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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Thermal Properties of Matter

Olympiad workbook · NSEP · Thermal Properties of Matter

Assuming the Sun to be a spherical body (radius R_ S ) of surface...

Assuming the Sun to be a spherical body (radius RS\mathrm{R}_{\mathrm{S}} ) of surface temperature T , the total radiation power received by Earth (radius RE\mathrm{R}_{\mathrm{E}} ) at a distance r from Sun⁡\operatorname{Sun} is

Options

  1. AσπRE2Rs2T4r2\frac{\sigma \pi \mathrm{R}_E^2 \mathrm{R}_s^2 T^4}{r^2}
  2. Bσ4πRE2RS2T4r2\frac{\sigma 4 \pi \mathrm{R}_E^2 \mathrm{R}_S^2 T^4}{r^2}
  3. CσπRE2Rs2T44r2\frac{\sigma \pi \mathrm{R}_E^2 \mathrm{R}_s^2 T^4}{4 r^2}
  4. DσRE2RS2T44πr2\frac{\sigma \mathrm{R}_E^2 \mathrm{R}_S^2 T^4}{4 \pi r^2}

Correct answer

A. σπRE2Rs2T4r2\frac{\sigma \pi \mathrm{R}_E^2 \mathrm{R}_s^2 T^4}{r^2}

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