The instantaneous velocity of a point B of the given rod of length 0.5 m is 3 m/s in the represented direction. The angular velocity of the rod for the minimum velocity of end A is

Question

 

$$\begin {array} {1 1} (a)\;1.5\;rad/s & \quad (b)\;5.2\;rad/s \\ (c)\;2.5\;rad/s & \quad (d)\;none\;of\;these \end {array}$$