A) 1
B) 1
C) 2
D) 4
Correct Answer: A
Solution :
In 1896, Wien established the following relation between temperature T and minimum wavelength \[{{\lambda }_{m}}\] for black body \[{{\lambda }_{m}}T=\text{constant}\text{.}\] First case, \[{{\lambda }_{1}}=11\times {{10}^{-5}}\,\text{cm}\] Second case, \[{{\lambda }_{2}}=5.5\times {{10}^{-5}}\,\text{cm}\] \[\therefore \] \[{{\lambda }_{1}}{{T}_{1}}={{\lambda }_{2}}{{T}_{2}}=\text{cosntant}\] \[11\times {{10}^{-5}}\times {{T}_{1}}=(5.5\times {{10}^{-5}})\times {{T}_{2}}\] Given, \[{{T}_{1}}=M{{T}_{2}}\] \[\therefore \] \[11\times {{10}^{-5}}\times n{{T}_{2}}=5.5\times {{10}^{-5}}\times {{T}_{2}}\] \[\Rightarrow \] \[n=\frac{5.5}{11}=0.5=\frac{1}{2}\]
You need to login to perform this action.
You will be redirected in
3 sec
