Current Electricity Charging Discharging Of Capacitors Question 401

Question: A nichrome wire 50 cm long and one square millimetre cross-section carries a current of 4A when connected to a 2V battery. The resistivity of nichrome wire in ohm metre is

[EAMCET 2001]

Options:

A) 1 × $ {{10}^{-6}} $

B) 4 × $ {{10}^{-7}} $

C) 3 × $ {{10}^{-7}} $

D) 2 × $ {{10}^{-7}} $

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Answer:

Correct Answer: A

Solution:

$ R=\frac{V}{i}=\rho \frac{l}{A} $

Therefore $ \frac{2}{4}=\rho \frac{50\times {{10}^{-2}}}{{{(1\times {{10}^{-3}})}^{2}}} $

Therefore $ \rho =1\times {{10}^{-6}}\Omega m $ .