A) 256/81
B) 64/27
C) 16/9
D) 4/3
Correct Answer: A
Solution :
[a] According to Wien's law, wavelength corresponding to maximum energy decreases. When the temperature of black body increases, i.e., \[{{\lambda }_{m}}T\] constant, \[\Rightarrow \] \[\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{{{\lambda }_{0}}}{3{{\lambda }_{0}}/4}=\frac{4}{3}\]. Now according to Stefan's law, \[\frac{{{E}_{2}}}{{{E}_{1}}}\,={{\left( \frac{{{T}_{2}}}{{{T}_{1}}} \right)}^{4}}={{\left( \frac{4}{3} \right)}^{4}}=\frac{256}{81}\]You need to login to perform this action.
You will be redirected in
3 sec