :

  • 60% marks in Physics, Chemistry and Mathematics taken together with individual pass marks ( both in theory and practical where ever applicable ) in each of the said subjects;
  • Minimum of 50% marks in English as subject in either in ‘10’ standard or in ‘10+2’ standard.
  • These requirements are applicable for the Marine Engineering Course in any of the participating Institution.

The Five Year degree Course in Architecture

As per the norms and standards of the Council of Architecture ( COA ) : No candidate with less than 50% marks in aggregate shall be admitted to the architecture course unless he / she has passed an examination at the end of new ‘10+2’ scheme of Senior School Certificate Examination or equivalent with Mathematics as a subject of Examination at the 10+2 level.

Candidate must also qualify either in the NATA ( National Aptitude Test in Architecture ) conducted by the Council of Architecture, New Delhi or in Paper 2 of JEE Mains conducted by Central Board of Secondary Education.

These requirements are applicable for the five year degree course in Architecture in any of the participating Institutions except the Jadavpur University, for which the academic eligibility criteria.

Requirements in terms of Residential / Domicile Criteria

There is no particular Residential / Domicile requirement to appear in the WBJEE-2018.

However, the State ( West Bengal ) Residential / Domicile requirement is applicable for admission to any Government Engineering / Technology / Pharmacy Colleges of the State as well as for admission to any reserved category of seats in respect of any course in any of the enlisted University / University Department as well as in any Engineering / Technology / Pharmacy College of the State.

The State ( West Bengal ) Residential / Domicile requirement is also applicable for any seat under the TFW ( Tuition Fee Waiver ) Scheme.

The candidate needs to download the required proforma as per the detail and keep the certificate ready to be produced during counseling, admission etc.

If the certificate is then found to be invalid, the candidate will lose the opportunity of admission in institutes and courses given in Para above.

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WBJEEM 2018 Exam Pattern

Questions will be based on the Syllabus for WBJEE 2018 as given in In every subject, all questions will be of Multiple Choice Questions ( MCQ ) type, with four options against each of the questions.

There will be three categories of questions in each of the subjects. The number of questions as well as maximum marks for each are stated as per the following table :

 SubjuctCategory - I
Full Marks - 1
Category - II
Full Marks - 2
Category - III
Full Marks - 2
Total Number of QuestionsTotal Marks
No.of QuestionsNo.of QuestionsNo.of Questions
Mathematics50151075100
Physics30554050
Chemistry30554050
  • In Category I : Only one answer option is correct;
  • In Category-II : Only one answer option is correct;
  • In Category-III : One or more answer option(s) are correct

Mode of Answering

  • Questions are to be answered on specially designed optical machine readable response ( OMR ) sheet, which will be evaluated by the method of Optical Mark Recognition. Thus it is very important to follow the correct method of marking.
  • There will be four alternative answers for each question. Candidate will indicate response to the questions by darkening the appropriate
    circle completely with blue / black ball point pen.
  • Any other kind of marking e.g. filling the bubble incompletely, filling with pencil, cross mark, tick mark, dot mark, circular mark, over writing, scratching, erasing, white ink, marking outside the bubble etc. may lead to wrong / partial / ambiguous reading of the response. WBJEEB will be, in no way, responsible for such eventuality.
  • Response marking cannot be edited / changed / erased / modified. Hence it is advised that the candidate should be sure about the answer before marking and should not put any stray mark on which he / she does not want to attempt.

Scoring Pattern

Question Category 1

  • Only one option is correct.
  • Correct response will yield 1 ( one ) mark.
  • Incorrect response will yield -1/4 ( 25% negative ) marks.
  • For any combination of response with more than one option, the said answer will be treated as incorrect and will yield -1/4 ( 25% negative ) marks.
  • Not attempting the question will fetch zero mark.

Question Category 2

  • Only one option is correct.
  • Correct response will yield 2 ( two ) marks.
  • Incorrect response will yield -1/2 ( 25% negative ) marks.
  • For any combination of response with more than one option, the said answer will be treated as incorrect and will yield -1/2 ( 25% negative ) marks.
  • Not attempting the question will fetch zero mark.

Question Category 3

  • One or more options may be correct.
  • Only all Correct response will yield 2 ( two ) marks.
  • Any combination of correct and wrong response will be treated as incorrect and will yield 0 ( zero )
    mark.
  • For partially correct response, marks awarded will be = 2 x ( no. of correct options marked + total no. of correct options ).
  • Not attempting the question will fetch zero mark.

WBJEE 2018 Online Application Form

The Application form will be available from the official website of www.wbjeeb.in. Application for WBJEE 2018 has to be done online only. There is no printed application form available.

It is essential to have a mobile number and a unique email ID. All future communications will be sent through the registered mobile number and
email ID. WBJEEB will not be responsible for non-receipt of any communication by the candidates if the mobile number and / or the email ID are wrong / nonexisting / changed.

Once the registration details i.e. name, father’s name, mother’s name, gender and date of birth are entered and submitted, they cannot be
changed / modified / edited under normal circumstances. Also the information must match exactly with the school admit cards, mark sheets, certificates, photo identity cards, caste / category certificates etc. which a candidate has to produce at the time of entering the examination hall, during counselling, during admission and during registration with the University.

