The ratio of angular speeds of minute hand

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The ratio of angular speeds of minute hand and hour hand of a watch is

A

$1:12$

B

$6:1$

C

$12:1$

D

$1:6$

The ratio of angular speeds of minute hand and hour hand of a watch is

${\omega _{\min }} = \frac{{2\pi }}{{60}}\;\frac{{Rad}}{{min}}$ and ${\omega _{hr}} = \frac{{2\pi }}{{12 \times 60}}\;\frac{{Rad}}{{min}}$

 $\frac{{{\omega _{\min }}}}{{{\omega _{hr}}}} = \frac{{2\pi /60}}{{2\pi /12 \times 60}}$