Transmission Of Heat Question 218

Question: The radiant energy from the sun incident normally at the surface of earth is $ 20\ kcal/m^{2}min $ . What would have been the radiant energy incident normally on the earth, if the sun had a temperature twice of the present one

[CBSE PMT 1998; Pb. PET 2001]

Options:

A) $ 160\ kcal/m^{2}\ min $

B) $ 40\ kcal/m^{2}\ min $

C) $ 320\ kcal/m^{2}\ min $

D) $ 80\ kcal/m^{2}\ min $

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{E _{2}}{E _{1}}={{( \frac{T _{2}}{T _{1}} )}^{4}} $

Therefore $ \frac{E _{2}}{20}={{( \frac{2T}{T} )}^{4}} $ =16

Therefore $ E _{2}=320\ kcal/m^{2} $ min.