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NEET UG PHYSICS MCQ: GRAVITATION

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Analyzing +4 | -1
A double star consists of two stars having masses MM and 2M2 M. The distance between their centres is equal to rr. They revolve under their mutual gravitational interaction. Then, which of the following statement(s) is/are correct?
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Correct option: B
Both of the stars revolve with the same period which is equal to 2π2GM/3r3/2\frac{2 \pi}{\sqrt{2 G M / 3}} r^{3 / 2}
Option B (Both of the stars revolve with the same period which is equal to 2π2GM/3r3/2\frac{2 \pi}{\sqrt{2 G M / 3}} r^{3 / 2}) is correct because the stars revolve around their center of mass with the same period, and the period can be calculated using Kepler's third law.

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