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Transmission of Heat — JEE physics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceJEE physicsTransmission of Heat1 Mark
MCQ
Suppose the sun expands so that its radius becomes $100$ times its present radius and its surface temperature becomes half of its present value. The total energy emitted by it then will increase by a factor of
  • A
    $10$
  • ✓
    $625$
  • C
    $256$
  • D
    $16$
✓

Answer

Correct option: B.
$625$
$\frac{Q_2}{Q_1}=\left(\frac{r_2^2}{r_1^2}\right)^2 \times\left(\frac{T_2}{T_1}\right)^4=\left(\frac{100}{1}\right)^2 \times\left(\frac{1}{2}\right)^4=625$

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