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MHT CET · Physics · Waves and Sound

Prong of a vibrating tuning fork is in contact with water surface. It produces concentric circular waves on the surface of water. The distance between five consecutive crests is 0.8 m and the velocity of wave on the water surface is \(56 \mathrm{~m} / \mathrm{s}\). The frequency of tuning fork is

  1. A 256 Hz
  2. B 280 Hz
  3. C 341 Hz
  4. D 512 Hz
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Answer & Solution

Correct Answer

(B) 280 Hz

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Detailed explanation

\(\begin{aligned} & \lambda=\frac{\text { Distance between crests }}{\text { No.of crest }-1}=\frac{0.8}{4}=0.2 \mathrm{~m} \\ & \mathrm{v}=\mathrm{n} \lambda \quad \Rightarrow \mathrm{n}=\frac{\mathrm{v}}{\lambda} \\ \therefore \quad & \mathrm{n}=\frac{56}{0.2}=280 \mathrm{~Hz}\end{aligned}\)
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