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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

`16:1`

B

`8:1`

C

`9:4`

D

`16:9`

Text Solution

Verified by Experts

The correct Answer is:
A
Area under given curce represents emissive power and wmmissive power `prop T^(4) impliesA prop T^(4)`
`implies(A_(2))/(A_(1))=(T_(2)^(4))/( T_(1)^(2))=((273 +327)^(4))/((273 +27)4)=((600)/(300))^(4) =(16)/(1)`
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