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Many planets are revolving around the fixed sun, in circular orbits of different radius (R) and different time period (T). To estimate the mass of the sun, the orbital
\( \mathrm{P} \) radius (R) and time period (T) of planets were noted.

W Then \( \log _{10} \mathrm{~T} \mathrm{v} / \mathrm{s} \log _{10} \mathrm{R} \) curve was plotted. The curve was found to be approximately straight line (as shown in figure) having y intercept \( =6.0 \) (Neglect the gravitational interaction among the planets
\( \left[\right. \) Take \( \mathrm{G}=\frac{20}{3} \times 10^{-11} \) in \( \left.\mathrm{MKS}, \pi^{2}=10\right] \)
Estimate the mass of the sun :
(A) \( 6 \times 10^{29} \mathrm{~kg} \)
(B) \( 5 \times 10^{20} \mathrm{~kg} \)
(C) \( 8 \times 10^{25} \mathrm{~kg} \)
(D) \( 3 \times 10^{35} \mathrm{~kg} \)
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