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If the temperature of the sun (black bod...

If the temperature of the sun (black body) is doubled, the rate of energy received on earth will be increase by a factor of

A

2

B

4

C

8

D

16

Text Solution

Verified by Experts

The correct Answer is:
D
Rate of energy received on the Earth `u = e sigma AT^4 ` for given ` e sigma and A u prop T^4 `
` (u_1)/(u_2) = (T_1^4)/(T_(2)^(4))`
Here `T_2 = 2T_1 therefore (u_1)/(u_2) =(T_1^4 )/((2T_1)^4) = (1)/(16) or u_2 = 16 u_1`
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