Acceleration Due to Gravity & Escape Velocity questions with solutions

Showing 1–10 of 112 questions

• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  A spherical gaseous cloud has mass density ρ(r). It consists of particles of equal mass m moving in circular orbits about the common centre, all with the same kinetic energy K. If ρ(r) is time-independent, find the particle number density n(r) = ρ(r)/m. G is the gravitational constant.

  Options

  • Option A

    K/(πr²m²G)

  • Option B

    K/(6πr²m²G)

  • Option C

    3K/(πr²m²G)

  • Option D

    K/(2πr²m²G)

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  JEE Advanced 2019

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• MCQeasyGravitationAcceleration Due to Gravity & Escape Velocity

  A person moves from a point 16 km below the Earth's surface to a point 16 km above the Earth's surface. Taking the Earth's radius as 6400 km and using the usual first-order approximations for small height and small depth, what is the approximate magnitude of the percentage change in the acceleration due to gravity?

  Options

  • Option A

    0.12%

  • Option B

    0.25%

  • Option C

    0.50%

  • Option D

    0.75%

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  JEE Mains 2026 5 April Morning Shift

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  Given below are two statements: Statement I: Rotation of the Earth affects the value of acceleration due to gravity g.

  Statement II: The effect of Earth's rotation on g is minimum at the equator and maximum at the poles. Choose the correct answer.

  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 false but Statement II is true

  • Option D

    Statement I is true but Statement II is false

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  JEE Mains10 April 2023Shift 2Evening Shift

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  A particle is projected vertically upward from Earth's surface with speed equal to half the escape speed. Neglect atmosphere. Its maximum distance from Earth's centre is:

  Options

  • Option A

    4R/3

  • Option B

    2R

  • Option C

    3R/2

  • Option D

    5R/4

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  JEE AdvancedIrodov Level

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• Multi-correctmediumGravitationAcceleration Due to Gravity & Escape Velocity

  Two planets A and B satisfy $g_A=2g_B$ and $v_eA=v_eB.$ Which statements are correct?

  Select all that apply

  • Option A

    $R_B=2R_A$

  • Option B

    $M_B=2M_A$

  • Option C

    Their surface gravitational potentials are equal

  • Option D

    Their mean densities are equal

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  JEE AdvancedIrodov Level

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  Starting from Earth’s centre (radius R), which graph correctly depicts the variation of gravitational acceleration g with distance r?

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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  NEET Phase-II 2016

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  If R is the radius of the earth and the acceleration due to gravity on the surface of earth is g = π² m s⁻², then the length of the seconds pendulum at a height h = 2R from the surface of earth will be:

  Options

  • Option A

    2/9 m

  • Option B

    1/9 m

  • Option C

    4/9 m

  • Option D

    8/9 m

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  JEE Mains 2024 01 Feb Morning Shift

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  Assume that the earth is a solid sphere of uniform density and a tunnel is dug along its diameter throughout the earth. It is found that when a particle is released in this tunnel, it executes a simple harmonic motion. The mass of the particle is 100 g. The time period of the motion of the particle will be approximately: (Take g = 10 m s⁻², radius of earth = 6400 km)

  Options

  • Option A

    24 hours

  • Option B

    1 hour 24 minutes

  • Option C

    1 hour 40 minutes

  • Option D

    12 hours

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  JEE Mains25 January 2023Morning Shift

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  Let vₑ and vₚ be the escape speeds from Earth and from another planet whose radius is twice Earth's radius and whose mean density is the same as Earth's. Then:

  Options

  • Option A

    vₑ = vₚ

  • Option B

    vₑ = vₚ/2

  • Option C

    vₑ = 2vₚ

  • Option D

    vₑ = vₚ/4

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  JEE MainsAdvanced

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• NumericmediumGravitationAcceleration Due to Gravity & Escape Velocity

  The surface gravitational acceleration of a planet is g/11, where g is Earth's surface gravitational acceleration. The planet's mean density is one-fourth of Earth's. If Earth's escape speed is 11 km s⁻¹, find the planet's escape speed in km s⁻¹.

  Your answer

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  JEE MainsAdvanced

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