A) \[{{P}_{2}}>{{P}_{1}}>{{P}_{3}}\]
B) \[{{P}_{1}}>{{P}_{2}}>{{P}_{3}}\]
C) \[{{P}_{3}}>{{P}_{2}}>{{P}_{1}}\]
D) \[{{P}_{1}}>{{P}_{3}}>{{P}_{2}}\]
Correct Answer: A
Solution :
\[P=\frac{{{V}^{2}}}{R}\] \[P\propto \frac{1}{R}\] \[{{R}_{1}}=1\] \[{{R}_{2}}=1/2\] \[{{R}_{3}}=2\] \[{{P}_{2}}>{{P}_{1}}>{{P}_{3}}\]
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