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MHT CET 2021 (24 Sep, Shift 1) · Wave Basics & Properties of Sound

Wave Basics & Properties of Sound question from MHT CET 2021 (24 Sep, Shift 1)

Q25MHT CET 2021 · 24 SEP · SHIFT 1Easy

Wave Basics & Properties of Sound

Two tuning forks of frequencies 320 Hz320\text{ Hz} and 480 Hz480\text{ Hz} are sounded together to produce sound waves. The velocity of sound in air is 320 ms−1320\text{ ms}^{-1}. The difference between wavelengths of these waves is nearly

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Answer: (c)

  1. λ=vn\lambda = \frac{v}{n} for each fork.
  2. λ1=320320=1\lambda_1 = \frac{320}{320} = 1 m, λ2=320480=0.667\lambda_2 = \frac{320}{480} = 0.667 m
  3. Δλ=1−0.667=0.333\Delta\lambda = 1 - 0.667 = 0.333 m ≈33\approx 33 cm
  4. So the answer is (c) 33 cm.
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