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A system of binary stars of mass m(A) an...

A system of binary stars of mass `m_(A)` and `m_(B)` are moving in circular orbits of radii `r_(A)` and `r_(B)` respectively. If `T_(A)` and `T_(B)` are at the time periods of masses `m_(A)` and `m_(B)` respectively then

A

`T_(A) gt T_(B)` (if `r_(A) gt r_(B)`)

B

`T_(A) gt T_(B)` (if `m_(A) gt m_(B)`)

C

`((T_(A))/(T_(B)))^(2) = ((r_(A))/(r_(B)))^(3)`

D

`T_(A) = T_(B)`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • A binary star system consists of two stars of masses M_(1) and M_(2) revolving in circular orbits of radii R_(1) and R_(2) respectively. If their respective time periods are T_(1) and T_(2) , then

    A
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    B
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    C
    `T_(1)=T_(2)`
    D
    `(T_(1))/(T_(2))=((R_(1))/(R_(2)))^(3//2)`

  • Two satellites A and B of masses m_(1) and m_(2)(m_(1)=2m_(2)) are moving in circular orbits of radii r_(1) and r_(2)(r_(1)=4r_(2)) , respectively, around the earth. If their periods are T_(A) and T_(B) , then the ratio T_(A)//T_(B) is

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