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There is crater of depth R//100 on the s...

There is crater of depth `R//100` on the surface of the moon (raduis `R`). A projectile is fired vertically upwards from the crater with a velocity, which is equal to the escape velocity `v` from the surface of the moon. The maximum height attained by the projectile, is :

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Knowledge Check

  • A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to 1/3rd the escape velocity for the planet. The maximum height attained by the body is

    A
    `R//2`
    B
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    A
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    B
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    C
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    D
    `R//4`

  • The escape velocity of a body from the surface of the earth is equal to

    A
    3 times critical velocity of a body close to surface of the earth
    B
    `sqrt2` times critical velocity of a body orbiting very close to surface of the earth.
    C
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