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Exam Details

WB JEE 2023

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Questions 155
Duration 180 mins
Package WB JEE- Previous Year Papers

Paper pattern & analysis

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Showing all 155 questions in this paper.

Subject distribution

Mathematics
75 Qs
Chemistry
40 Qs
Physics
40 Qs

Topic distribution

Calculus
30 Qs
Algebra
28 Qs
Mechanics
18 Qs
Physical Chemistry
17 Qs
Coordinate Geometry
15 Qs
Electricity
14 Qs
Organic Chemistry
14 Qs
Inorganic Chemistry
9 Qs
Optics
4 Qs
Modern Physics
4 Qs
Trigonometry
2 Qs

Subtopic distribution

Definite Integration
7 Qs
Straight Lines And Pair Of Straight Lines
6 Qs
Limits Continuity And Differentiability
6 Qs
Differentiation
6 Qs
General Organic Chemistry
5 Qs
Matrices And Determinants
5 Qs
Application Of Derivatives
5 Qs
Electromagnetic Induction
4 Qs
Heat And Thermodynamics
4 Qs
Electrostatics
4 Qs
Coordination Compounds
4 Qs
Sets And Relations
4 Qs

Difficulty distribution

Not classified 155 100%

Question type distribution

Multiple Choices 155 100%

Syllabus

Full Syllabus

Sample questions from this paper

Questions are selected across the paper subjects wherever the paper contains that variety.

1
2023 · Chemistry · Physical Chemistry · Some Basic Concepts Of Chemistry
WB JEE 2023

Arrange the following in order of increasing mass

I. 1 mole of N\(_2\)

II. 0.5 mole of O\(_3\)

III. \(3.011\times10^{23}\) molecules of O\(_2\)

IV. 0.5 gram atom of O\(_2\)

A
IV < III < II < I
B
IV < I < III < II
C
III < II < IV < I
D
I < III < II < IV
2
2023 · Physics · Mechanics · Units And Measurements
WB JEE 2023

A modified gravitational potential is given by \(\mathrm{V}=-\frac{\mathrm{GM}}{\mathrm{r}}+\frac{\mathrm{A}}{\mathrm{r}^{2}}\). If the constant A is expressed in terms of gravitational constant (G), mass (M) and velocity of light (c), then from dimensional analysis, A is,

A
\(\frac{G^{2} M^{2}}{c^{2}}\)
B
\(\frac{\mathrm{GM}}{\mathrm{c}^{2}}\)
C
\(\frac{1}{c^{2}}\)
D
Dimensionless
3
2023 · Mathematics · Algebra · Sets And Relations
WB JEE 2023

Let X be a nonvoid set. If \(\rho_1\) and \(\rho_2\) be the transitive relations on X, then

(\(\circ\) denotes the composition of relations)

A
\(\rho_1~\circ~\rho_2\) is transitive relation
B
\(\rho_1~\circ~\rho_2\) is not transitive relation
C
\(\rho_1~\circ~\rho_2\) is equivalence relation
D
\(\rho_1~\circ~\rho_2\) is not any relation on X
4
2023 · Chemistry · Organic Chemistry · General Organic Chemistry
WB JEE 2023

The correct order of boiling points of N-ethylethanamine (I), ethoxyethane (II) and butan-2-ol (III) is

A
III < II < I
B
II < III < I
C
II < I < III
D
III < I < II
5
2023 · Physics · Electricity · Electromagnetic Induction
WB JEE 2023

A charged particle of charge q and mass m is placed at a distance 2R from the centre of a vertical cylindrical region of radius R where magnetic field varies as \(\vec{B}=\left(4 t^{2}-2 t+6\right) \hat{k}\), where t is time. Then which of the following statements is/are true?

A
Induced electric field lines form closed loops.
B
Electric field varies linearly with r if r < R, where r is the radial distance from the centerline of the cylinder.
C
The charged particle will move in clockwise direction when viewed from top.
D
Acceleration of the charged particle is \(\mathrm{\frac{7q}{2m}}\) when t = 2 sec.
6
2023 · Mathematics · Algebra · Sets And Relations
WB JEE 2023

Let A, B, C are subsets of set X. Then consider the validity of the following set theoretic statement:

A
A \(\cup\) (B \ C) = (A \(\cup\) B) \ (A \(\cup\) C)
B
(A \ B) \ C = A \ (B \(\cup\) C)
C
(A \(\cup\) B) \ A = A \ B
D
A \ C = B \ C