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A spherical black body with a radius of ...

A spherical black body with a radius of 12 cm radiates 450 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)1800

A

3600

B

450

C

900

D

1800

Text Solution

Verified by Experts

The correct Answer is:
D
`(P_(2))/(P_(1))=((r_(2))/(r_(1)))^(2)xx((T_(2))/(T_(1)))^(4)`
`P_(2)=(1)/(4)xx(2)^(4)`
`P_(1)=(14)/(4)P_(1)=4xx450=1800`
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