The spectrum of a black body at two temperatures `27^(@)C` and `327^(@)C` is shown in the figure. Let `A_(1)` and `A_(2)` be the areas under the two curves respectively. Find the value of `(A_(2))/(A_(1))`

Options

A. `16 : 1`
B. `8 : 1`
C. `9 : 4`
D. `16 : 9`

Answer

A

Explanation

Area under given curve represents emissive power and emissive power `prop T^(4) rArr A prop T^(4)`
`rArr (A_2)/(A_1) = (T_(2)^(4))/(T_(1)^(4)) = ((273+327)^(4))/((273+27)^(4)) = ((600)/(300))^(4) = 16/1`.