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If the wavelength corresponding to maxim...

If the wavelength corresponding to maximum energy radiated from the moon is 14 micron, and wien's constant is `2.8xx10^(-3)mK`, then temperature of moon is

A

207 K

B

270 K

C

`207^(@)`C

D

`270^(@)`C

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `lambda_(m)` = 14 micron=`14mum=14xx10^(-6)`m
and Wien constant, b`=2892 xx 10^(-6)` mK
According to Wien's displacement law,
`lambda_(m) = b/T` or `T=b/lambda_(m)` = `(2892 xx 10^(-6))/(14 xx 10^(-6)m)`
`therefore` T=`5^(@)`C
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