Two bodies of masses m and 4m are placed at a distance r . The gravitational potential at a point on the line joining them where the gravitational fie - Physics MCQ FIITJEE AIEEE 2011 (Set Q) 2026 | ExamTest.live

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Two bodies of masses m and 4 m are placed at a distance r . The gravitational potential at a point on the line joining them where the gravitational field is zero is:

Solution & Step-by-step Explanation

1. Find the point where the field is zero (neutral point): \frac{G m}{x ^{2}} = \frac{G ( 4 m )}{( r - x ) ^{2}} ⟹ \frac{1}{x} = \frac{2}{r - x} ⟹ r - x = 2 x ⟹ x = r /3 The distance from m is r /3 and from 4 m is 2 r /3 .2. Calculate gravitational potential V at this point: V = - \frac{G m}{r /3} - \frac{G ( 4 m )}{2 r /3} = - \frac{3 G m}{r} - \frac{6 G m}{r} = - \frac{9 G m}{r}

Try it yourself before checking the explanation above.

Two bodies of masses m and 4 m are placed at a distance r . The gravitational potential at a point on the line joining them where the gravitational field is zero is:

- \frac{4 G m}{r}

- \frac{6 G m}{r}

- \frac{9 G m}{r}

zero

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