Gravitation questions with solutions

Showing 1–10 of 285 questions

• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  Satellite A is in a circular orbit of radius R. Satellite B is in a circular orbit of radius 1.03R. The time period of B is greater than that of A by approximately:

  Options

  • Option A

    9%

  • Option B

    4.5%

  • Option C

    3%

  • Option D

    2.5%

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  JEE Mains 2025 24 Jan Morning Shift

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• MCQeasyGravitationSatellites, Orbital Motion & Kepler’s Laws

  Two satellites of masses m and 3m revolve around the Earth in circular orbits of radii r and 3r respectively. The ratio of their orbital speeds is:

  Options

  • Option A

    3 : 1

  • Option B

    1 : 1

  • Option C

    √3 : 1

  • Option D

    9 : 1

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  JEE Mains10 April 2023Shift 1Morning Shift

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• MCQeasyGravitationAcceleration Due to Gravity & Escape Velocity

  Given below are two statements:

  Statement I: Acceleration due to gravity is different at different places on the surface of earth.

  Statement II: Acceleration due to gravity increases as we go down below the earth's surface.

  In the light of the above statements, choose the correct answer from the options given below:

  Options

  • Option A

    Both Statement I and Statement II are true

  • Option B

    Both Statement I and Statement II are false

  • Option C

    Statement I is true but Statement II is false

  • Option D

    Statement I is false but Statement II is true

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  JEE Mains1 February 2023Shift 1Morning Shift

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  A straight rod extends from x = α to x = α + ℓ. Its linear mass density is μ(x) = a + bx². Find the gravitational force exerted by the rod on a point mass m at x = 0.

  

  Options

  • Option A

    Gm[a(1/α - 1/(α+ℓ)) + bℓ]

  • Option B

    Gm[a(1/α + 1/(α+ℓ)) + bℓ]

  • Option C

    Gm[aℓ/(α+ℓ) + bℓ²]

  • Option D

    Gm[a/α² + bℓ]

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  JEE Advanced

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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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• Multi-correctmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A planet is orbiting a star. Suddenly the star's gravitational force vanishes completely. Which statement(s) about the subsequent motion are correct?

  

  Select all that apply

  • Option A

    Newton's first law is obeyed on planet after gravity vanishes.

  • Option B

    Kepler's law of areas is obeyed only till the planet is in gravity of star.

  • Option C

    Kepler's law of areas is obeyed even after gravity vanishes.

  • Option D

    Angular momentum of planet about centre of star is conserved through out its motion.

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  Satellites A and B are orbiting around the earth in orbits of ratio R and 4R respectively. The ratio of their areal velocities is :

  Options

  • Option A

    1 : 2

  • Option B

    1 : 4

  • Option C

    1 : 8

  • Option D

    1 : 16

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• 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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• MCQeasyGravitationSatellites, Orbital Motion & Kepler’s Laws

  Choose the incorrect statement from the following:

  Options

  • Option A

    The linear speed of a planet revolving around the sun remains constant.

  • Option B

    The speed of satellite in a given circular orbit remains constant.

  • Option C

    When a body falls towards earth, the displacement of earth towards the body is negligible.

  • Option D

    For a planet revolving around the sun in an elliptical orbit, the total energy of the planet remains constant.

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  JEE Mains6 April 2023Shift 2Evening Shift

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• Multi-correctmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  Two equal-mass satellites A and B revolve around the same planet in circular orbits with $r_B=4r_A.$ Which statements are correct?

  Select all that apply

  • Option A

    $v_A/v_B=2$

  • Option B

    $T_B/T_A=8$

  • Option C

    |$E_A|/|E_B|=4$

  • Option D

    $L_B/L_A=2$

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  JEE AdvancedIrodov Level

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