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Q.

A body on the surface of the earth at latitude 60°  will be under weight lessness state if the angular velocity of rotation of the earth becomes

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a

GMR3

b

4GMR3

c

2GMR3

d

GM2R3

answer is D.

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Detailed Solution

g|=gRw214

weight  g|=0

Rw24=gg|

Rw24=g

w2=4gR=4GMR3

w=4GMR3

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A body on the surface of the earth at latitude 60°  will be under weight lessness state if the angular velocity of rotation of the earth becomes