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JEE Main 2025 (January)Chapter-wise Qs Bank
Physics
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1
,Content
1. Mathematics in Physics 3
2. Units and Dimensions 4
3. Motion In One Dimension 7
4. Motion In Two Dimensions 8
5. Laws of Motion 9
6. Work Power Energy 10
7. Center of Mass Momentum and Collision 13
8. Rotational Motion 15
9. Gravitation 18
10. Mechanical Properties of Solids 20
11. Mechanical Properties of Fluids 21
12. Oscillations 24
13. Waves and Sound 26
14. Thermal Properties of Matter 27
15. Thermodynamics 29
16. Kinetic Theory of Gases 33
17. Electrostatics 34
18. Capacitance 39
19. Current Electricity 42
20. Magnetic Properties of Matter 46
21. Magnetic Effects of Current 47
22. Electromagnetic Induction 50
23. Alternating Current 52
24. Ray Optics 53
25. Wave Optics 59
26. Dual Nature of Matter 61
27. Atomic Physics 64
28. Nuclear Physics 65
29. Electromagnetic Waves 66
30. Semiconductors 68
31. Experimental Physics 72
Answer Keys 73
2
,Mathematics in Physics Chapter-wise Question Bank
JEE Main 2025 January MathonGo
Q1. 22 Jan Shift 2
The maximum percentage error in the measurment of density of a wire is [Given, mass of wire = (0.60 ± 0.003)g
radius of wire = (0.50 ± 0.01)cm length of wire = (10.00 ± 0.05)cm]
(1) 8 (2) 5
(3) 4 (4) 7
Q2. 23 Jan Shift 1
Two particles are located at equal distance from origin. The position vectors of those are represented by
¯ ^ ^ ^
A = 2i + 3nj + 2k and B
¯
= 2i − 2j + 4pk, respectively. If both the vectors are at right angle to each other, the
^ ^ ^
value of n −1
is _____ .
Q3. 23 Jan Shift 2
The energy of a system is given as E(t) = α 3
e
−βt
, where t is the time and β = 0.3 s . The errors in the
−1
measurement of α and t are 1.2% and 1.6%, respectively. At t = 5 s, maximum percentage error in the energy is :
(1) 6% (2) 8.4%
(3) 11.6% (4) 4%
Q4. 24 Jan Shift 1
For an experimental expression y = 32.3×1125
27.4
, where all the digits are significant. Then to report the value of y we
should write
(1) y = 1326.19 (2) y = 1330
(3) y = 1326.186 (4) y = 1326.2
Q5. 29 Jan Shift 2
4
A physical quantity Q is related to four observables a, b, c, d as follows : Q = ab
cd
where,
a = (60 ± 3)Pa; b = (20 ± 0.1)m; c = (40 ± 0.2)Nsm
−2
and d = (50 ± 0.1)m, then the percentage error in Q is
x
1000
, where x = ________ .
3
, Units and Dimensions Chapter-wise Question Bank
JEE Main 2025 January MathonGo
Q1. 22 Jan Shift 1
If B is magnetic field and μ is permeability of free space, then the dimensions of (B/μ
0 0) is
(1) ML 2
T
−2
A
−1
(2) MT −2
A
−1
(3) L−1
A (4) LT −2
A
−1
Q2. 22 Jan Shift 2
Which one of the following is the correct dimensional formula for the capacitance in F ? M, L, T and C stand for
unit of mass, length, time and charge,
(1) [F] = [C 2
M
−1
L
−2
T ]
2
(2) [F] = [C 2
M
−2
L
2
T ]
2
(3) [F] = [CM −2 −2
L T
−2
] (4) [F] = [CM −1
L
−2
T ]
2
Q3. 23 Jan Shift 1
The position of a particle moving on x-axis is given by x(t) = A sin t + B cos 2
t + Ct
2
+ D , where t is time. The
dimension of ABC
D
is
(1) L 2
T
−2
(2) L2
(3) L (4) L3
T
−2
Q4. 23 Jan Shift 1
The electric flux is ϕ = ασ + βλ where λ and σ are linear and surface charge density, respectively. ( α
β
) represents
(1) electric field (2) area
(3) charge (4) displacement
Q5. 23 Jan Shift 2
Match List - I with List - II.
List - I List - II
2 −2
(A) Permeability of f ree space (I) [M L T ]
−2 −1
(B) Magnetic f ield (II) [M T A ]
−2 −2
(C) Magnetic moment (III) [M L T A ]
2
(D) Torsional constant (IV) [L A]
Choose the correct answer from the options given below :
(1) (A)-(IV), (B)-(III), (C)-(I), (D)-(II) (2) (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
(3) (A)-(I), (B)-(IV), (C)-(II), (D)-(III) (4) (A)-(II), (B)-(I), (C)-(III), (D)-(IV)
Q6. 28 Jan Shift 1
In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured
quantity has dimension of [M a b
L T ]
c
. If b = 3, the value of c is ________
Q7. 28 Jan Shift 2
4
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