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

If the temperature of the sun were to increase form T to 2T and its radius from R to 2R, then the ratio of the radiant energy received on earth to what it was previously will be

`4`

`16`

`32`

`64`

Text Solution

Verified by Experts

The correct Answer is:

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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