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Question: Answered & Verified by Expert
Two tuning forks of frequencies $320 \mathrm{~Hz}$ and $480 \mathrm{~Hz}$ are sounded together to produce sound waves. They velocity of sound in air is $320 \mathrm{~ms}^{-1}$. The difference between wavelengths of these waves is nearly
PhysicsWaves and SoundMHT CETMHT CET 2021 (23 Sep Shift 1)
Options:
  • A 48 cm
  • B 16.5 cm
  • C 33 cm
  • D 42 cm
Solution:
2100 Upvotes Verified Answer
The correct answer is: 33 cm
$\begin{aligned} & \lambda_1-\lambda_2=\frac{\mathrm{V}}{\mathrm{f}_1}-\frac{\mathrm{V}}{\mathrm{f}_2} \\ & =\frac{320}{320}-\frac{320}{480} \\ & =1-\frac{2}{3}=\frac{1}{3} \mathrm{~m}=0.33 \mathrm{~m}=33 \mathrm{~cm}\end{aligned}$

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