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MHT CET · Physics · Waves and Sound

The frequency of a tuning fork is \(220 \mathrm{~Hz}\) and the velocity of sound in air is \(330 \mathrm{~m} / \mathrm{s}\). When the tuning fork completes 80 vibrations, the distance travelled is

  1. A \(120 \mathrm{~m}\)
  2. B \(60 \mathrm{~m}\)
  3. C \(53 \mathrm{~m}\)
  4. D \(100 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(120 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

\(
\begin{aligned}
& \mathrm{f}=220 \mathrm{~Hz}, v=330 \mathrm{~m} / \mathrm{s} \\
& v=\mathrm{f} \lambda \\
& \lambda=\frac{\mathrm{v}}{\mathrm{f}}=\frac{330}{220}=\frac{3}{2} \mathrm{~m}
\end{aligned}
\)
Distance travel in 80 vibrations
\(
=80 \times \frac{3}{2}=120 \mathrm{~m}
\)