An aluminium (resistivity $\rho=2.2 \times 10^{-8} \Omega m)$ wire of a diameter $1.4 \;mm$ is used to make a $4 \Omega$ resistor. The length of the wire is

Question

\[\begin {array} {1 1} (a)\;220\;m & \quad (b)\;1000\;m \\ (c)\;280\;m & \quad (d)\;1\;m \end {array}\]