Upload scanned copy of photograph and signature as instructions provided in the Information Bulletin.

If any information other than name, father’s name, mother’s name and date of birth given in the application needs to be corrected then do the correction within the given window period of correction. The Board will not make any correction thereafter.

If any candidate receives any SMS / email regarding discrepancy in photograph / signature uploaded by him / her, he / she must take corrective action immediately within one day.

The amount of application fees to be paid for appearing in the WBJEE 2018 is Rupee 500 plus the Bank’s Service Charges as applicable. The Examination Fees can be paid either in cash less mode by ‘Net Banking’ / ‘Debit Card’ / ‘Credit Card’ or in cash using Allahabad Bank e-challan

Payment status is updated automatically and hence should show ‘OK’ immediately after the payment. But in some rare cases it may be delayed due to the Bank’s network delay / failure or transaction failure at the Electronic Payment Gateway ( EPG ). If the payment status does not show ‘OK’ immediately after making the payment then the candidates are advised as follows,

If the payment was made by e-challan, contact the bank branch immediately, where the cash payment was made.

If the payment was made by net banking / debit card / credit card, and the transaction failed at EPG, the candidate has to make payment once again.

Payment of Examination Fees

After up-loading of images candidates will be directed automatically to the fee-payment step.

The Examination Fees can be paid either in cash less mode by Net Banking / Debit Card / Credit Card or in cash using Allahabad Bank echallan, which will be automatically generated for downloading once the same option is selected. The candidate has to take a print of the challan and deposit the fees in cash in any branch of Allahabad Bank with Core Banking Services ( CBS ).

There is no other method of paying the application fee besides the above.

The amount of Examination Fees : The amount of fees to be paid for appearing in the WBJEE-2018 is Rupee 500/- plus the Bank’s Service Charges as applicable as per the mode of payment selected. The fee once paid is not refundable under any circumstances.

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WBJEE 2018 Admit Card

Admit cards will be generated on the notified date for the student to download and take a print. Candidate has to carry a printed hard copy of the admit card to the examination centre.

Candidates must ensure that the admit card is not mutilated / distorted / soiled even by accident. Candidates with such mutilated / distorted / soiled admit cards will not be allowed to appear in the examination.

Candidates can generate duplicate admit cards only till the date of examination. Hence, candidates are advised to retain their admit cards carefully in secured place to avoid any damage to the document.

If a candidate need a duplicate admit card after the examination, the same can be provided by the Board, but only till 31st July, 2018. In order to get a duplicate admit card, the candidate has to apply to the Board and pay a processing fee of Rupee 500/- by a bank draft in the name of “West Bengal Joint Entrance Examinations Board” payable in Kolkata.

WBJEEB does not verify the information provided by the candidate during on-line application. Admit cards are issued only on the basis of the information provided by the candidate. All applicants, who appear to be prima facie eligible, will be issued admit cards and will be provisionally permitted to sit for WBJEE 2018.

All verifications are to be done during counseling, admission, registration with the university etc. If at any stage after examination it is found on scrutiny that the applicant is otherwise ineligible, his / her candidature shall be treated as cancelled even if he / she had appeared in and secured a Merit Rank. Hence, appearing in the examination and securing a rank does not constitute a right / guarantee in favour of a candidate for his / her claim for admission.

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WBJEE 2018 Exam Centres

Allocation of examination centre will be based on the choices given by the candidate during online form fill-up. However, discretion of the Board in
allocation of examination centre shall be final. No request for change of allocated centre will be entertained under normal circumstances.

  • Candidates from West Bengal, Assam and Tripura must select any three zones in order of preference.
  • Candidates from other states must select any three zones from Kolkata / Howrah / North 24 Parganas / South 24 Parganas in order of preference.

Any examination zone may be dropped if adequate numbers of candidates are not available or under any unavoidable circumstance. In such case the candidate will be allocated alternative examination zone.

District wise list of Examination Zones

Districts of W B.Zones
AlipurduarAlipurduar   
BankuraBankuraBishnupur  
BirbhumBolpurSuri  
Paschim BurdwanAsansolDurgapur  
Purba BurdwanBurdwan   
CoochbiharCoochbihar   
DarjeelingKurseongSiliguri  
Dakshin DinajpurBalurghat   
Uttar DinajpurRaiganj   
HooghlyArambaghBandel, ChinsurahSrirampur 
HowrahBally, UttarparaCentral Howrah, ShibpurDomjurUluberia
JalpaiguriJalpaiguri   
JhargramJhargram   
KalimpongKalimpong   
KolkataCentral KolkataNorth KolkataSouth Kolkata 
MaldaMalda   
Paschim MedinipurGarbetaKharagpurMedinipur 
Purba MedinipurContaiHaldiaTamluk 
MurshidabadBerhampurJiaganjRaghunathganj 
NadiaKalyaniKrishnanagarNabadwip 
PuruliaPurulia   
North 24 ParganasBarrackpur, BarasatBasirhatBongaon 
South 24 ParganasDiamond HarbourJainagarSonarpur, Baruipur 
     
Other States    
AssamSilchar   
TripuraAgartala   

WBJEE 2018 Syllabus

  • WBJEE 2018 Mathematics Syllabus
  • WBJEE 2018 Physics Syllabus
  • WBJEE 2018 Chemistry Syllabus
  • WBJEE 2018 Biological Science Syllabus

WBJEE Syllabus To know more about WBJEE Syllabus – Click Here

WBJEE 2018 Mathematics Syllabus

Algebra

A.P., G.P., H.P. : Definitions of A. P. and G.P.; General term; Summation of first n-terms of series Σn, Σn²,Σn3 ; Arithmetic / Geometric series, A.M., G.M. and their relation; Infinite G.P. series and its sum.

