A) \[60\,\Omega \]
B) \[47\,\Omega \]
C) \[57\,\Omega \]
D) \[35\,\Omega \]
Correct Answer: C
Solution :
Resistance per unit length of wire \[x=\frac{3}{100}=3\times {{10}^{-2}}\Omega c{{m}^{-1}}\] Equivalent length of wire \[l=\frac{R+3}{3\times {{10}^{-2}}},\] \[R\]being additional resistance \[\frac{E}{k}=\frac{R+3}{3\times {{10}^{-2}}}\] \[\Rightarrow \] \[\frac{2}{1\times {{10}^{-3}}}=\frac{R+3}{3\times {{10}^{-2}}}\] \[\Rightarrow \] \[R=5\,7\,\Omega \]
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