A) \[\frac{3}{2}{{\lambda }_{m}}\]
B) \[\frac{2}{3}{{\lambda }_{m}}\]
C) \[\frac{16}{81}{{\lambda }_{m}}\]
D) \[\frac{81}{16}{{\lambda }_{m}}\]
Correct Answer: B
Solution :
[b]: According to Wiens law,\[{{\lambda }_{m}}\infty \frac{1}{T}\] \[\therefore \]\[\frac{{{\lambda }_{m}}}{\lambda {{'}_{m}}}=\frac{T'}{T}=\frac{3000}{2000}=\frac{3}{2}\]or\[\lambda {{'}_{m}}=\frac{2}{3}{{\lambda }_{m}}\]
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