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If temperature of the sun were to increa...

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

A

4

B

64

C

32

D

16

Text Solution

Verified by Experts

The correct Answer is:
B
`(E_(2))/(E_(1))=(sigmaT_(2)^(4)*4piR_(2)^(2))/(sigmaT_(1)^(4)*4piR_(1)^(2))=((T_(2))/(T_(1)))^(4)*((R_(2))/(R_(1)))^(2)=(2)^(4)*(2)^(2)`
`:.E_(2)=64E_(1)`.
Thus correct choice is (b).
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