Logarithms: Definition : General properties; Change of base.

Complex Numbers : Definition and properties of complex numbers; Complex conjugate; Triangle inequality; Square root of complex numbers; Cube roots of unity; De Moivre’s theorem ( statement only ) and its elementary applications. Solution of quadratic equation in complex number system.

Quadratic Equations : Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic expression ax2 +bx+c ( where a, b, c are rational numbers and a ≠ 0 ).

Permutation and combination : Permutation of n different things taken r at a time ( r ≤ n ). Permutation of n things not all different. Permutation with repetitions ( circular permutation excluded ).

Combinations of n different things taken r at a time ( r ≤ n ). Combination of n things not all di fferent. Basic properties. Problems involving both permutations and combinations.

Principle of mathematical induction : Statement of the principle, proof by induction for the sum of squares, sum of cubes of first n natural numbers, divisibility properties like 22n — 1 is divisible by 3 ( n ≥ 1 ), 7 divides 32n+1+2n+2 ( n ≥ 1 )

Binomial theorem ( positive integral index ) : Statement of the theorem, general term, middle term, equidistant terms, properties of binomial coefficients.

Matrices : Concepts of m x n ( m ≤ 3, n ≤ 3 ) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of determinants ( statement only ).

Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a matrix. Finding area of a triangle. Solutions of system of linear equations. ( Not more than 3 variables ).

Sets, Relations and Mappings : Idea of sets, subsets, power set, complement, union, intersection and difference of sets, Venn diagram, De Morgan’s Laws, Inclusion / Exclusion formula for two or three finite sets, Cartesian product of sets. Relation and its properties.

Equivalence relation — definition and elementary examples, mappings, range and domain, injective, surjective and bijective mappings, composition of mappings, inverse of a mapping.

Statistics and Probability : Measure of dispersion, mean, variance and standard deviation, frequency distribution. Addition and multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trails and Binomial distribution.

Trigonometry

Trigonometric functions, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions and their properties.

Coordinate geometry of two dimensions

Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polar coordinates, transformation from Cartesian to polar coordinates and vice versa.

Parallel transformation of axes, concept of locus, elementary locus problems. Slope of a line. Equation of lines in different forms, angle between two lines. Condition of perpendicularity and parallelism of two lines.

Distance of a point from a line. Distance between two parallel lines. Lines through the point of intersection of two lines. Equation of a circle with a given center and radius.

Condition that a general equation of second degree in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter . Equation of tangent, normal and chord. Parametric equation of a circle. Intersection of a line with a circle. Equation of common chord of two intersecting circles. Definition of conic section, Directrix, Focus and Eccentricity, classification based on eccentricity. Equation of Parabola, Ellipse and Hyperbola in standard form, their foci, directrices, eccentricities and parametric equations.

Co-ordinate geometry of three dimensions

Direction cosines and direction ratios, distance between two points and section formula, equation of a straight line, equation of a plane, distance of a point from a plane.

Calculus

Differential calculus : Functions, composition of two functions and inverse of a function, limit, continuity, derivative, chain rule, derivative of implicit functions and functions defined parametrically.

Rolle’s Theorem and Lagrange’s Mean Value theorem ( statement only ). Their geometric interpretation and

elementary application. L’Hospital’s rule ( statement only ) and applications. Second order derivative.

Integral calculus : Integration as a reverse process of differentiation, indefinite integral of standard functions. Integration by parts. Integration by substitution and partial fraction. Definite integral as a limit of a sum with equal subdivisions. Fundamental theorem of integral calculus and its applications. Properties of definite integrals.

Differential Equations : Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

Application of Calculus: Tangents and normals, conditions of tangency. Determination of monotonicity, maxima and minima. Differential coefficient as a measure of rate. Motion in a straight line with constant acceleration. Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight lines. Area of the region included between two elementary curves.

Vectors : Addition of vectors, scalar multiplication, dot and cross products, scalar triple product.

WBJEE Mathematics Syllabus To know more about WBJEE Mathematics Syllabus – Click Here

WBJEE 2018 Physics Syllabus

Physical World, Measurements, Units & dimensions : Physical World, Measurements, Units & dimensions Units & Dimensions of physical quantities, dimensional analysis & its applications, error in measurements, significant  figures.

Kinematics : Scalars & vectors, representation of vectors in 3D, dot & cross product & their applications, elementary differential & integral calculus, time-velocity & relevant graphs, equations of motion with uniform acceleration.

Laws of motion : Newton’s laws of motion, using algebra & calculus, inertial & non inertial frames, conservation of linear momentum with applications, elastic & inelastic collisions, impulse centripetal force, banking of roads, relative velocity, projectile motion & uniform circular motion

Work, power, energy : Work, power, energy Work, work-energy theorem, power, energy, work done by constant & variable forces, PE & KE, conservation of mechanical energy, conservative and nonconservative forces, PE of a spring,

Motion of centre of mass, connected systems, Friction : Centre of mass of two-particle system, motion of connected system, torque, equilibrium of rigid bodies, moments of inertia of simple geometric bodies ( 2D ) [ without derivation ] conservation of angular momentum, friction and laws of friction.

