1.

Two particles of equal mass m go round a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle is

Answer»

`v=sqrt((1)/(GM))`
`v=sqrt((4GM)/(R))`
`v=(1)/(2)sqrt((GM)/(R))`
`v=(1)/(2R)sqrt((1)/(GM))`

SOLUTION :Centripetal force is provided by the gravitational force of attraction between TWO particles.
i.e.,`(mv^2)/(R)=(GMxxm)/((2R)^(2))`
`rArrv=(1)/(2)sqrt((GM)/(R))`


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