Satellites, Orbital Motion & Kepler’s Laws questions with solutions

Showing 1–10 of 102 questions

• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A spacecraft is in a circular orbit close to Earth's surface. The additional speed required to escape Earth's gravity is, for g = 10 m s⁻² and R = 6400 km:

  Options

  • Option A

    7.9(√2-1) km s⁻¹

  • Option B

    7.4(√2-1) km s⁻¹

  • Option C

    11.2(√2-1) km s⁻¹

  • Option D

    8(√2-1) km s⁻¹

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  JEE Mains11 April 2023Shift 2Evening Shift

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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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  JEE MainsAdvanced

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• NumericmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A binary star has period T = 2 Earth years and component separation L = 4 astronomical units. If M₁ = Mₛ, where Mₛ is the Sun's mass, find M₂/(5Mₛ).

  Your answer

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  JEE Mains

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

  For a satellite of mass m in a circular orbit of radius r around mass M, which statements are correct?

  Select all that apply

  • Option A

    K=GMm/(2r)

  • Option B

    U=-GMm/r

  • Option C

    E=-GMm/(2r)

  • Option D

    Energy needed to escape with zero speed at infinity is GMm/r

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  JEE AdvancedIrodov Level

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• MCQeasyGravitationSatellites, Orbital Motion & Kepler’s Laws

  A planet takes 200 days to complete one revolution around the Sun. If the distance of the planet from Sun is reduced to one fourth of the original distance, how many days will it take to complete one revolution ?

  Options

  • Option A

    25

  • Option B

    50

  • Option C

    100

  • Option D

    20

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  JEE Mains 2024 29 Jan Evening Shift

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A light satellite moves in an elliptical orbit around Earth. Which statement is correct?

  Options

  • Option A

    Its angular momentum changes direction while keeping constant magnitude.

  • Option B

    Its total mechanical energy varies periodically.

  • Option C

    Its linear momentum magnitude stays constant.

  • Option D

    Its acceleration is always directed towards Earth’s centre.

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  AIPMT July 2015NEET

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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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• MCQeasyGravitationSatellites, Orbital Motion & Kepler’s Laws

  The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become:

  Options

  • Option A

    4 hours

  • Option B

    6 hours

  • Option C

    12 hours

  • Option D

    3 hours

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  JEE Mains29 January 2023Shift 2Evening Shift

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A spacecraft of mass m is in a circular orbit of radius 2Rₑ around Earth, whose mass is M and radius is Rₑ. Find the energy required to transfer it to a circular orbit of radius 3Rₑ.

  Options

  • Option A

    GMm/(8Rₑ)

  • Option B

    GMm/(4Rₑ)

  • Option C

    GMm/(24Rₑ)

  • Option D

    GMm/(12Rₑ)

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A satellite revolves at a height equal to Earth's radius R above the surface. Given g = π² m s⁻² at Earth's surface. Its time period is:

  Options

  • Option A

    √(32R) s

  • Option B

    2√R s

  • Option C

    √(2R) s

  • Option D

    √(8R) s

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  JEE Mains10 April 2023Shift 2Evening Shift

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