Gravitation : Kepler’s laws, ( only statement ) universal law of gravitation, acceleration due to gravity ( g ), variation of g, gravitational potential & PE, escape velocity, orbital velocity of satellites, geostationary orbits.

Bulk properties of matter : Elasticity, Hooke’s law, Young’s modulus, bulk modulus, shear, rigidity modulus, Poisson’s ratio elastic potential energy.

Fluid pressure: Pressure due to a fluid column, buoyancy, Pascal’s law, effect of gravity on fluid pressure. Surface tension: Surface energy, phenomena involving surface tension, angle of contact, capillary rise,

Viscosity : Coefficient of viscosity, streamline & turbulent motion, Reynold’s number, Stoke’s law, terminal velocity, Bernoulli’s theorem.

Heat & Thermal Physics : Heat & temperature, thermal expansion of solids. liquids & gases, ideal gas laws, isothermal & adiabatic processes; anomalous expansion of water & its effects, sp. heat capacity, Cp, Cv, calorimetry; change of state, specific latent heat capacity. Heat transfer; conduction, thermal and thermometric conductivity, convection & radiation, Newton’s law of cooling, Stefan’s law.

Thermodynamics : Thermal equilibrium ( Zeroth law of thermodynamics ), heat, work & internal energy. 1st law of thermodynamics, isothermal & adiabatic processes, 2nd law of thermodynamics, reversible & irreversible processes.

Kinetic theory of gases : Equation of state of a perfect gas, kinetic theory of gases, assumptions in Kinetic theory of gases, concept of pressure. & temperature; rms speed of gas molecules; degrees of freedom, law of equipartition of energy ( introductory ideas ) & application to specific heats of gases; mean free path, Avogadro number.

Oscillations & Waves : Periodic motion – time period, frequency, time-displacement eqation, Simple harmonic motion ( S.H.M ) & its equation; phase; SHM in different sytems, restoring force & force const, energy in S.H.M. – KE & PE, free, forced & damped oscillations ( introductory ideas ), resonance wave motion, equation for progressive wave, longitudinal & transverse waves, sound waves, Newton’s formula & Laplace’s correction, factors affecting the velocity of sound in air, principles of superposition of waves, reflection of waves, standing waves in strings & organ pipes, fundamental mode, harmonics &overtones, beats, Doppler effect.

Electrostatics : Conservation of electric charges, Coulomb’s law-force between two point charges, forces between multiple charges; superposition principle & continuous charge distribution. Electric field, & potential due to a point charge & distribution of charges, electric field lines electric field due to a dipole; torque on a dipole in uniform electric field; electric flux, Gauss’ theorem & its simple applications, conductors & insulators, free charges & bound charges inside a conductor; dielectrics & electric polarisation, capacitors & capacitance, combination of capacitors in series & in parallel, capacitance of a parallel plate capacitor with & without dielectric medium between the plates, energy stored in a capacitor.

Current Electricity : Electric current, & conductor, drift velocity’ mobility & their relation with electric current; Ohm’s law, electrical resistance, Ohmic and non-Ohmic conductors, electrical energy & power, carbon resistors, colour codes, combination of resistances, temperature dependence of resistances, electric cell, emf and internal resistance of an electric cell, pd, combination of cells, secondary cells, ( introductory ) Kirchoff’s laws of electrical network, simple applications, principle of Wheatstone bridge, metre bridge and potentiometer and their uses, thermoelectricity; Seebeck effect; Peltier effect, thermo emf.

Magnetic effect of current : Concept of magnetic field, Oersted’s experiment, Biot – Savart law & its application to current carrying circular loop; Ampere’s law & its applications to infinitely long straight wire, straight and toroidal solenoids; force on a moving charge in uniform magnetic & electric fields, cyclotron frequency; force on a current-carrying conductor in a uniform magnetic field, force between two parallel current-carrying conductors– definition of ampere.

Torque experienced by a current loop in a uniform magnetic field; moving coil galvanometer-its current sensitivity & conversion to ammeter & voltmeter, Inter-conversion of voltmeter & ammeter & change of their ranges.

Magnetics : Current loop as a magnetic dipole & its magnetic dipole moment, magnetic dipole moment of a revolving electron, magnetic field intensity due to a magnetic dipole bar magnet along its axis & perpendicular to its axis, torque on a magnetic dipole ( bar magnet ) in a uniform magnetic field; magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field & its magnetic elements. para-, dia- & ferro- magnetic substances, with examples. Electromagnets & the factors affecting their strengths, permanent magnets.

Electromagnetic induction & alternating current : Electromagnetic induction; Faraday’s laws, induced emf & current; Lenz’s Law, eddy currents, self  & mutual induction, alternating currents, peak and rms value of alternating current and voltage; reactance and impedance; LR & CR circuits, phase lag & lead, LCR series circuit, resonance; power in AC circuits, wattless current.

