A) \[5\times {{10}^{-5}}\Omega \]
B) \[3\times {{10}^{6}}\Omega \]
C) \[46\times {{10}^{6}}\Omega \]
D) \[2\times {{10}^{6}}\Omega \]
Correct Answer: A
Solution :
Resistance R of a given conductor, at a constant temperature, is directly proportional to its length and inversely proportional to its area of cross-section A. i.e., \[R\propto \frac{1}{A}\] or \[R=\rho \frac{1}{A}\] where \[\rho \] is called the specific resistance of the material. Given, \[\rho =25\times {{10}^{-6}}\Omega m,\,\,l=1\,\,m,\,\,A=0.5\,{{m}^{2}}\] \[\therefore \] \[R=\frac{25\times {{10}^{-6}}\times 1}{0.5}\] \[=50\times {{10}^{-6}}\] \[=5\times {{10}^{-5}}\Omega \]
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