If the mass of moon is M81 , where M is the mass of earth, find the distance of the point, where gravitational field due to earth and moon cancel each other, from the centre of moon. Given that distance between centres of earth and moon is 60 R, where R is the radius of earth.
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a
4 R
b
8 R
c
12 R
d
6 R
answer is D.
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Detailed Solution
Equating gravitational field intensities, GM81r2=GM(60R-r)2Solving above equation, we get60R - r = 9r ⇒ r = 6 R