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