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
A person is able to hear sound waves within the frequency range of...
A person is able to hear sound waves within the frequency range of to . Determine the minimum and maximum wavelengths of sound audible to the person. Assume the speed of sound is .
Options
- A and
- B and
- C and
- D and
Correct answer
C. and
Step-by-step solution
Given, speed of sound,
Minimum frequency, f_\min = 20 \text{ Hz}
Maximum frequency, f_\max = 20 \text{ kHz} = 20000 \text{ Hz}
The relation between speed, frequency, and wavelength is given by
For minimum wavelength, frequency must be maximum:
\lambda_\min = \dfrac{v}{f_\max} = \dfrac{360}{20000} = 18 \times 10^{-3} \text{ m} = 18 \text{ mm}
For maximum wavelength, frequency must be minimum:
\lambda_\max = \dfrac{v}{f_\min} = \dfrac{360}{20} = 18 \text{ m}
Thus, the minimum and maximum wavelengths are and respectively.
Minimum frequency, f_\min = 20 \text{ Hz}
Maximum frequency, f_\max = 20 \text{ kHz} = 20000 \text{ Hz}
The relation between speed, frequency, and wavelength is given by
For minimum wavelength, frequency must be maximum:
\lambda_\min = \dfrac{v}{f_\max} = \dfrac{360}{20000} = 18 \times 10^{-3} \text{ m} = 18 \text{ mm}
For maximum wavelength, frequency must be minimum:
\lambda_\max = \dfrac{v}{f_\min} = \dfrac{360}{20} = 18 \text{ m}
Thus, the minimum and maximum wavelengths are and respectively.