According to Kepler's law of planetary motion if T represents time period and r is…

Physics · NEET · NTA Exams — Gravitation

According to Kepler's law of planetary motion if T represents time period and r is orbital radius, then for two planets these are related as

\(\left(\frac{T_{1}}{T_{2}}\right)^{3}=\left(\frac{r_{1}}{r_{2}}\right)^{2}\)
\(\left(\frac{T_{1}}{T_{2}}\right)^{\frac{3}{2}}=\frac{r_{1}}{r_{2}}\)
\(\left(\frac{T_{1}}{T_{2}}\right)^{4}=\left(\frac{r_{1}}{r_{2}}\right)^{3}\)
\(\left(\frac{T_{1}}{T_{2}}\right)=\left(\frac{r_{1}}{r_{2}}\right)^{\frac{3}{2}}\)

Answer

(D) ( T_ 1 T_ 2 )= ( r_ 1 r_ 2 )^ 3 2

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