Chapter : 5. Sound
Example : 3
Sound waves travel with a speed of 330 m/s. What is the wavelength of sound waves whose frequency is 550 Hz ?
Solution. Given velocity, v = 330 m/s,
Frequency, ν = 550 Hz
Example : 4
The wave length of sound emitted by a source is 1.7 × 10–2 m. Calculate frequency of the sound, if its velocity is 343.4 ms–1.
Solution. The relation ship between velocity, frequency and wave length of a wave is given by the formula v = ν × λ.
Here,velocity, v = 343.4 ms–1
frequency ν = ?
and wavelength, λ = 1.7 × 10–2 m
So, putting these values in the above formula, we get :
343.4 = ν × 1.7 × 10–2
Thus, the frequency of sound is 2.02 × 102 hertz.
Example : 5
A wave pulse on a string moves a distance of 8m in 0.05 s.
(i) Calculate the velocity of the pulse.
(ii) What would be the wavelength of the wave on the same string, if its frequency is 200 Hz ?
Solution. (i) Velocity of the wave,
(ii) Periodic wave has the same velocity as that of the wave pulse on the same string.
∴
Thus, the wavelength of the wave is 0.8 m.
Example : 6
A person has a hearing range of 20 Hz to 20 kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies ? Take the speed of sound in air as 340 m/s.
Solution. Given : v1 = 20 Hz, V = 340 m/s
v2 = 20 kHz = 20,000 Hz, v = 340 m/s
∴ The typical wavelengths are 17 m and 1.7 cm.
Sound waves travel with a speed of 330 m/s. What is the wavelength of sound waves whose frequency is 550 Hz ?
Solution. Given velocity, v = 330 m/s,
Frequency, ν = 550 Hz
Example : 4
The wave length of sound emitted by a source is 1.7 × 10–2 m. Calculate frequency of the sound, if its velocity is 343.4 ms–1.
Solution. The relation ship between velocity, frequency and wave length of a wave is given by the formula v = ν × λ.
Here,velocity, v = 343.4 ms–1
frequency ν = ?
and wavelength, λ = 1.7 × 10–2 m
So, putting these values in the above formula, we get :
343.4 = ν × 1.7 × 10–2
Thus, the frequency of sound is 2.02 × 102 hertz.
Example : 5
A wave pulse on a string moves a distance of 8m in 0.05 s.
(i) Calculate the velocity of the pulse.
(ii) What would be the wavelength of the wave on the same string, if its frequency is 200 Hz ?
Solution. (i) Velocity of the wave,
(ii) Periodic wave has the same velocity as that of the wave pulse on the same string.
∴
Thus, the wavelength of the wave is 0.8 m.
Example : 6
A person has a hearing range of 20 Hz to 20 kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies ? Take the speed of sound in air as 340 m/s.
Solution. Given : v1 = 20 Hz, V = 340 m/s
v2 = 20 kHz = 20,000 Hz, v = 340 m/s
∴ The typical wavelengths are 17 m and 1.7 cm.
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