Question

Four identical particles of mass are located at the corners of a square of side . What should be their speed if each of them revolves under the influence of other's gravitational field in a circular orbit circumscribing the square?

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A

B

C

D

Hard
Solution
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Correct option is C)




Both are at so their resultant is and act at angle bisector.
Net force on particle towards centre of circle is


This resultant  force will act as centripetal force. Distance of particle from centre of circle is .




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