Q.

Let A and B be the points respectively above and below the earth's surface each at a distance equal to half the radius of the earth. If the acceleration due to gravity at these points be gA and gA respectively, then gB : gA  is :

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a

1:1

b

9:8

c

8:9

d

zero

answer is B.

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Detailed Solution

gA=GM(R+R/2)2=4GM9R2=49ggB=g1−dR here d=R2;gB=g2 ∴gBgA=98
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