Electromagnetic waves : Electromagnetic waves and their characteristics ( qualitative ideas only ), transverse nature of electromagnetic waves, electromagnetic spectrum, applications of the waves from the different parts of the spectrum.

Optics I (Ray optics) : Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection & its applications, optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lensmaker’s formula.

Newton’s relation: Displacement method to find position of images ( conjugate points ) Magnification, power of a lens, combination of thin lenses in contact, combination of a lens & a mirror refraction and dispersion of light through a prism; optical instruments, human eye, image formation & accommodation, correction of eye defects (myopia, hypermetropia) using lenses, microscopes & astronomical telescopes (reflecting & refracting) & their magnifying powers.

Optics II ( Wave Optics ) : Scattering of light – blue colour of the sky, elementary idea of Raman effect; wave optics: wave front & Huygens’ principle, reflection & refraction of plane wave at a plane surface using wave fronts.

Proof of laws of reflection & refraction using Huygens’ principle Interference, Young’s double slit experiment & expression for fringe width, coherent sources, Fraunhoffer diffraction due to a single slit,

Particle nature of light & wave particle dualism : Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation – particle nature of light, matter waves; wave nature of particles, de Broglie relation.

Atomic Physics : Alpha-particle scattering expt Rutherford’s nuclear atom model of atom; Bohr model of hydrogen atom, energy levels in a hydrogen atom, hydrogen spectrum, continuous & characteristic xrays.

Nuclear Physics : Composition & size of nucleus, atomic masses, isotopes, isobars; isotones, radioactivity – alpha, beta & gamma particles / rays & their properties; radioactive decay law; massenergy relation, mass defect; binding energy per nucleon & its variation with mass number; nuclear fission & fusion.

Solid state Electronics : Energy bands in solids ( qualitative ideas only ), conductors, insulators & semiconductors; semiconductor diode – I-V characteristics in forward & reverse bias, diode as a rectifier; I-V characteristics of LED, photodiode, solar cell & Zener diode; Zener diode as a voltage regulator, junction transistor ( BJT ), transistor action, characteristics of a BJT, BJT as an amplifier ( CE configuration ) & oscillator; logic gates ( OR, AND, NOT, NAND & NOR ).

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WBJEE 2018 Chemistry Syllabus

Atoms, Molecules and Chemical Arithmetic

Dalton’s atomic theory; Gay Lussac’s law of gaseous volume; Avogadro’s Hypothesis and its applications. Atomic mass; Molecular mass; Equivalent weight; Valency; Gram atomic weight; Gram molecular weight; Gram equivalent weight and mole concept; Chemical formulae; Balanced chemical equations; Calculations ( based on mole concept ) involving common oxidation – reduction, neutralization, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality. Percentage composition, empirical formula and molecular formula; Numerical problems.

Atomic Structure

Concept of Nuclear Atom – electron, proton and neutron ( charge and mass ), atomic number. utherford’s model and its limitations; Extra nuclear structure; Line spectra of hydrogen atom. Quantization of energy ( Planck’s equation E = hν ); Bohr’s model of hydrogen atom and its limitations, Sommerfeld’s modifications ( elementary idea ); The four quantum numbers, ground state electronic configurations of many electron atoms and mono – atomic ions; The Aufbau Principle; Pauli’s Exclusion Principle and Hund’s Rule. Dual nature of matter and light, de Broglie’s relationship, Uncertainty principle; The concept of atomic orbitals, shapes of s, p and d orbitals ( pictorial approach ).

Radioactivity and Nuclear Chemistry 

Radioactivity α-, β-, γ rays and their properties; Artificial transmutation; Rate of radioactive decay, decay constant, half-life and average age life period of radio-elements; Units of radioactivity; Numerical problems. Stability of the atomic nucleus – effect of neutron-proton (n/p) ratio on the modes of decay, group displacement law, radioisotopes and their uses ( C, P, Co and I as examples ) isobars and isotones ( definition and examples ), elementary idea of nuclear fission and fusion reactions.

The Periodic Table and Chemical Families

Modern periodic law ( based on atomic number ); Modern periodic table based on electronic configurations, groups ( Gr. 1-18 ) and periods. Types of elements – representative ( s-block and p- block ), transition ( d-block ) elements and inner transition ( f-block / lanthanides and actinides ) and their general characteristics. Periodic trends in physical and chemical properties – atomic radii, valency, ionization energy, electron affinity, electronegativity, metallic character, acidic and basic characters of oxides and hydrides of the representative elements ( up to Z = 36 ). Position of hydrogen and the noble gases in the periodic table; Diagonal relationships.

Chemical Bonding and Molecular Structure

Valence electrons, the Octet rule, electrovalent, covalent and coordinate covalent bonds with examples; Properties of electrovalent and covalent compounds. Limitations of Octet rule ( examples ); Fajans Rule. Directionality of covalent bonds, shapes of poly – atomic molecules ( examples ); Concept of hybridization of atomic orbitals ( qualitative pictorial approach ): sp, sp2 , sp3 and dsp2 . Molecular orbital energy diagrams for homonuclear diatomic species – bond order and magnetic properties. Valence Shell Electron Pair Repulsion (VSEPR) concept (elementary idea) – shapes of molecules. Concept of resonance ( elementary idea ), resonance structures ( examples ). Elementary idea about electronegativity, bond polarity and dipole moment, inter- and intra-molecular hydrogen bonding and its effects on physical properties (mp, bp and solubility); Hydrogen bridge bonds in diborane.

