Kinematics · JEE Main previous year questions

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2025 12 questions

Q392025 · 8 Apr 2025 · Shift 2
Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is 8 times higher than that of the second ball. $T_{1}$ and $T_{2}$ are the total flying times of first and second ball, respectively, then the ratio of $T_{1}$ and $T_{2}$ is
1. A. $2 : 1$
2. B. $2 : 1$
3. C. $22 : 1$
4. D. $4 : 1$
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Answer: C
Q432025 · 8 Apr 2025 · Shift 2
A body of mass $2 kg$ moving with velocity of $v_{in} = 3 \hat{i} + 4 \hat{j} ms^{- 1}$ enters into a constant force field of $6 N$ directed along positive z-axis. If the body remains in the field for a period of $\frac{5}{3}$ seconds, then velocity of the body when it emerges from force field is.
1. A. $3 \hat{i} + 4 \hat{j} + 5 \hat{k}$
2. B. $4 \hat{i} + 3 \hat{j} + 5 \hat{k}$
3. C. $3 \hat{i} + 4 \hat{j} - 5 \hat{k}$
4. D. $3 \hat{i} + 4 \hat{j} + 5 \hat{k}$
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Answer: D
Q282025 · 4 Apr 2025 · Shift 2
Displacement of a wave is expressed as $x (t) = 5 cos (628 t + \frac{π}{2}) m$ . The wavelength of the wave when its velocity is $300 m/s$ is : $(π = 3.14)$
1. A. $0.33 m$
2. B. $0.5 m$
3. C. $3 m$
4. D. $5 m$
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Answer: C
Q322025 · 4 Apr 2025 · Shift 2
1. A.(B), (C), (D) only
2. B.(B), (D), (E) only
3. C.(A), (D), (E) only
4. D.(B), (C), (E) only
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Answer: D
Q292025 · 3 Apr 2025 · Shift 1
1. A.
2. B.
3. C.
4. D.
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Answer: D
Q422025 · 3 Apr 2025 · Shift 2
A particle is projected with velocity $u$ so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as $\frac{n u ^{2}}{25 g}$ , where value of $n$ is: (Given, ' $g$ ' is the acceleration due to gravity.)
1. A. $6$
2. B. $12$
3. C. $18$
4. D. $24$
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Answer: D
Q292025 · 2 Apr 2025 · Shift 1
A river is flowing from west to east direction with speed of $9 km h^{- 1}$ . If a boat capable of moving at a maximum speed of $27 km h^{- 1}$ in still water, crosses the river in half a minute, while moving with maximum speed at an angle of $15 0^{\circ}$ to direction of river flow, then the width of the river is :
1. A.112.5 m
2. B.75 m
3. C.300 m
4. D. $112.5 \times 3 m$
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Answer: A
Q502025 · 2 Apr 2025 · Shift 1· Numerical answer
A person travelling on a straight line moves with a uniform velocity $v_{1}$ for a distance $x$ and with a uniform velocity $v_{2}$ for the next $\frac{3}{2} x$ distance. The average velocity in this motion is $\frac{50}{7} m/s$ . If $v_{1}$ is $5 m/s$ then $v_{2} =$ _________ $m/s$ .
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Answer: 10
Q302025 · 2 Apr 2025 · Shift 2
A sinusoidal wave of wavelength $7.5 cm$ travels a distance of $1.2 cm$ along the $x$ -direction in $0.3 sec$ . The crest P is at $x = 0$ at $t = 0 sec$ and maximum displacement of the wave is $2 cm$ . Which equation correctly represents this wave?
1. A. $y = 2 cos (0.83 x - 3.35 t) cm$
2. B. $y = 2 sin (0.83 x - 3.5 t) cm$
3. C. $y = 2 cos (0.13 x - 0.5 t) cm$
4. D. $y = 2 cos (3.35 x - 0.83 t) cm$
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Answer: A
Q332025 · 2 Apr 2025 · Shift 2
1. A. $π r, 3 r$
2. B. $2 r, 3 π r$
3. C. $3 π r, 2 r$
4. D. $3 π r, π r$
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Answer: C
Q432025 · 23 Jan 2025 · Shift 2
1. A. $3 P_{0} V_{0}$
2. B. $- 3 P_{0} V_{0}$
3. C. $- 4 P_{0} V_{0}$
4. D. $4 P_{0} V_{0}$
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Answer: B
Q502025 · 22 Jan 2025 · Shift 1· Numerical answer
A particle is projected at an angle of $3 0^{\circ}$ from horizontal at a speed of $60 m/s$ . The height traversed by the particle in the first second is $h_{0}$ and height traversed in the last second, before it reaches the maximum height, is $h_{1}$ . The ratio $h_{0} : h_{1}$ is _________. [Take, $g = 10 m/s^{2}$ ]
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Answer: 5