Question

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

• A. $1:12$
• B. $6:1$
• C. $12:1$
• D. $1:6$

Answer 1

The correct option is C $12:1$

Let,
Angular speed of hour hand, ${\omega }_1$
Angular speed of minute hand, ${\omega }_2$
${\omega }_1=\frac{2\pi }{60\times 12}$
${\omega }_2=\frac{2\pi }{60}$
$\frac{{\omega }_1}{{\omega }_2}=\frac{60}{12\times 60}=\frac{1}{12}$