Consider a binary star system of star A and star B with masses mA and mB revolving in a circular orbit of radii rA an rB, respectively. If TA and TB are the time period of star A and star B, respectively,Then :

Question

Consider a binary star system of star A and star B with masses m_A and m_B revolving in a circular orbit of radii r_A an r_B, respectively. If T_A and T_B are the time period of star A and star B, respectively,

Then :

${{{T_A}} \over {{T_B}}} = {\left( {{{{r_A}} \over {{r_B}}}} \right)^{{3 \over 2}}}$

${T_A} = {T_B}$

${T_A} > {T_B}$ (if ${m_A} > {m_B}$)

${T_A} > {T_B}$ (if ${r_A} > {r_B}$)

Solution

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