Coordination Compounds

Introduction, Double salts and complex salts, coordination compounds ( examples only ), Werner’s theory, coordination number ( examples of coordination number 4 and 6 only ), colour, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds.

Solid State

Classification of solids based on different binding forces: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids ( elementary idea ). Unit cell in two dimensional and three dimensional lattices, calculation of density of unit cell, packing in solids, packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects, electrical and magnetic properties. Band theory of metals, conductors, semiconductors and insulators and n & p type semiconductors.

Liquid State

Vapour pressure, viscosity and surface tension ( qualitative idea only, no mathematical derivations ).

Gaseous State

Measurable properties of gases. Boyle’s Law and Charles Law, absolute scale of temperature, kinetic theory of gases, ideal gas equation – average, root mean square and most probable velocities and their relationship with temperature. Daltons Law of partial pressure, Grahams Law of gaseous diffusion. Deviations from ideal behavior. Liquefaction of gases, real gases, van der Waals equation; Numerical problems.

Chemical Energetics and Chemical Dynamics

Chemical Energetics – Conservation of energy principle, energy changes in physical and chemical transformations. First law of thermodynamics; Internal energy, work and heat, pressure – volume work; Enthalpy. Internal energy change ( ΔE ) and Enthalpy change ( ΔH ) in a chemical reaction. Hesss Law and its applications ( Numerical problems ). Heat of reaction, fusion and apourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity. Third law of thermodynamics ( brief introduction ).

Chemical Equilibria – The Law of mass action, dynamic nature of chemical equilibria. Equilibrium constants, Le Chateliers Principle. Equilibrium constants of gaseous reactions (Kp and Kc) and relation between them (examples). Significance of ΔG and ΔGº. Chemical Dynamics – Factors affecting the rate of chemical reactions (concentration, pressure, temperature, catalyst), Concept of collision theory. Arrhenius equation and concept of activation energy. Order and molecularity (determination excluded); First order reactions, rate constant, half – life (numerical problems), examples of first order and second order reactions.

Physical Chemistry of Solutions

Colloidal Solutions – Differences from true solutions; Hydrophobic and hydrophilic colloids ( examples and uses ); Coagulation and peptization of colloids; Dialysis and its applications; Brownian motion; Tyndall effect and its applications; Elementary idea of emulsion, surfactant and micelle.

Electrolytic Solutions – Specific conductance, equivalent conductance, ionic conductance, Kohlrausch’s law, Faraday’s laws of electrolysis, applications. Numerical problems.

Non-electrolytic Solutions – Types of solution, vapour pressure of solutions. Raoult’s Law; Colligative properties – lowering of vapour pressure, elevation of boiling point, depression of freezing point, osmotic pressure and their relationships with molecular mass (without derivations); Numerical problems.

Ionic and Redox Equilibria

Ionic equilibria – ionization of weak electrolytes, Ostwald’s dilution law. Ionization constants of weak acids and bases, ionic product of water, the pH – scale, pH of aqueous solutions of acids and bases; Buffer solutions, buffer action and Henderson equation. Acid-base titrations, acid – base indicators ( structures not required ).

Hydrolysis of salts ( elementary idea ), solubility product, common ion effect ( no numerical problems ). Redox Equilibria: Oxidation – Reduction reactions as electron transfer processes, oxidation numbers, balancing of redox reactions by oxidation number and ion-electron methods. Standard electrode potentials ( E° ), Electrochemical series, feasibility of a redox reaction.

Significance of Gibb’s equation: ΔG° = – nFΔE° (without derivation), no numerical problems. Redox titrations with ( examples ); Nernst equations ( Numerical problems ).

Hydrogen

Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen, hydrides-ionic covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen peroxide – preparation, reactions and structure and use; hydrogen as a fuel. Chemistry of Non-Metallic Elements and their Compounds: Carbon – occurrence, isotopes, allotropes ( graphite, diamond, fullerene ); CO and CO2 production, properties and uses. Nitrogen and Phosphorus – occurrence, isotopes, allotopes, isolation from natural sources and purification, reactivity of the free elements. Preparation, properties, reactions of NH3, PH3, NO, NO2, HNO2,

HNO3, P4O10, H3PO3 and H3PO4. Oxygen and Sulphur – Occurrence, isotopes, allotropic forms, isolation from natural sources and purification, properties and reactions of the free elements. Water, unusual properties of water, heavy water ( production and uses ). Hydrogen peroxide and ozone ( production, purification, properties and uses ). Halogens – comparative study, occurrence, physical states and chemical reactivities of the free elements, peculiarities of fluorine and iodine; Hydracids of halogens (preparation, properties, reactions and uses), interhalogen compounds ( examples ); Oxyacids of chlorine.

Chemistry of Metals

General principles of metallurgy – occurrence, concentration of ores, production and purification of metals, mineral wealth of India. Typical metals ( Na, Ca, Al, Fe, Cu and Zn ) – occurrence, extraction, purification (where applicable ), properties and reactions with air, water, acids and non-metals. Manufacture of steels and alloy steel (Bessemer, Open-Hearth and L.D. process). Principles of chemistry involved in electroplating, anodizing and galvanizing. Preparation and properties of K2Cr2O7 and KMnO4. Lanthanoids – Electronic configuration, oxidation states, chemical reactivity and lanthanoid contraction and its consequences. Actinoids – Electronic configuration, oxidation states and comparison with lanthanoids.

