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

Showing 1–10 of 102 questions

• 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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• NumericmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  Two stars of masses 3Mₛ and 6Mₛ are separated by 9R, where R is the mean Earth-Sun distance and Mₛ is the Sun's mass. They orbit their common centre of mass with period nT, where T is Earth's orbital period. Find n.

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  JEE MainsAdvanced

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  The figure shows the variation of energy with the orbit radius of a body in circular planetary motion. Find the correct statement about the curvₑ A, B and C

  

  Options

  • Option A

    A shows the kinetic energy, B the total energy and C the potential energy of the system.

  • Option B

    C shows the total energy, B the kinetic energy and A the potential energy of the system.

  • Option C

    C and A are kinetic and potential energies respectively and B is the total energy of the system.

  • Option D

    A and B are kinetic and potential energies and C is the total energy of the system.

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  JEE MainsAdvanced

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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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• NumericmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  An elliptical satellite orbit has perigee R and apogee 7R. A circular orbit around the same planet has radius 2R. If $T_e/T_c=2√n,$ find n.

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  JEE AdvancedIrodov Level

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  Kepler’s third law is written T²=Kr³ for a planet of mass m orbiting a Sun of mass M. Newton’s gravitational force is F=GMm/r². What relation connects K and G?

  Options

  • Option A

    GK=4π²

  • Option B

    GMK=4π²

  • Option C

    K=G

  • Option D

    K=1/G

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  AIPMT Cancelled 2015NEET

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  Initially a satellite of 100 kg is in a circular orbit of radius 1.5Rₑ. This satellite can be moved to a circular orbit of radius 3Rₑ by supplying α × 10⁶J of energy. The value of α is ___________.

  (Take Radius of Earth Rₑ = 6 × 10⁶ m and g = 10 m·s⁻²)

  Options

  • Option A

    150

  • Option B

    500

  • Option C

    100

  • Option D

    1000

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  JEE Mains 202621 January Morning Shift

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

  A satellite moves in an elliptical orbit around a planet. Which statements are correct?

  Select all that apply

  • Option A

    Areal velocity is constant

  • Option B

    Speed is maximum at perigee

  • Option C

    Total mechanical energy is constant

  • Option D

    Angular speed about the planet is constant

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  JEE AdvancedIrodov Level

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A satellite of mass m, initially at rest on the earth, is launched into a circular orbit at a height equal to the radius of the earth. The minimum energy required is

  Options

  • Option A

    (√$\frac{3}{4}$)mgR

  • Option B

    (1/2)mgR

  • Option C

    (1/4)mgR

  • Option D

    ($\frac{3}{4}$)mgR

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  JEE MainsAdvanced

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth center is increased by eight times to its initial value, then the new angular momentum will be-

  Options

  • Option A

    8L

  • Option B

    3L

  • Option C

    4L

  • Option D

    9L

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  JEE Mains8 April 2023Shift 2Evening Shift

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