1.

A stone weighs 100N on the surface of the Earth. The ratio of its weight at a height of half the radius of the Earth to a depth of half the radius of the earth will be approximately

Answer»

3.6
2.2
1.8
0.9

Solution :`(W_(h))/(W)=(mg.)/(mg)=(G.)/(g)`
`=(R^(2))/(((3R)/(2))^(2))=(4)/(9) rArr W_(h)=100xx(4)/(9)`
`(W_(d))/(W)=(g.)/(g)=1-(d)/(R )=1-(1)/(2)=(1)/(2) rArr W_(d)=100xx(1)/(2)`
`therefore (W_(h))/(W_(d))=((100xx4)/(9))/(100//2)=(8)/(9)=0.9`
So CORRECT choice is (d).


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