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A perfect black body emits radiation at ...

A perfect black body emits radiation at temperature `T_(1)""^(@)K`. If it is to radiate 16 times this power, its temperature `T_(2)` will be :

A

`T_(2)=16T_(1)`

B

`T_(2)=8T_(1)`

C

`T_(2)=4T_(1)`

D

`T_(2)=2T_(1)`.

Text Solution

Verified by Experts

The correct Answer is:
D

`(E_(2))/(E_(1))=((T_(2))/(T_(1)))^(4)" "rArr(16E)/(E)=((T_(2))/(T_(1)))^(4)`
`rArrT_(2)=2T_(1)`.
Thus correct choice is (d).
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