A boy stands $x\ \text{m}$ away from a high wall and claps his hands at a steady rate so that each clap coincides with the echo of the one before. If he makes $60$ claps in $2$ minutes and the velocity of sound is $340\ \text{m/s}$, then the distance $x$ from the wall is

Question

A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is now dipped vertically in water drum to half of its length. The fundamental frequency of the air column is now equal to:

Answer 1

Step 1: Total distance
In the interval of $2\ \text{s}$, sound travels $340\times2=680\ \text{m}$.

Step 2: Round trip
This distance covers the trip to the wall and back, so it is $2x$.

Step 3: Result
$x=\dfrac{680}{2}=340\ \text{m}$, option (B).

Final Answer:
The distance is 340 m. \[ \boxed{\text{(B) }\text{340 m}} \]

A boy stands \(x\ \text{m}\) away from a high wall and claps his hands at a steady rate so that each clap coincides with the echo of the one before. If he makes \(60\) claps in \(2\) minutes and the velocity of sound is \(340\ \text{m/s}\), then the distance \(x\) from the wall is

Show Hint

The Correct Option is B

Solution and Explanation

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