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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

450

B

1000

C

1800

D

225

Text Solution

Verified by Experts

`P = sigma (4pi r^(2)) (T)^(4)`
`P' = sigma . 4 pi r ((r )/(2))^(2) . (2 T)^(4)`
`(P')/(P) = 4 implies P' = 4 P = 1800 W`
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