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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

A

225

B

450

C

1000

D

1800

Text Solution

Verified by Experts

The correct Answer is:
D
`P=sigmaAT^4`
`P.=sigma(A/4)(2T)^4=4P=4xx450` Watt
=1800 Watt.
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