A) Increased by a factor of 2
B) Decreased by a factor of 2
C) Decreased by a factor of 4
D) Unchanged
Correct Answer: C
Solution :
\[I=2{{\pi }^{2}}{{a}^{2}}{{n}^{2}}\]\[v\rho \]Þ \[I\propto {{a}^{2}}{{n}^{2}}\] Þ \[\frac{{{I}_{1}}}{{{I}_{2}}}={{\left( \frac{{{a}_{1}}}{{{a}_{2}}} \right)}^{2}}\times {{\left( \frac{{{n}_{1}}}{{{n}_{2}}} \right)}^{2}}\] \[={{\left( \frac{1}{2} \right)}^{2}}\times {{\left( \frac{1}{1/4} \right)}^{2}}\Rightarrow {{I}_{2}}=\frac{{{I}_{1}}}{4}\]
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