How much angular distance will be covered by the minute hand of the correct clock in a period of 3 h 25 min?

1230°

The correct answer is Option (2) → 1230°

1. Calculate the speed of the minute hand:

A clock is a circle, which consists of $360^\circ$. The minute hand completes one full rotation every 60 minutes.

$\text{Speed of minute hand} = \frac{360^\circ}{60 \text{ min}} = 6^\circ \text{ per minute}$

2. Convert the total time into minutes:

The given period is 3 hours and 25 minutes.

• $3 \text{ hours} = 3 \times 60 = 180 \text{ minutes}$
• $\text{Total time} = 180 \text{ min} + 25 \text{ min} = \mathbf{205 \text{ minutes}}$

3. Calculate the total angular distance:

$\text{Distance} = \text{Time} \times \text{Speed}$

$\text{Distance} = 205 \text{ min} \times 6^\circ/\text{min}$

$\text{Distance} = \mathbf{1230^\circ}$