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In a double star, two stars one of mass ...

In a double star, two stars one of mass `m_(1)` and another of mass `m_(2)`, with a separation d, rotate about their common centre of mass. Find
(a) an expression for their time period of revolution.
(b) the ratio of their kinetic energies.
(c) the ratio of their angular momenta about the centre of mass.
(d) the total angular momentum of the system.
(e) the kinetic energy of the system.

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Knowledge Check

  • In a double star system one of mass m_(1) and another of mass m_(2) with a separation d rotate about their common centre of mass. Then rate of sweeps of area of star of mass m_(1) to star of mass m_(2) about their common centre of mass is

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  • The angular momentum of the atom about the centre of mass will be

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