Chemistry in Industry

Large scale production ( including physicochemical principles where applicable, omitting technical details ) and uses of Sulphuric acid ( contact process ), Ammonia ( Haber’s process ), Nitric acid (Ostwald’s process), sodium bicarbonate and sodium carbonate (Solvey process).

Polymers

Natural and synthetic polymers, methods of polymerization ( addition and condensation ), copolymerization, some important polymers – natural and synthetic like polythene, nylonpolyesters, bakelite, rubber. Biodegradable and non-biodegradable polymers.

Surface Chemistry

Adsorption – physisorption and chemisorption, factors affecting adsorption of gases on solids, catalysis, homogenous and heterogenous activity and selectivity; enzyme catalysis colloidal state distinction between true solutions, colloids and suspension; lyophilic , lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation, emulsion – types of emulsions.

Environmental Chemistry

Common modes of pollution of air, water and soil. Ozone layer, ozone hole – important chemical reactions in the atmosphere, Smog; major atmospheric pollutants; Green House effect; Global warming pollution due to industrial wastes, green chemistry as an alternative tool for reducing pollution, strategies for control of environment pollution.

Chemistry of Carbon Compounds: Hybridization of carbon: σ – and π – bonds. Isomerism – constitutional and stereoisomerism; Geometrical and optical isomerism of compounds containing upto two asymmetric carbon atoms. IUPAC nomenclature of simple organic compounds – hydrocarbons, mono and bifunctional molecules only ( alicyclic and heterocyclic compounds excluded ).

Conformations of ethane and n-butane (Newman projection only). Electronic Effects: Inductive, resonance and hyperconjugation. Stability of carbocation, carbanion and free radicals; Rearrangement of carbocation; Electrophiles and nucleophiles, tautomerism in β-dicarbonyl compounds, acidity and basicity of simple organic compounds.

Compounds

Alkanes – Preparation from alkyl halides and carboxylic acids; Reactions — halogenation and combustion. Alkenes and Alkynes – Preparation from alcohols; Formation of Grignard reagents and their synthetic applications for the preparation of alkanes, alcohols, aldehydes, ketones and acids; SNl and SN2 reactions ( preliminary concept). Markownikoff’s and anti-Markownikoff’s additions; Hydroboration; Oxymercuration-demercuration, reduction of alkenes and alkynes ( H2 / Lindler catalyst and Na in liquid NH3 ), metal acetylides.

Haloalkanes and Haloarenes

Haloalkanes – Preparation from alcohols; Nomenclature, nature of C -X bond, physical and chemical

properties, mechanism of substitution reactions, optical rotation. Formation of Grignard reagents and their synthetic applications for the preparation of alkanes, alcohols, aldehydes, ketones and acids; SN1 and SN2 reactions ( preliminary concept ). Uses and environmental effects of – dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT.

Alcohols

Preparation of alcohols from carbonyl compounds and esters. Reaction – dehydration, oxidation, esterification, reaction with sodium, ZnCl2 / HCl, phosphorous halides. Ethers – Preparation by Williamson’s synthesis; Cleavage with HCl and HI. Aldehydes and Ketones – Preparation from esters, acid chlorides, gem-dihalides, Ca-salt of carboxylic acids.

Reaction – Nucleophilic addition with HCN, hydrazine, hydroxyl amines, semi carbazides, alcohols; Aldol condensation, Clemmensen and Wolff – Kishner reduction, haloform, Cannizzaro and Wittig reactions. Carboxylic Acids – Hydrolysis of esters ( mechanism excluded ) and cyanides; Hunsdicker and HVZ reactions. Aliphatic Amines – Preparation from nitro, cyano and amido compounds. Distinction of 1º, 2º and 3º amines ( Hinsberg method ); Reaction with HNO2; Carbyl amine reaction.

Aromatic Compounds

Benzene – Kekule structure, aromaticity and Hückel rule. Electrophilic substitution – halogenation, sulfonation, nitration, Friedel Crafts reaction, ozonolysis. Directive influence of substituents in monosubstituted benzenes. Carcinogenicity and toxicity.Amines – Preparation from reduction of nitro compounds; Formation of diazonium salts and their stability; Replacement of diazonium group with H, OH, X (halogen), CN and NO2, diazocoupling and reduction.

Haloarenes – Nature of C -X bond, substitution reactions; Nucleophilic substitution, cine substitution (excluding mechanism, Directive influence of halogen in monosubstituted compounds only). Phenols – halogenation, sulfonation, nitration, Reimer – Tiemann and Kolbe reactions. Aromatic Aldehydes – Preparation by Gattermann, Gattermann-Koch, Rosenmund and Stephen’s method. Reactions – Perkin, Benzoin and Cannizzaro.

Application Oriented chemistry

Main ingredients, their chemical natures ( structures excluded ) and their side effects, if any, of common antiseptics, analgesics, antacids, vitamin-C.

