Where will the hour hand of a clock stop if it starts
from 8 and turns through 2 right angles ?

Answer

To solve the question of where the hour hand of a clock will stop if it starts from 8 and turns through 2 right angles, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Movement of the Hour Hand**:
- The hour hand of a clock completes a full circle (360 degrees) in 12 hours.

2. **Calculate the Angle for Each Hour**:
- Since 360 degrees corresponds to 12 hours, we can find the angle covered by the hour hand in one hour:
\[ \text{Angle per hour} = \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees per hour} \]

3. **Determine the Total Angle for 2 Right Angles**:
- A right angle is 90 degrees. Therefore, 2 right angles would be:
\[ 2 \text{ right angles} = 2 \times 90 \text{ degrees} = 180 \text{ degrees} \]

4. **Calculate the Number of Hours Corresponding to 180 Degrees**:
- To find out how many hours the hour hand moves through for 180 degrees, we can divide the total angle by the angle covered in one hour:
\[ \text{Hours moved} = \frac{180 \text{ degrees}}{30 \text{ degrees per hour}} = 6 \text{ hours} \]

5. **Determine the New Position of the Hour Hand**:
- Starting from 8 o'clock, if the hour hand moves forward by 6 hours, we can count the hours:
- 8 o'clock + 1 hour = 9 o'clock
- 9 o'clock + 1 hour = 10 o'clock
- 10 o'clock + 1 hour = 11 o'clock
- 11 o'clock + 1 hour = 12 o'clock
- 12 o'clock + 1 hour = 1 o'clock
- 1 o'clock + 1 hour = 2 o'clock

Thus, after moving 6 hours from 8 o'clock, the hour hand will stop at 2 o'clock.

### Final Answer:
The hour hand will stop at 2.

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