A) 1 : 1
B) 1 : 2
C) 2 : 1
D) 1 : 4
Correct Answer: A
Solution :
\[P=\frac{{{V}^{2}}}{R}\]Þ \[\frac{{{P}_{P}}}{{{P}_{S}}}=\frac{{{R}_{S}}}{{{R}_{P}}}=\frac{({{R}_{1}}+{{R}_{2}})}{{{R}_{1}}{{R}_{2}}/({{R}_{1}}+{{R}_{2}})}=\frac{{{({{R}_{1}}+{{R}_{2}})}^{2}}}{{{R}_{1}}\,{{R}_{2}}}\] Þ \[\frac{100}{25}=\frac{{{({{R}_{1}}+{{R}_{2}})}^{2}}}{{{R}_{1}}{{R}_{2}}}\] Þ \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{1}{1}\]
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