A) The resistance will be doubled and the specific resistance will be halved
B) The resistance will be halved and the specific resistance will remain unchanged
C) The resistance will be halved and the specific resistance will be doubled
D) The resistance and the specific resistance, will both remain unchanged
Correct Answer: B
Solution :
\[R\propto \frac{l}{{{r}^{2}}}\] Þ \[\frac{{{R}_{2}}}{{{R}_{1}}}=\frac{{{l}_{2}}}{{{l}_{1}}}\times \frac{{{r}_{1}}^{2}}{{{r}_{2}}^{2}}\]= \[\left( \frac{2}{1} \right)\times {{\left( \frac{1}{2} \right)}^{2}}\]\[=\frac{1}{2}\] Þ \[{{R}_{2}}=\frac{{{R}_{1}}}{2},\] specific resistance doesn't depend upon length, and radius.
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