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Q.

A spherical black body with a radius of 12 cm radiates 450 watt power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be

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a

450

b

1000

c

1800

d

225

answer is C.

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Detailed Solution

P is directly proportional to r2T4⇒P1P2 = (r1r2)2(T1T2)4P2 = 1800 watt
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A spherical black body with a radius of 12 cm radiates 450 watt power at 500 K. If the radius were halved and the temperature doubled, the power radiated in watt would be