Practicing Success
Two bodies of mass m and 9m are placed at a distance R. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be (G = gravitational constant ) : |
$-\frac{20Gm}{R}$ $-\frac{8Gm}{R}$ $-\frac{12Gm}{R}$ $-\frac{16Gm}{R}$ |
$-\frac{16Gm}{R}$ |
$\text{Let Gravitational field is zero at a distance x from mass m then } \frac{G.m}{x^2} = \frac{G.9m}{(R-x)^2} \Rightarrow R - x = 3x$ $ \Rightarrow x = \frac{R}{4}$ $\text{potential at this point is } V = \frac{-Gm}{R/4} + \frac{-9Gm}{3R/4} =\frac{-16Gm}{R}$ |