Four particles, each of mass $M$ and equidistant from each other, move along a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each particle is:

Question:

Four particles, each of mass $M$ and equidistant from each other, move along a circle of radius $R$ under the action of their mutual gravitational attraction. The speed of each particle is:

1. $\sqrt{\frac{\mathrm{GM}}{\mathrm{R}}}$

2. $\sqrt{2 \sqrt{2} \frac{G M}{R}}$

3. $\sqrt{\frac{\mathrm{GM}}{\mathrm{R}}(1+2 \sqrt{2})}$

4. $\frac{1}{2} \sqrt{\frac{\mathrm{GM}}{\mathrm{R}}(1+2 \sqrt{2})}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Gravitation chapter.

JEE Main Previous Year 2014

Correct Option: 4

Solution: