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The spectrum of a black body at two temp...

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))`

A

`1:16`

B

`4:1`

C

`2:1`

D

`16:1`

Text Solution

Verified by Experts

The correct Answer is:
D
Area under given curve `prop T^4`
`implies (A_2)/(A_1)=(T_2^4)/(T_1^4)=((273+327)/(273+27))^4 implies (A_2)/(A_1)=(16)/(1)`
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