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JEE Main 22-Jan-2025 Paper - Shift 1 — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEEJEE Main 22-Jan-2025 Paper - Shift 14 Marks
MCQ
Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same atmosphere. The temperature of the smaller body is 800 K and temperature of bigger body is 400 K . If the energy radiate from the smaller body is E, the energy radiated from the bigger body is (assume, effect of the surrounding to be negligible)
  • A
    256 E
  • ✓
    E
  • C
    64 E
  • D
    16 E
✓

Answer

Correct option: B.
E
(B) E
$
\begin{array}{l}Sol.
\frac{d \theta}{dt}=\sigma eAT^4 \Rightarrow P \propto AT^4 \\
\frac{P_{\text {smaller }}}{P_{\text {larger }}}=\frac{(0.2)^2 \times 800^4}{(0.8)^2 \times 400^4} \\
\frac{1}{16} \times 16=1 \\
\therefore P_{\text {lagar }}=P_{\text {sualka }}
\end{array}
$

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