Gravitation, Gravitational Field & Potential Energy questions with solutions

Showing 1–10 of 71 questions

• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  A uniform solid sphere of mass M and radius R has a narrow diametric tunnel. A particle released from rest at the surface reaches the centre with speed:

  Options

  • Option A

    √(GM/R)

  • Option B

    √(2GM/R)

  • Option C

    √(GM/(2R))

  • Option D

    √(3GM/(2R))

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  JEE AdvancedIrodov Level

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  Which graph correctly shows how the magnitude of Earth’s gravitational field intensity E varies with distance r from Earth’s centre (uniform density approximation)?

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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  AIPMT 2014NEET

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  A particle is released from a height S above the surface of the Earth. At a 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:

  Options

  • Option A

    S/2, 3gS/2

  • Option B

    S/4, 3gS/2

  • Option C

    S/4, √(3gS/2)

  • Option D

    S/2, √(3gS/2)

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  JEE Mains 2025 3 April Morning Shift

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  Four particles, each of mass M, are equally spaced on a circle of radius R and move under their mutual gravitational attraction. Find the speed of each particle.

  Options

  • Option A

    $\frac{GM}{R}$

  • Option B

    $\sqrt{\left\lbrack\frac{2\sqrt2GM}{R}\right\rbrack}$

  • Option C

    $\sqrt{\left\lbrack\frac{GM}{R}\left(2\sqrt2+1\right)\right\rbrack}$

  • Option D

    $\sqrt{\left\lbrack\frac{GM}{R}\frac{\left(2\sqrt2+1\right)}{4}\right\rbrack}$

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  JEE MainsAdvanced

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  A solid sphere of mass M and radius R exerts gravitational force F on a point mass outside it. A concentric spherical mass M/7 is removed from the sphere. What is the new gravitational force?

  Options

  • Option A

    F/7

  • Option B

    6F/7

  • Option C

    5F/7

  • Option D

    3F/7

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  JEE Main 2025 (Online) 22 jan morning Shift

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• NumericeasyGravitationGravitation, Gravitational Field & Potential Energy

  Four equal masses m are placed at the corners of a square of side a. If the magnitude of gravitational potential at the centre is n√2 Gm/a, find n.

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  JEE AdvancedIrodov Level

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• MCQeasyGravitationGravitation, Gravitational Field & Potential Energy

  A body of mass 60 g experiences a gravitational force of 3.0 N at a particular point. What is the gravitational-field intensity there?

  Options

  • Option A

    50 N kg⁻¹

  • Option B

    20 N kg⁻¹

  • Option C

    180 N kg⁻¹

  • Option D

    0.05 N kg⁻¹

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  NEET 2022

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• MCQeasyGravitationGravitation, Gravitational Field & Potential Energy

  What is the mass of Earth expressed in terms of surface gravity g, Earth radius R and gravitational constant G?

  Options

  • Option A

    GR/g

  • Option B

    gR²/G

  • Option C

    g²R/G

  • Option D

    Gg/R

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  AIPMT 1996NEET

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• MCQeasyGravitationGravitation, Gravitational Field & Potential Energy

  Two spheres of masses m and M are in air with gravitational force F between them. The space around the masses is filled with a liquid of specific gravity 3. What is the new gravitational force?

  Options

  • Option A

    3F

  • Option B

    F

  • Option C

    F/3

  • Option D

    F/9

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  AIPMT 2003NEET

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  What relation connects Earth’s mean density ρ and its surface gravity g, given Earth’s radius R and G?

  Options

  • Option A

    ρ=3g/(4πGR)

  • Option B

    ρ=3g/(4πGR³)

  • Option C

    ρ=4πgR²/(3G)

  • Option D

    ρ=4πgR³/(3G)

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  AIPMT 1995NEET

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