A) \[{{R}_{1}}=3\Omega ,\,\,{{R}_{2}}=3\Omega \]
B) \[{{R}_{1}}=6\Omega ,\,\,{{R}_{2}}=1.5\Omega \]
C) \[{{R}_{1}}=1.5\Omega ,\,{{R}_{2}}=\]any finite value
D) \[{{R}_{1}}=3\Omega ,\,\,{{R}_{2}}=\]any finite value
Correct Answer: D
Solution :
Key idea: Given circuit is a balanced Wheatstone's bridge. The ratio of resistances in the opposite arms of the circuit is equal\[i.e.,\]\[\frac{10}{30}=\frac{{{R}_{1}}}{9}\]\[\Rightarrow \]\[{{R}_{1}}=3\Omega \]and resistance \[{{R}_{2}}\] may have any finite value.
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