1.

Three solid spheres each of mass m and radius R are released from the position shown in figure. The speed of any one sphere at the time of collision would be

Answer»

`SQRT(GM(1/d-3/R))`
`sqrt(Gm(3/d-1/R))`
`sqrt(Gm(2/R-1/d))`
`sqrt(Gm(1/R-2/d))`

SOLUTION :From conservation of mechanical ENERGY
`3{1/2mv^2}=3{(Gm^2)/(2R)-(Gm^2)/d}`
`rArr v^2=Gm{1/R-2/d} rArr v=sqrt(Gm{1/R-2/d})`


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