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Q.

Assuming the earth to be a sphere of uniform density, the acceleration due to gravity inside the earth at a distance of r from the centre is proportional to 

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a

r2

b

r

c

r−2

d

r−1

answer is A.

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Detailed Solution

Acceleration due to gravity at depth d from the surface of the earth or at a distance r from the centre ‘O’ of the earth g′=43πρGr

 Hence g′∝r

 

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Assuming the earth to be a sphere of uniform density, the acceleration due to gravity inside the earth at a distance of r from the centre is proportional to