Work, Energy & Power · JEE Main previous year questions

2025 11 questions

1. Q462025 · 8 Apr 2025 · Shift 2· Numerical answer

   A sample of a liquid is kept at $1\mathrm{atm}$. It is compressed to $5\mathrm{atm}$ which leads to a change of volume of $0.8{\mathrm{cm}}^3$. If the bulk modulus of the liquid is $2\mathrm{GPa}$, the initial volume of the liquid was $\underline{}$ litre. (Take $1\mathrm{atm}=10^5\mathrm{Pa}$)

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   Answer: 4

2. Q402025 · 4 Apr 2025 · Shift 1

   Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R Assertion A : The kinetic energy needed to project a body of mass $m$ from earth surface to infinity is $\frac{1}{2}\mathrm{mgR}$, where R is the radius of earth. Reason R : The maximum potential energy of a body is zero when it is projected to infinity from earth surface. In the light of the above statements, choose the correct answer from the options given below

   1. A.A is false but R is true
   2. B.Both A and R are true and R is the correct explanation of A
   3. C.A is true but R is false
   4. D.Both A and R are true but R is NOT the correct explanation of A
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   Answer: A

3. Q392025 · 3 Apr 2025 · Shift 1

   A particle is released from height $S$ above the surface of the earth. At certain height its kinetic energy is three times its potential energy. The height from the surface of the earth and the speed of the particle at that instant are respectively.

   1. A.$\frac{S}{4},\frac{3gS}{2}$
   2. B.$\frac{S}{2},\frac{3gS}{2}$
   3. C.$\frac{S}{4},\sqrt{\frac{3gS}{2}}$
   4. D.$\frac{S}{2},\sqrt{\frac{3gS}{2}}$
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   Answer: C

4. Q262025 · 3 Apr 2025 · Shift 2

   Two cylindrical vessels of equal cross sectional area of $2{\mathrm{m}}^2$ contain water upto heights $10\mathrm{m}$ and $6\mathrm{m}$, respectively. If the vessels are connected at their bottom then the work done by the force of gravity is (Density of water is $10^3{kg/m}^3$ and $g=10{m/s}^2$)

   1. A.$1\times 10^5\mathrm{J}$
   2. B.$4\times 10^4\mathrm{J}$
   3. C.$8\times 10^4\mathrm{J}$
   4. D.$6\times 10^4\mathrm{J}$
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   Answer: C

5. Q292025 · 3 Apr 2025 · Shift 2
   
   1. A.$0.3\mathrm{m}$
   2. B.$0.1\mathrm{m}$
   3. C.$0.4\mathrm{m}$
   4. D.$0.2\mathrm{m}$
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   Answer: B

6. Q312025 · 29 Jan 2025 · Shift 2

   A sand dropper drops sand of mass $m(t)$ on a conveyer belt at a rate proportional to the square root of speed (v) of the belt, i.e., $\frac{\mathrm{dm}}{\mathrm{dt}}\propto \sqrt{v}$. If P is the power delivered to run the belt at constant speed then which of the following relationship is true?

   1. A.$\mathrm{P}\propto \sqrt{\mathrm{v}}$
   2. B.$\mathrm{P}\propto \mathrm{v}$
   3. C.$P^2\propto v^3$
   4. D.$P^2\propto v^5$
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   Answer: D

7. Q322025 · 28 Jan 2025 · Shift 1

   Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason $\mathbf{R}$ Assertion A: In a central force field, the work done is independent of the path chosen. Reason R: Every force encountered in mechanics does not have an associated potential energy. In the light of the above statements, choose the most appropriate answer from the options given below

   1. A.$\mathbf{A}$ is false but $\mathbf{R}$ is true
   2. B.Both $\mathbf{A}$ and $\mathbf{R}$ are true but $\mathbf{R}$ is NOT the correct explanation of $\mathbf{A}$
   3. C.$\mathbf{A}$ is true but $\mathbf{R}$ is false
   4. D.Both $\mathbf{A}$ and $\mathbf{R}$ are true and $\mathbf{R}$ is the correct explanation of $\mathbf{A}$
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   Answer: B

8. Q362025 · 24 Jan 2025 · Shift 1

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

   1. A.$15N/{\mathrm{m}}^2$
   2. B.$10N/{\mathrm{m}}^2$
   3. C.$12N/{\mathrm{m}}^2$
   4. D.$8N/{\mathrm{m}}^2$
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   Answer: C

9. Q422025 · 24 Jan 2025 · Shift 1

   The amount of work done to break a big water drop of radius ' $R$ ' into $27$ small drops of equal radius is $10\mathrm{J}$ . The work done required to break the same big drop into $64$ small drops of equal radius will be

   1. A.$20\mathrm{J}$
   2. B.$10\mathrm{J}$
   3. C.$5\mathrm{J}$
   4. D.$15\mathrm{J}$
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   Answer: D

10. Q452025 · 24 Jan 2025 · Shift 2
    
    1. A.
    2. B.
    3. C.
    4. D.
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    Answer: D

11. Q332025 · 23 Jan 2025 · Shift 2

    A ball having kinetic energy $\mathrm{KE}$, is projected at an angle of $60^{\circ }$ from the horizontal. What will be the kinetic energy of ball at the highest point of its flight?

    1. A.$\frac{(\mathrm{KE})}{2}$
    2. B.$\frac{(\mathrm{KE})}{8}$
    3. C.$\frac{(\mathrm{KE})}{4}$
    4. D.$\frac{(\mathrm{KE})}{16}$
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    Answer: C