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Q.

In figure (a) and (b) shown the mass M is very large and exerts a gravitational force on m1 and m2. Gravitational force between m1 and m2is very small as compared to that of M. Net force Fnet on m1 in accelerating reference frame of m2 is called tidal force. If m1  is to be at rest in reference frame of
m2  an additional force equal to tidal force is to be applied on m1. Mark the correct statement(s) using appropriate approximation:

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a

Tidal force on m1 in figure (a) is given by GMm1xR3

b

Tidal force on m1 in figure (a) is given by 2GMm1xR3

c

Tidal force on m1 in figure (a) is given by GMm1xR3

d

Tidal force on m1 in figure (b) is given by 2GMm1XR3

answer is B.

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Detailed Solution

 In fig. a, Tidal force =GMm1R2GMm1(R+x)2

 In fib. b, Tidal force =GMm1R2sinθ

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