A) \[\sqrt{\frac{5}{3}}\]
B) \[\frac{5}{3}\]
C) \[{{\left( \frac{5}{3} \right)}^{2}}\]
D) \[{{\left( \frac{5}{3} \right)}^{4}}\]
Correct Answer: D
Solution :
Given that, \[{{\lambda }_{1}}=300\,nm=3\times {{10}^{-7}}m\] \[{{\lambda }_{2}}=500\,nm\] \[=5\times {{10}^{-7}}m\] We know that \[P\propto {{T}^{4}}\] But \[T\propto \frac{1}{\lambda }\] So \[P\propto {{\left( \frac{1}{\lambda } \right)}^{4}}\] Then \[\frac{{{P}_{1}}}{{{P}_{2}}}={{\left( \frac{{{\lambda }_{2}}}{{{\lambda }_{1}}} \right)}^{4}}={{\left( \frac{5}{3} \right)}^{4}}\]You need to login to perform this action.
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