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Questions  

A spherical black body with a radius of 12 cm radiates 440 W power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be

a
225
b
450
c
900
d
1600

detailed solution

Correct option is D

Radiated power by blackbody P = Qt = AσT4⇒ P ∝ AT4 ∝ r2T4  ⇒ P1P2 = (r1r2)2(T1T2)4⇒  400P2 = (126)2(5001000)4⇒ P2  = 1600 W

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