The specific resistance of a wire is $ρ$, its volume is $3 m^3$ and its resistance is 3 ohm, then its length will be |
$\sqrt{1/ρ}$ $3/\sqrt{ρ}$ $\sqrt{3}/ρ$ $ρ/\sqrt{3}$ |
$3/\sqrt{ρ}$ |
$ R = \frac{\rho l}{A}$ $ 3 = \frac{\rho l}{A}$ $\Rightarrow \frac{A}{l} = \frac{\rho}{3}$ $\Rightarrow V = Al = 3$ $\text{Multiplying these two equations }A^2 = \rho $ $ \Rightarrow A = \sqrt \rho $ $\Rightarrow l = \frac{3}{\sqrt \rho}$ |