A) \[\rho \]
B) \[{{\rho }^{2}}\]
C) \[\frac{1}{\sqrt{\rho }}\]
D) \[\frac{1}{\rho }\]
Correct Answer: D
Solution :
\[P=\frac{{{V}^{2}}}{R}\,\,\,but\,\,\,R=\frac{\rho l}{A}\,\,\,\,\Rightarrow \,\,\,\,P=\frac{{{V}^{2}}}{\rho l/A}=\frac{A{{V}^{2}}}{\rho l}\] Since \[\frac{A{{V}^{2}}}{l}\] is constant as per given conditions. So \[P\propto \frac{1}{\rho }\]
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