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Work, Energy and Power

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 6 times: 2021 Paper 15, 1 Feb 2023, 11 Apr 2023, 15 Apr 2023, 9 Apr 2024, 24 Jan 2025. This one: 24 Jan 2025 See all 6 of this type

    19
    A force F=α+βx2F = \alpha + \beta x^{2} acts on an object in the x -direction. The work done by the force is 5 J when the object is displaced by 1 m . If the constant, α=1 N\alpha = 1\text{ }N then β\beta will be

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  2. Question 2

    Asked 5 times: 2021 Paper 9, 2021 Paper 12, 2021 Paper 17*, 30 Jan 2023*, 5 Apr 2024 (* = numbers or wording changed that year) See all 5 times it was asked

    103
    A body is moving unidirectionally under the influence of a constant power source. Its displacement in time tt is proportional to:

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  3. Question 3

    This type asked 5 times: 26 Jul 2022, 13 Apr 2023, 27 Jan 2024, 6 Apr 2024, 8 Apr 2024. This one: 8 Apr 2024 See all 5 of this type

    1
    Three bodies A, B and CC have equal kinetic energies and their masses are 400 g,1.2 kg400\text{ }g,1.2\text{ }kg and 1.6 kg1.6\text{ }kg respectively. The ratio of their linear momenta is:

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  4. Question 4

    This type asked 5 times: 2021 Paper 14, 26 Jun 2022, 25 Jul 2022, 31 Jan 2023, 30 Jan 2024. This one: 30 Jan 2024 See all 5 of this type

    17
    A spherical body of mass 100 g100\text{ }g is dropped from a height of 10 m10\text{ }m from the ground. After hitting the ground, the body rebounds to a height of 5 m5\text{ }m. The impulse of force imparted by the ground to the body is given by : (given g=9.8 m/s2g = 9.8\text{ }m/s^{2} )

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  5. Question 5

    This type asked 4 times: 29 Jun 2022, 25 Jul 2022, 9 Apr 2024, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 4 of this type

    4
    A body of mass 1 kg moves along a straight line with a velocity v=2x2v= 2x^{2}. The work done by the body during displacement from x=0x = 0 to 5 m is ____\_\_\_\_ J.

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  6. Question 6

    This type asked 4 times: 24 Jan 2023, 31 Jan 2024, 7 Apr 2025, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 4 of this type

    24
    A body of mass 2 kg begins to move under the influence of time dependent force F→=\overrightarrow{F} = (2ti^+6t2j^)N\left( 2t\widehat{i} + 6t^{2}\widehat{j} \right)N, where i^\widehat{i} and j^\widehat{j} are unit vectors along xx and y -axis respectively. The power produced by the force at t=2 st = 2\text{ }s is ____\_\_\_\_ W.

  7. Question 7

    This type asked 4 times: 2021 Paper 10, 2021 Paper 25, 27 Jun 2022, 25 Jan 2023. This one: 25 Jan 2023 See all 4 of this type

    115
    A body of mass 1 kg1\text{ }kg collides head on elastically with a stationary body of mass 3 kg3\text{ }kg. After collision, the smaller body reverses its direction of motion and moves with a speed of 2 ms\frac{2\text{ }m}{s}. The initial speed of the smaller body before collision is ____\_\_\_\_ ms−1ms^{- 1}.

  8. Question 8

    This type asked 3 times: 1 Feb 2023, 22 Jan 2025, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 3 of this type

    21
    A 1 kg block subjected to two simultaneous forces (2i^+3j^+4k^)N(2\widehat{i} + 3\widehat{j} + 4\widehat{k})N and (3i^−j^−2k^)N(3\widehat{i} - \widehat{j} - 2\widehat{k})N is moved a distance of 25 m along (3i^−4j^)(3\widehat{i} - 4\widehat{j}) direction. The work done in this process is ____\_\_\_\_ J.

  9. Question 9

    This type asked 3 times: 30 Jan 2023, 29 Jan 2025, 23 Jan 2026 S1. This one: 23 Jan 2026 S1 See all 3 of this type

    2
    A small bob A of mass m is attached to a massless rigid rod of length 1 m pivoted at point P and kept at an angle of 60∘60^{\circ} with vertical as shown in figure. At distance of 1 m below point P, an identical bob B is kept at rest on a smooth horizontal surface that extends to a circular track of radius R as shown in figure. If bob B just manages to complete the circular path of radius R upto a point Q after being hit elastically by bob A, then radius R is ____\_\_\_\_ m.

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  10. Question 10

    This type asked 3 times: 28 Jun 2022, 10 Apr 2023, 23 Jan 2026 S1. This one: 23 Jan 2026 S1 See all 3 of this type

    18
    In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg , moving in opposite directions with speeds of 10 m/s10\text{ }m/s and 30 m/s30\text{ }m/s, respectively, strike each other and stick together. The rise in temperature (in  ∘C\ ^{\circ}C), if all the heat produced during the collision is retained by these spheres, is : (specific heat of sphere material 31cal/kg. ∘C31cal/kg.\ ^{\circ}C and 1cal=4.2 J1cal = 4.2\text{ }J)

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