JEE Mains · Physics · STD 11 - 10.2 transmission of heat
Two spherical bodies of same materials having radius 0.2 m and 0.8 m are placed in same atmosphere. The temperature of the smaller body is 800 K and temperature of the bigger body is 400 K . If the energy radiated from the smaller body is E, the energy radiated from the bigger body is _________. (assume, effect of the surrounding temperature to be negligible),
- A 16 E
- B E
- C 64 E
- D 256 E
Answer & Solution
Correct Answer
(B) E
Step-by-step Solution
Detailed explanation
\begin{aligned} & \frac{\mathrm{d} \theta}{\mathrm{dt}}=\sigma \mathrm{eAT}^4 \Rightarrow \mathrm{P} \propto \mathrm{AT}^4 \\ & \frac{\mathrm{P}_{\text {smaller }}}{\mathrm{P}_{\text {larger }}}=\frac{(0.2)^2 \times 800^4}{(0.8)^2 \times 400^4} \\ & \frac{1}{16} \times 16=1 \\ &…
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