Verified Solution • 2025–26 Session moderate

QJEEAdv21Phded0: JEE Advanced 2021 Physics - Class 11 JEEAdv21Phded0 Solution: The distance between two stars of masses 3M S and 6M S is 9R.…

The distance between two stars of masses 3MS and 6MS is 9R. Here R is the mean distance between the centers of the Earth and the Sun, and MS is the mass of the Sun. The two stars orbit around their common center of mass in circular orbits with period nT, where T is the period of Earth's revolution around the Sun. The value of n is __________.

Step-by-Step Verified Solution

For earth-sun system,

T02=4π2GMS×R3 ..... (i)

For binary system

T2=4π2G[3MS+6MS]×(9R)3 .... (ii)

Using Eqs. (i) and (ii), we get

T = 9T0

So, n = 9

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