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Where will the hour hand of a clock stop...

Where will the hour hand of a clock stop if it starts
from 7 and turns through 2 straight angles ?

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To solve the problem of where the hour hand of a clock will stop if it starts from 7 and turns through 2 straight 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. **Determine the Angle for One Hour:** - Since the hour hand moves 360 degrees in 12 hours, the angle moved by the hour hand in one hour is: \[ \text{Angle per hour} = \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees per hour} \] 3. **Calculate the Total Angle for 2 Straight Angles:** - A straight angle is 180 degrees. Therefore, 2 straight angles will be: \[ \text{Total angle} = 2 \times 180 \text{ degrees} = 360 \text{ degrees} \] 4. **Determine the New Position of the Hour Hand:** - If the hour hand starts at 7 and turns through 360 degrees, it will complete a full circle and return to the same position. - The position of 7 on a clock can be thought of as: - 7 o'clock corresponds to \(7 \times 30 = 210\) degrees from the 12 o'clock position. 5. **Final Position:** - After turning through 360 degrees, the hour hand will still be at 7. Thus, the hour hand stops at: \[ \text{Final position} = 7 \] ### Conclusion: Hence, the hour hand of the clock will stop at **7** after turning through 2 straight angles. ---
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MTG IIT JEE FOUNDATION-UNDERSTANDING ELEMENTARY SHAPES -NCERT SECTION (EXERCISE 5.2)
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