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JEE Advanced2010PhysicsGravitationActual

A binary star consists of two stars A (mass 2.2 M_S ) and B (mass 11 M_s ), where M_S is the mass of the sun. They are separated by distance d and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star B about the centre of mass is

Correct answer

6

Step-by-step solution

L_ Total L_B = (I_A+I_B ) I_B (as will be same in both cases) aligned & = I_A I_B +1= m_A r_A^2 m_B r_B^2 +1 & .= r_A r_B +1 (as m_A r_A=m_B r_B ) & = 11 2.2 +1 ( as r 1 m ) & =6 aligned The correct answer is 6 .

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