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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Sound Waves

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Sound Waves

Determine the minimum and maximum wavelengths of sound in water...

Determine the minimum and maximum wavelengths of sound in water within the audible range (2020–20000 Hz20000 \text{ Hz}) for an average human ear. The speed of sound in water is 1450 m s−11450 \text{ m s}^{-1}.

Options

  1. A7.25 m7.25 \text{ m}, 72.5 cm72.5 \text{ cm}
  2. B0.725 cm0.725 \text{ cm}, 725 m725 \text{ m}
  3. C72.5 cm72.5 \text{ cm}, 7.25 m7.25 \text{ m}
  4. D7.25 cm7.25 \text{ cm}, 72.5 m72.5 \text{ m}

Correct answer

D. 7.25 cm7.25 \text{ cm}, 72.5 m72.5 \text{ m}

Step-by-step solution

The relation between speed, frequency, and wavelength is given by v=fλv = f \lambda.

The minimum wavelength corresponds to the maximum frequency:

\lambda_\min = \dfrac{v}{f_\max}

\lambda_\min = \dfrac{1450}{20000} = 0.0725 \text{ m} = 7.25 \text{ cm}

The maximum wavelength corresponds to the minimum frequency:

\lambda_\max = \dfrac{v}{f_\min}

\lambda_\max = \dfrac{1450}{20} = 72.5 \text{ m}

The minimum and maximum wavelengths are 7.25 cm7.25 \text{ cm} and 72.5 m72.5 \text{ m} respectively.
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