Four masses 'm' each are orbitinting in a circular of radius `r` in the same direction under gravitational force. Velocityof each particle is

Options

A. `sqrt((Gm)/r((1+2sqrt(2)))/2)`
B. `sqrt((Gm)/r)`
C. `sqrt((Gm)/r(1+2sqrt(2)))`
D. `sqrt((Gm)/(2r)((1+2sqrt(2))/2)`

Answer

C

Explanation

`(Gm^(2))/((2r)^(2))+(2Gm^(2))/((sqrt(2)r)^(2))cos45=(mv^(2))/r`