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For an enclosure maintained at 2000K, th...

For an enclosure maintained at 2000K, the maximum radiation occurs at wavelength `lambda_m`. If the temperature is raised to 3000K, the peak will shift to

A

`5/2 lambda_(m)`

B

`1/2 lambda_(m)`

C

`7/2 lambda_(m)`

D

`3/2 lambda_(m)`

Text Solution

Verified by Experts

The correct Answer is:
B

We know from Wien's displacement law,
`lambda_(m)T=` constant
`therefore lambda_(m)T_(1)=lambda'_(m)T_(2)`
`implies lambda'_(m)=(lambda_(m)T_(1))/(T_(2))=(lambda_(m)xx1000)/(2000)=(lambda_(m))/(2)`
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