A certain stellar body has radius $50R_s$ and temperature $2T_s$ and is at a distance of $2\times {10}^{10} \mathrm{AU}$ from the earth. Here, $\mathrm{AU}$ refers to the earth-sun distance and $R_s$ and $T_s$ refer to the sun's radius and temperature, respectively. Take, both star and sun to be ideal black bodies. The ratio of the power received on earth from the stellar body as compared to that received from the sun is close to

• A

  $4\times {10}^{-20}$
• B

  $2\times {10}^{-6}$
• C

  ${10}^{-8}$
• Correct answer
  D

  ${10}^{-16}$

Hence, the correct answer is option: 'D'.