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At what distance from the centre of the moon is the point at which the strength of the resultant field of earth's and moon's gravitational fields equal to zero? The earth's mass is 81 times that of moon and the distance between centres of these planets is 60 R where R is the radius of earth :

a
6R
b
4R
c
3R
d
5R

detailed solution

Correct option is A

GMx2=G(81M)(60R−x)2⇒x=6R

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Dependence of intensity of gravitational field (E) of earth with distance ( r) from center of earth is correctly represented by : 


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