Gravitation · JEE Main previous year questions

2026 11 questions

1. Q292026 · 6 Apr 2026 · Shift 1
   
   1. A.0.33
   2. B.0.67
   3. C.1
   4. D.0.5
   Show answer

   Answer: B

2. Q272026 · 6 Apr 2026 · Shift 2

   Match List - I with List - II. $$\begin{array}{llll}\text{List - I}& & \text{List - II}& \\ \text{A.}& \text{Boltzmann constant}& \text{I.}& [{\mathrm{M}}^{-1}{\mathrm{L}}^3{\mathrm{T}}^{-2}]\\ \text{B.}& \text{Stefan’s constant}& \text{II.}& [\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-1}]\\ \text{C.}& \text{Planck’s constant}& \text{III.}& [\mathrm{M}{\mathrm{L}}^2{\mathrm{T}}^{-2}{\mathrm{K}}^{-1}]\\ \text{D.}& \text{Gravitational constant}& \text{IV.}& [\mathrm{M}{\mathrm{L}}^0{\mathrm{T}}^{-3}{\mathrm{K}}^{-4}]\end{array}$$ Choose the correct answer from the options given below :

   1. A.A-I, B-II, C-III, D-IV
   2. B.A-IV, B-III, C-II, D-I
   3. C.A-III, B-IV, C-II, D-I
   4. D.A-II, B-I, C-IV, D-III
   Show answer

   Answer: C

3. Q262026 · 5 Apr 2026 · Shift 2
   
   1. A.A-II, B-IV, C-I, D-III
   2. B.A-IV, B-II, C-I, D-III
   3. C.A-IV, B-I, C-II, D-III
   4. D.A-III, B-I, C-II, D-IV
   Show answer

   Answer: B

4. Q302026 · 2 Apr 2026 · Shift 1

   A planet $\left({\mathrm{P}}_1\right)$ is moving around the star of mass $2\mathrm{M}$ in the orbit of radius $R$. Another planet $\left({\mathrm{P}}_2\right)$ is moving around another star of mass $4\mathrm{M}$ in a orbit of radius $2R$. Ratio of time periods of revolution of ${\mathrm{P}}_2$ and ${\mathrm{P}}_1$ is ____.

   1. A.$\frac{1}{2}$
   2. B.2
   3. C.4
   4. D.$\frac{1}{4}$
   Show answer

   Answer: B

5. Q392026 · 24 Jan 2026 · Shift 1

   Three masses $200\mathrm{kg}$, $300\mathrm{kg}$ and $400\mathrm{kg}$ are placed at the vertices of an equilateral triangle with sides $20\mathrm{m}$ . They are rearranged on the vertices of a bigger triangle of side $25\mathrm{m}$ and with the same centre. The work done in this process ____ J. (Gravitational constant $\mathrm{G}=6.7\times 10^{-11}\mathrm{N}{\mathrm{m}}^2/k{\mathrm{g}}^2$ )

   1. A.$4.77\times 10^{-7}$
   2. B.$1.74\times 10^{-7}$
   3. C.$9.86\times 10^{-6}$
   4. D.$2.85\times 10^{-7}$
   Show answer

   Answer: B

6. Q272026 · 23 Jan 2026 · Shift 2

   A block is sliding down with constant velocity on an inclined plane of slope $\theta$ and at an instant $t=0$ this block is given an upward momentum so that it starts moving up on the inclined surface with velocity $u$. The distance $(S)$ travelled by the block before its velocity become zero, is _____. ($g=$ gravitational acceleration)

   1. A.$\frac{2u^2}{g\cos \theta }$
   2. B.$\frac{u^2}{\sqrt{2}g\cos \theta }$
   3. C.$\frac{u^2}{4g\sin \theta }$
   4. D.$\frac{u^2}{2g\cos \theta }$
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   Answer: C

7. Q372026 · 22 Jan 2026 · Shift 1

   The escape velocity from a spherical planet $A$ is $10km/s$. The escape velocity from another planet $B$ whose density and radius are $10\%$ of those of planet $A$, is ____ $m/s$.

   1. A.1000
   2. B.$200\sqrt{5}$
   3. C.$1000\sqrt{2}$
   4. D.$100\sqrt{10}$
   Show answer

   Answer: D

8. Q442026 · 22 Jan 2026 · Shift 1
   
   1. A.2
   2. B.$2\sqrt{5}$
   3. C.1
   4. D.3
   Show answer

   Answer: A

9. Q372026 · 21 Jan 2026 · Shift 1

   Initially a satellite of 100 kg is in a circular orbit of radius $1.5{\mathrm{R}}_{\mathrm{E}}$. This satellite can be moved to a circular orbit of radius $3R_E$ by supplying $\alpha \times 10^6\mathrm{J}$ of energy. The value of $\alpha$ is ____. (Take Radius of Earth $R_E=6\times 10^6\mathrm{m}$ and $\mathrm{g}=10m/{\mathrm{s}}^2$)

   1. A.500
   2. B.1000
   3. C.100
   4. D.150
   Show answer

   Answer: B

10. Q262026 · 21 Jan 2026 · Shift 2

    A spherical body of radius $r$ and density $\sigma$ falls freely through a viscous liquid having density $\rho$ and viscosity $\eta$ and attains a terminal velocity $v_0$. Estimated maximum error in the quantity $\eta$ is : (Ignore errors associated with $\sigma ,\rho$ and $g$, gravitational acceleration)

    1. A.$2\left[\frac{\Delta r}{r}-\frac{\Delta v_0}{v_0}\right]$
    2. B.$2\left[\frac{\Delta r}{r}+\frac{\Delta v_0}{v_0}\right]$
    3. C.$\frac{2\Delta r}{r}+\frac{\Delta v_0}{v_0}$
    4. D.$2\frac{\Delta r}{r}-\frac{\Delta v_0}{v_0}$
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    Answer: C

11. Q412026 · 21 Jan 2026 · Shift 2

    Consider two identical metallic spheres of radius $R$ each having charge $Q$ and mass $m$. Their centers have an initial separation of $4R$. Both the spheres are given an initial speed of $u$ towards each other. The minimum value of $u$, so that they can just touch each other is: (Take $k=\frac{1}{4\pi {ϵ}_0}$ and assume $k{Q}^2>G{m}^2$ where $G$ is the Gravitational constant)

    1. A.$\sqrt{\frac{k{Q}^2}{4mR}\left(1+\frac{G{m}^2}{k{Q}^2}\right)}$
    2. B.$\sqrt{\frac{k{Q}^2}{2mR}\left(1-\frac{G{m}^2}{2k{Q}^2}\right)}$
    3. C.$\sqrt{\frac{k{Q}^2}{2mR}\left(1-\frac{G{m}^2}{k{Q}^2}\right)}$
    4. D.$\sqrt{\frac{k{Q}^2}{4mR}\left(1-\frac{G{m}^2}{k{Q}^2}\right)}$
    Show answer

    Answer: D