Gravitation questions with solutions

Showing 1–10 of 285 questions

• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A satellite of mass m moves in a circular orbit about Earth with speed v. What is its total mechanical energy?

  Options

  • Option A

    ($\frac{3}{4}$)mv²

  • Option B

    (1/2)mv²

  • Option C

    mv²

  • Option D

    -(1/2)mv²

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  AIPMT 1991NEET

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  A new planet has twice Earth’s mean density but the same surface acceleration due to gravity. If Earth has radius R, the new planet’s radius is:

  Options

  • Option A

    2R

  • Option B

    4R

  • Option C

    R/4

  • Option D

    R/2

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  AIPMT 2004NEET

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  If the radius of the Earth is increased by a factor of 5 while the surface value of g is to remain unchanged, by what factor must its mean density change?

  Options

  • Option A

    1/25

  • Option B

    1/5

  • Option C

    1/√5

  • Option D

    5

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  JEE MainsAdvanced

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A remote-sensing satellite is in a circular orbit 0.25×10⁶ m above Earth’s surface. Given Earth radius 6.38×10⁶ m and g=9.8 m s⁻², find its orbital speed.

  Options

  • Option A

    7.76 km s⁻¹

  • Option B

    8.56 km s⁻¹

  • Option C

    9.13 km s⁻¹

  • Option D

    6.67 km s⁻¹

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  AIPMT July 2015NEET

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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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• 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.

  Your answer

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  JEE AdvancedIrodov Level

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  Assertion (A): The radius vector from the Sun to a planet sweeps out equal areas in equal intervals of time, so the planet's areal velocity is constant. Reason (R): In a central-force field, angular momentum is conserved. Choose the correct answer.

  Options

  • Option A

    Both A and R are correct and R is the correct explanation of A

  • Option B

    Both A and R are correct but R is not the correct explanation of A

  • Option C

    A is correct but R is false

  • Option D

    A is false but R is correct

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  JEE Mains 2025 7 April Evening Shift

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  The distance between the Sun and Earth is R. If it becomes 3R while the Sun's mass remains unchanged, what will be the duration of the year?

  Options

  • Option A

    3 years

  • Option B

    √3 years

  • Option C

    9 years

  • Option D

    3√3 years

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  JEE Mains 2022

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• A/RmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  Evaluate the following statements.

  Assertion

  Assertion (A): A satellite in a larger circular orbit has greater total mechanical energy than the same satellite in a smaller circular orbit.

  Reason

  Reason (R): Circular-orbit energy E=-GMm/(2r) becomes less negative as orbital radius increases.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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  JEE AdvancedIrodov Level

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• MCQeasyGravitationAcceleration Due to Gravity & Escape Velocity

  At what height h above the Earth's surface does the acceleration due to gravity become g / 9, where g is its value at the Earth's surface and R is the Earth's radius?

  Options

  • Option A

    √3 R

  • Option B

    2√2 R

  • Option C

    2R

  • Option D

    4R / 9

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  JEE Mains 2026 4 April Evening Shift

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