The difference between angular speed of minute hand and second hand of a clock is

The difference between angular speed of minute hand and second hand of a clock is

from JEE main 2015

verified

Explanation::

Angular speed of minute hand

$$\omega_m={2π\over 60×60}$$

Angular speed of second hand

$$\omega _s ={2π\over60}$$

$$\therefore \omega_m-\omega_s={2π\over60}-{2π\over60×60}$$

=$${59π\over 1800} rad/s$$