Current Electricity Charging Discharging Of Capacitors Question 339

Question: A wire 100 $ cm $ long and 2.0 $ mm $ diameter has a resistance of 0.7 ohm, the electrical resistivity of the material is

Options:

A) $ 4.4\times {{10}^{-6}}ohm\times m $

B) $ 2.2\times {{10}^{-6}}ohm\times m $

C) $ 1.1\times {{10}^{-6}}ohm\times m $

D) $ 0.22\times {{10}^{-6}}ohm\times m $

Show Answer

Answer:

Correct Answer: B

Solution:

$ R=\frac{\rho L}{A}\Rightarrow 0.7=\frac{\rho \times 1}{\frac{22}{7}{{(1\times {{10}^{-3}})}^{2}}} $

$ \rho =2.2\times {{10}^{-6}} $ ohm-m.