# A wire of length $1m$ is placed in $x-z$ plane carries a current of $1A$. The coefficient of friction between the wire and the surface is $0.2$ and the mass of the wire is $2\; Kg$. The magnetic field of strength $2T$ exists along positive $y$ direction. Then which of the following is correct

$\begin {array} {1 1} (a)\;Acceleration\: of\: the \: wire \; is\: 2\: m/s^2 & \quad (b)\;Acceleration\: of\: the \: wire \; is\: 1\: m/s^2 \\ (c)\;Acceleration\: of\: the \: wire \; is\: 0.5\: m/s^2 & \quad (d)\;Acceleration\: of\: the \: wire \; is\: 0\: m/s^2 \end {array}$

Magnetic force= B i l
= 2x1x1
=2 N
Frictional force=  $\mu m g$
= 4 N
Magnetic force on the wire is smaller than the maximum value of frictional force.
Ans : (d)

edited Sep 19, 2014