Gravitation, Gravitational Field & Potential Energy questions with solutions

Showing 1–10 of 71 questions

• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  If the gravitational field in space is given as -K/r². Taking the reference point to be at r = 2 cm with gravitational potential V = 10 J kg⁻¹, find the gravitational potential at r = 3 cm in SI unit. [K = 6 J cm kg⁻¹]

  Options

  • Option A

    9

  • Option B

    11

  • Option C

    12

  • Option D

    10

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  JEE Mains30 January 2023Shift 1Morning Shift

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  If the gravitational force between two bodies were proportional to 1/R instead of 1/R², how would the orbital speed v of a particle in a circular orbit vary with radius R?

  Options

  • Option A

    R

  • Option B

    R⁰ (independent of R)

  • Option C

    1/R²

  • Option D

    1/R

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  AIPMT 1994AIPMT 1989NEET

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  Two particles of equal mass m move in a circle of radius r under the action of their mutual gravitational attraction. The speed of each particle will be:

  Options

  • Option A

    √(Gm/2r)

  • Option B

    √(4Gm/r)

  • Option C

    √(Gm/r)

  • Option D

    √(Gm/4r)

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  JEE Mains29 January 2023Shift 1Morning Shift

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• Multi-correcteasyGravitationGravitation, Gravitational Field & Potential Energy

  A thin uniform spherical shell has mass M and radius R. A particle is moved from its centre O to a point P on its surface. Which statements are correct?

  Select all that apply

  • Option A

    Gravitational field is zero at every point of the path inside the shell

  • Option B

    Gravitational potential remains constant throughout the path

  • Option C

    Work done by gravitational force is zero

  • Option D

    Potential at the centre is more negative than at the surface

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  JEE AdvancedIrodov Level

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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

  Match list-I with list-II:

  List-I
  (A) Kinetic energy of planet
  (B) Gravitation Potential energy of Sun-planet system.
  (C) Total mechanical energy of planet
  (D) Escape energy at the surface of planet for unit mass object

  List-II (I) -GMm/a (II) GMm/(2a) (III) Gm/r (IV) -GMm/(2a)

  (Where a = radius of planet orbit, r = radius of planet, M = mass of Sun, m = mass of planet)

  Choose the correct answer from the options given below:

  Options

  • Option A

    (A) – II, (B) – I, (C) – IV, (D) – III

  • Option B

    (A) – III, (B) – IV, (C) – I, (D) – II

  • Option C

    (A) – I, (B) – IV, (C) – II, (D) – III

  • Option D

    (A) – I, (B) – II, (C) – III, (D) – IV

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  JEE Mains 2024 05 Apr Morning Shift

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• Multi-correctmediumGravitationGravitation, Gravitational Field & Potential Energy

  For a uniform solid sphere of mass M and radius R, at a point r<R which statements are correct?

  Select all that apply

  • Option A

    g=GMr/R³

  • Option B

    V=-GM(3R²-r²)/(2R³)

  • Option C

    Potential is minimum at the centre

  • Option D

    Field magnitude is maximum at the centre

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  JEE AdvancedIrodov Level

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• MCQeasyGravitationGravitation, Gravitational Field & Potential Energy

  If V is the gravitational potential at the surface of a uniform solid sphere, the potential at its centre is:

  Options

  • Option A

    4V/3

  • Option B

    V

  • Option C

    3V/2

  • Option D

    V/2

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  JEE Mains11 April 2023Shift 2Evening Shift

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• MCQeasyGravitationGravitation, Gravitational Field & Potential Energy

  Two astronauts float freely in space after losing contact with their spacecraft. What will happen to them due to their mutual gravitational attraction?

  Options

  • Option A

    Remain at the same distance from each other.

  • Option B

    Move towards each other.

  • Option C

    Move away from each other.

  • Option D

    Become stationary.

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  NEET 2017

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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. The speed of each particle is:

  Options

  • Option A

    √[(GM/R)(1 + 2√2)]

  • Option B

    (1/2)√[(GM/R)(1 + 2√2)]

  • Option C

    √(GM/R)

  • Option D

    √[(GM/R)(2√2 + 1)/4]

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  JEE Mains 2014

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