Q.

The distances from the centre of the Earth, where the weight of a body is zero and one-fourth that of the weight of the body on the surface of the Earth are (assume R is the radius of the earth)

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a

0,R4

b

0,3R4

c

R4,0

d

3R4,0

answer is A.

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Detailed Solution

(i) The weight of the body at the centre of the earth is equal to zero becausegcentre =g1−dR=g1−RR=0g1g=1−dR=14⇒d=3R4So from the centre, d′=R4
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The distances from the centre of the Earth, where the weight of a body is zero and one-fourth that of the weight of the body on the surface of the Earth are (assume R is the radius of the earth)