A) 2000 K
B) 500 K
C) 250 K
D) None of these
Correct Answer: B
Solution :
From Wiens displacement law \[{{\lambda }_{m}}\propto \frac{1}{T}\] or \[T\propto \frac{1}{{{\lambda }_{m}}}\] \[\therefore \] \[\frac{T}{T}=\frac{{{\lambda }_{m}}}{{{\lambda }_{m}}}\] Given : \[T=1000\,K,\,{{\lambda }_{m}}\,=1.4\,\times {{10}^{-6}}\,m,\] \[\lambda _{m}^{}=2.8\times {{10}^{-6}}\,m\] Putting the given values in eq (1) \[\therefore \] \[\frac{T}{1000}=\frac{1.4\times {{10}^{-6}}}{2.8\times {{10}^{-6}}}\] \[\Rightarrow \] \[T=\frac{1}{2}\times 1000=500K\]
You need to login to perform this action.
You will be redirected in
3 sec
