A) \[0.5\text{ }%\]
B) \[2.5\text{ }%\]
C) \[2.0\text{ }%\]
D) \[1.0\text{ }%\]
Correct Answer: D
Solution :
\[R\,\,\,=\,\,\rho \frac{l}{A}\] Al = constant \[\frac{\Delta \,A}{A}+\frac{\Delta \,l}{l}\,\,=\,\,0\] \[100\times \frac{\Delta \,l}{l}\,\,=\,\,0.5\,%\] \[\frac{\Delta \,A}{A}\times \,\,100\,\,=\,-\,0.5\,%\] \[\Rightarrow \,\,\frac{\Delta \,R}{R}\,=\,\frac{\Delta \,l}{l}\,\,-\,\,\frac{\Delta \,A}{A}\] So, \[\frac{\Delta \,R}{R}\,\times \,100\] \[=0.5-\left( -\,0.5 \right)\] \[=1%\] option (d)
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