question_answer

Two point masses of mass \[{{m}_{1}}=fM\]and \[{{m}_{2}}=(1-f)M(f<1)\]are in outer space (far from gravitational influence of other objects) at a distance R from each other. They move in circular orbits about their centre of mass with angular velocities \[{{\omega }_{1}}\]) for\[{{m}_{1}}\]and \[{{\omega }_{2}}\]for\[{{m}_{2}}\]. In that case     JEE Main  Online Paper (Held On 19  May  2012)

A) \[(1-f){{\omega }_{1}}=f\omega \]

B)                        \[{{\omega }_{1}}={{\omega }_{2}}\]and independent of f

C)                        \[f{{\omega }_{1}}=(1-f){{\omega }_{2}}\]

D)                        \[{{\omega }_{1}}={{\omega }_{2}}\] and depend on f