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MHT CET · Physics · Thermal Properties of Matter

Black sphere of radius R radiates power P at certain temperature T . If the temperature is doubled, the radius gets doubled. Now the power radiated would be

  1. A 4 P
  2. B 8 P
  3. C 16 P
  4. D 64 P
Verified Solution

Answer & Solution

Correct Answer

(D) 64 P

Step-by-step Solution

Detailed explanation

\( P = \sigma (4 \pi R^2) T^4 \) \( P' = \sigma (4 \pi (2R)^2) (2T)^4 \)
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