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If the temperature of the Sun were to in...

If the temperature of the Sun were to increase from T to 2T and its radius from R to 2R. The rat io of power, radiated by it would become

A

`4`

B

`16`

C

`32`

D

`64`

Text Solution

Verified by Experts

The correct Answer is:
D
According to Stefan's law, power radiated by a perfectly black body is `P = sigmaAT^(4). P= sigma4piR^(2)T^(4)`
`(P_(2))/(P_(1)) = ((R_(2))/(R_(1)))^(2) ((T_(2))/(T_(1)))^(4) implies P_(2) = 64P_(1)`
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