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

Options

A. `1:12`
B. `6:1`
C. `12:1`
D. `1:6`

Answer

C

Explanation

`omega_("min")=(2pi)/(60)("rad")/("min")`
`and omega_(hr)=(2pi)/(12 xx 60)("rad")/("min")`
`:. ( omega_("min"))/( omega_(hr))=(2 pi // 60)/(2pi // 12xx60)`
=`(12)/(1)`