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Two planets of mass M and 16M of radius ...


Two planets of mass `M` and `16M` of radius `a` and `2a` respectively, are at distance `10a`. Find minimum speed of a particle of mass m at surface of smaller planet so that it can reached from smaller planet to larger planet.

A

`sqrt((5/9) (GM)/a)`

B

`sqrt((4/9) (GM)/a)`

C

`sqrt((3/9) (GM)/a)`

D

`sqrt((2/9) (GM)/a)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

    A
    `(5GmM)/(6R)`
    B
    `(2GmM)/(3R)`
    C
    `(GmM)/(2R)`
    D
    `(GmM)/(2R)`

  • What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?

    A
    `( 5 G m M )/( 6 R)`
    B
    `( 2 G m M )/( 3 R)`
    C
    `( G m M )/( 2R)`
    D
    `( G m M )/( 3 R)`

  • What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 3R ?

    A
    `(7"GmM")/(8R)`
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    D
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