A double star system consists of two stars A and B which have time period ${T_A}\;{\rm{and\;}}{{\rm{T}}_{\rm{B}}}$. Radius ${R_A}\;{\rm{and\;}}{R_B}$ and mass ${M_A}\;{\rm{and\;}}{M_B}$. Choose the correct option.

If ${T_A} > \;{{\rm{T}}_{\rm{B}}}{\rm{\;then\;}}{R_A} > \;{R_B}$

If ${T_A} > \;{{\rm{T}}_{\rm{B}}}{\rm{\;then\;}}{M_A} > \;{M_B}$

${\left( {\frac{{{T_A}}}{{{T_B}}}} \right)^2} = {\left( {\frac{{{R_A}}}{{{R_B}}}} \right)^3}$

NEET UG PHYSICS MCQ: GRAVITATION

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Understanding +4 | -1

A double star system consists of two stars A and B which have time period

{T_A}\;\mathrm{and\;}{\mathrm{T}_\mathrm{B}}

. Radius

{R_A}\;\mathrm{and\;}{R_B}

and mass

{M_A}\;\mathrm{and\;}{M_B}

. Choose the correct option.

View answer and explanation

Correct option: D

{T_A} = \mathrm{\;}{T_B}

Option D is correct because in a double star system, both stars orbit around their common center of mass, and thus have the same period.

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