Introduction to Bio-Molecules

Carbohydrates – Pentoses and hexoses. Distinctive chemical reactions of glucose. Aminoacids  glycine,

alanine, aspartic acid, cysteine ( structures ). Zwitterion structures of amino acids, peptide bond. ADP and ATP – structures and role in bioenergetics; Nucleic acids – DNA and RNA skeleton structures. Names of essential elements in biological system.

Principles of Qualitative Analysis

Detection of water soluble non-interfering Acid and Basic Radicals by dry and wet tests from among:

Acid Radicals : Cl- , S2 -, SO4 2- , NO3 – , CO3 2- .

Basic Radicals : Cu2+, Al3+, Fe3+, Fe2+, Zn2+, Ca2+, Mg2+, Na+ , NH4 + .

Detection of special elements ( N, Cl, Br, I and S ) in organic compounds by chemical tests. Identification of functional groups in: phenols, aromatic amines, aldehydes, ketones and carboxylic acids.

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WBJEE 2018 Biological Science Syllabus

Science of Life : Basic unit of life process; Cell Theory; prokaryotic and eukaryotic cells – structure and differences.

Ultra structure and functions of cellular components : Cell wall, plasma membrane, plastids, endoplasmic reticulum, Golgi bodies, mitochondria, ribosomes, lysosomes, nucleus, nucleolus, centrosome, microbodies (peroxisomes and glyoxysomes), cytoskeleton, vacuole, centriole, cilia, flagella

Chemical constituents of living cells :  Classification, components and structural properties of carbohydrates, lipids, proteins and nucleic acids; enzymes, enzymatic action ( lock and key, allosterism, regulation )

Chromosome :  Morphology of chromosomes; brief idea of polytene chromosomes; euchromatin and heterochromatin; nucleic acids as genetic material ( viral transduction and bacterial transformation )

Cell division :  Cell cycle; mitosis- definition and significance ( process not required ); meiosis- process, types and significance; difference between mitosis and meiosis.

Genetics and Evolution : Mendelian inheritance ( laws only ); deviations from Mendelism : (i) incomplete dominance, (ii) codominance, (iii) multiple alleles and inheritance of blood groups ( ABO, Rh ); phylogenetic inheritance ( elementary ); chromosome theory of inheritance; chromosomes and genes; sex determination in humans, birds and honey bees; linkage and crossing over; sex-linked inheritance- haemophilia, colour blindness; Mendelian disorders in humans- (i) autosomal (a) Thalassemia (b) Down syndrome; (ii) sex-linked (a) Turner’s syndrome (b) Klinefelter’s syndrome ( cause and symptoms only )

Molecular basis of inheritance : DNA as the genetic material ( Griffith, Avery-MacLeod-McCarty and Hershey-Chase experiments ); structure of DNA and RNA; types of RNA- mRNA, rRNA and t-RNA; DNA packaging; central dogma ( elementary ); DNA replication; transcription; genetic code; translation; elementary knowledge of regulation of gene expression ( lac operon ); DNA finger printing ( basic idea only )

Evolution : Origin of life- theories of origin of life; abiogenic origin / chemical origin of life – Oparin – Haldane hypothesis; biological evolution- evidences, theories of organic evolution, Darwin’s contribution, synthetic theory; mechanism of evolution- variation and its sources of origin, mutation, recombination; gene flow and genetic drift; Hardy – Weinberg principle; human evolution- an outline.

Morphological variations and structural organization : Plant tissue and tissue system- types, structure and functions; animal tissue – classification, structure and functions in brief.

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WBJEE 2018 Results

WBJEE Exam Date

West Bengal Joint Entrance Exam was conducted on 22nd April, 2018.

WBJEE Result Date

WBJEE 2018 Entrance Exam Results has been declared

http://jeerank-2018.wbjeeb.in/rank

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WBJEE 2018 Counselling

A separate notification with details of e-counseling / seat allotment and admission will be published in www.wbjeeb.in and www.wbjeeb.nic.in shortly after publication of result. Only those, eligible for e-counseling, will be able to participate in it.

Course-wise and institute wise availability of seats as provided by the competent authorities will also be published before counseling and allotment.

Credentials of all candidates participating in e-counseling will be verified at Reporting Centers on stipulated dates. Details of the reporting centers will be given in the rank cards of the candidates declared eligible for e-counseling.

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WBJEE 2018 Important Dates

S.NoEventDate
1Start of WBJEE 2018 Online form fill-up19th December, 2017
2Last date of WBJEE 2018 online form fill-up including payment and downloading confirmation page19th January, 2018
3Last date of downloading confirmation page 24th January, 2018
4Window for WBJEE 2018 correction by candidates26th January, 2018 to 28th Janaury, 2018
5Publication of WBJEE 2018 Downloadable Admit Card10th April, 2018 ( tentative )
6WBJEE 2018 Date of Examinations : Paper-I ( Mathematics ) Paper-II ( Physics & Chemistry )22nd April, 2018
11:00 AM to 1:00 PM
2:00 PM to 4:00 PM
7Publication of Results WBJEE 20185th June, 2018 ( tentative )

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Contact Details

West Bengal Joint Entrance Examination Board,
AQ – 13 / 1, Sector – V,
Salt Lake City,
Kolkata – 700 091,
Website : www.wbjeeb.in.

Engineering + Medica

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