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A gun is fired at a distance of 3.32 km ...

A gun is fired at a distance of 3.32 km from Chauhan. He hears its sound 10 seconds later. Find the speed of the sound.

A

301 m/s

B

302 m/s

C

332 m/s

D

340 m/s

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AI Generated Solution

The correct Answer is:
To find the speed of sound based on the information provided, we will follow these steps: ### Step 1: Understand the given information We know that a gun is fired at a distance of 3.32 km from Chauhan, and he hears the sound 10 seconds later. ### Step 2: Convert the distance from kilometers to meters Since speed is typically measured in meters per second (m/s), we need to convert the distance from kilometers to meters. - Distance in kilometers = 3.32 km - To convert kilometers to meters, we multiply by 1000 (since 1 km = 1000 m): \[ \text{Distance in meters} = 3.32 \, \text{km} \times 1000 = 3320 \, \text{m} \] ### Step 3: Use the formula for speed The formula for speed is given by: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] ### Step 4: Substitute the values into the formula We have the distance as 3320 meters and the time as 10 seconds. Now we can substitute these values into the formula: \[ \text{Speed} = \frac{3320 \, \text{m}}{10 \, \text{s}} = 332 \, \text{m/s} \] ### Step 5: Conclusion The speed of sound is therefore 332 meters per second. ### Final Answer: The speed of sound is **332 m/s**. ---
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