Two particles of masses m a n d 9 m are separated by a distance r . At a point on the line joining them, the gravitational field is zero. The gravitation potential at that point is ( G = Universal constant of gravitation)

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Correct answer: C. - 16 G m r

For the system described above F = 0 , G m r 1 2 = G ( 9 m) r 2 2 ⇒ r 2 r 1 = 3 r 2 = 3 4 r and r 1 = 1 4 r V = − G m r 1 − G ( 9 m) r 2 V = − G m r 1 − G ( 9 m) r 2 = − 4G m r − 12 G m r = − 16 G m r

Two particles of masses m a n d 9 m are separated by a distance r . At a point on the line joining them, the gravitational field is zero. The gravitation potential at that point is ( G = Universal constant of gravitation)

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