Gravitation · JEE Main previous year questions

2014 1 question

1. Q362014 · 6 Apr 2014 · Shift 1

   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. A.$\sqrt{\frac{GM}{R}}$
   2. B.$\sqrt{2\sqrt{2}\frac{GM}{R}}$
   3. C.$\sqrt{\frac{GM}{R}\left(1+2\sqrt{2}\right)}$
   4. D.$\frac{1}{2}\sqrt{\frac{GM}{R}\left(1+2\sqrt{2}\right)}$
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   Answer: D