JEE Advanced 2021 Physics question

PhysicsGravitationJEE Advanced 2021

The distance between two stars of masses and is . Here is the mean distance between the centers of the Earth and the Sun, and is the mass of the Sun. The two stars orbit around their common center of mass in circular orbits with period , where is the period of Earth's revolution around the Sun. The value of n is .

Answer: 9

Solution

For a binary system with separation , . For the Earth–Sun system $ =

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Question ID VK-033914