Question

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

Answer 1

The correct option is

B

12 : 1

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

$\therefore \frac{{\omega }_{min}}{{\omega }_{hr}}=12:1$