A binary star system consists of two stars A and B which have time period and , radius and and mass and . Then [2006]

Question

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]

Smart Achievers · Accepted Answer

(4)

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 $R_{A}$ remains the same.

Solution

Q.
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]

1 if $T_{A} > T_{B}$ then $R_{A} > R_{B}$

2 if $T_{A} > T_{B}$ then $M_{A} > M_{B}$

3 ${(\frac{T_{A}}{T_{B}})}^{2} = {(\frac{R_{A}}{R_{B}})}^{3}$

4 $T_{A} = T_{B}$

Ans.
(4)

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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Solution

Q. A binary star system consists of two stars A and B which have time period TA and TB, radius RA and RB and mass MA and MB. Then [2006]

1 if TA>TB then RA>RB

2 if TA>TB then MA>MB

3 (TATB)2=(RARB)3

4 TA=TB

Ans. (4) 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=2πω remains the same.