A) \[\frac{3}{5}\,\,ohm\]
B) 2 ohm
C) \[\frac{6}{5}\,\,ohm\]
D) 3 ohm
Correct Answer: D
Solution :
Suppose resistance of wires are \[{{R}_{1}}\] and \[{{R}_{2}}\] then \[\frac{6}{5}=\frac{{{R}_{1}}{{R}_{2}}}{{{R}_{1}}+{{R}_{2}}}\]. If \[{{R}_{2}}\] breaks then \[{{R}_{1}}=2\Omega \] Hence, \[\frac{6}{5}=\frac{2\times {{R}_{2}}}{2+{{R}_{2}}}\Rightarrow {{R}_{2}}=3\Omega \].
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