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Q.

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

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a

225

b

450

c

900

d

1800

answer is D.

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Detailed Solution

We know that power radiated is given byP=σT44πT2∝T4r2∴ P2P1=T2T14r2r12=(2)4×122=4or     P2=4P1=4×450=1800 watt
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