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

Explanation

The following is the solution:The minute hand of a watch completes one full rotation (360 degrees) in 60 minutes, while the hour hand completes one full rotation in 12 hours. To find the ratio of their angular speeds, you can compare the angles they cover per unit of time.Minute hand: 360 degrees / 60 minutes = 6 degrees per minute.Hour hand: 360 degrees / 12 hours = 30 degrees per hour.To form the ratio, you can express the angular speed of the minute hand in terms of degrees per hour (by multiplying by 60) to match the unit used for the hour hand:Minute hand: 6 degrees per minute x 60 minutes = 360 degrees per hour.Now, the ratio of angular speeds becomes:Minute hand: 360 degrees per hourHour hand: 30 degrees per hourSo, the ratio is 360:30, which simplifies to 12:1. Therefore, the correct answer is b) 12:1, indicating that the minute hand of a watch moves 12 times faster in terms of angular speed than the hour hand.