Prong of a vibrating tuning fork is in contact with water surface. It produces concentric circular waves on…

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. 256 Hz
  2. 280 Hz
  3. 341 Hz
  4. 512 Hz

Solution

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

Asked in: MHT CET 2024 (10 May Shift 2)

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