B) is the correct answer 59π/1800 rad/s

Explanation::

Angular speed of minute hand

\(\omega_m={2π\over 60×60}\)

Angular speed of second hand

\(\omega _s ={2π\over60}\)

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

=\({59π\over 1800} rad/s\)