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The total radiative power emitted by sph...

The total radiative power emitted by spherical blackbody with radius R and temperature T is P. If the radius if doubled and the temperature is halved then the radiative power will be -

A

`P/4`

B

`P/2`

C

2P

D

4P

Text Solution

Verified by Experts

The correct Answer is:
A
`P=sigma AT^4 = sigma xx 4 pi R^2 xx T^4`
`implies P. = sigma xx 4 pi (2P)^2 xx(T/2)^4`
`implies P. = sigma xx 4 pi R^2 T^4 xx 4 xx (1)/(16) implies P. =P/4`
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