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The ratio of angular speeds of minute ha...

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

A

`6:1`

B

`1: 6`

C

`1: 12`

D

`12: 1`

Text Solution

Verified by Experts

The correct Answer is:
D
Angular speed of hour hand is given by
`omega=(2pi)/(12xx60xx60)`
Angular speed minute hand is given by , `omega_2=(2pi)/(60xx60)`
Hence , `omega_2/omega_1=(2pi//60xx60)/(2pi//12xx60xx60)=12`
`therefore" "omega_2//omega_1=12:1`
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