JEE Advanced PYQ Gravitation – Kepler’s Laws of Planetary Motion | Previous Year Questions

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Topic Question Set

Q 1 :

A binary star system consists of two stars A and B which have time period $T_{A}$ and $T_{B}$ , radius $R_{A}$ and $R_{B}$ and mass $M_{A}$ and $M_{B}$ . Then [2006]

if $T_{A} > T_{B}$ then $R_{A} > R_{B}$
if $T_{A} > T_{B}$ then $M_{A} > M_{B}$
${(\frac{T_{A}}{T_{B}})}^{2} = {(\frac{R_{A}}{R_{B}})}^{3}$
$T_{A} = T_{B}$

1

2

3

4

(4)

[IMAGE 272]

In case of binary star system, the gravitational force of attraction between the stars will provide the necessary centripetal forces.

So angular velocity $ω$ of both stars is the same. Therefore time period $T = \frac{2 π}{ω}$ remains the same.

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