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Period of a binary star system

This type of question, asked 2 times: 2021 Paper 1, 2021 Paper 12. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 1

    7
    Two stars of masses mm and 2m2m at a distance d rotate about their common centre of mass in free space. The period of revolution is -

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  2. Question 2

    2021 Paper 12

    6
    Two stars of masses m1m_{1} and m2m_{2} form a binary system, revolving around each other in circular orbits of radii r1r_{1} and r2r_{2} respectively. Time period of revolution for this system is

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