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Question

A planet has mass 110 of that of earth, while radius is 13 that of earth. If a person can throw a stone on earth surface to a height of 90m, then he will be able to throw the stone on that planet to a height


A

90 m

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B

40 m

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C

100 m

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D

45 m

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Solution

The correct option is C

100 m


Acceleration due to gravity g=GMR2 gplanetgearth=MplanetMearth(RearthRplanet)2=110×(31)2=910

If a stone is thrown with velocity u from the surface of the planet then maximum height

H=u22gHplanetHearth=gearthgplanetHplanet=109×Hearth=109×90=100 metre


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