JEE Advanced · PhysicsMedium

$Two spheres of mass M and 4 M are separated by a distance d . At what distance x from the sphere of mass M is the gravitational potential zero?$

A. $d /3$
B. $d /4$
C. $d /5$
D. $2 d /3$

Show correct answer & step-by-step solution

Correct answer: C — $d /5$

Solution

The potential V = - GM / x - G (4 M) / (d - x) = 0 . Solving this equation yields x = d /5 .

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