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A spherical black body with a radius of ...

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

The correct Answer is:
C
Power radiated =`sigmaAepsilon_(0)T^(4)`
`Ppropr^(2)T^(4)`
`P_(1)/P_(2)=r_(1)^(2)/r_(2)^(2)[T_(1)/T_(2)]^(4)`
`450/(P_(2))=((12xx10^(-3))^(2))/((12/(2)xx10^(-3))^(2))xx[500/(1000)]^(4)`
`P_(2)=1800W`
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