A sound wave is shown graphically. If the speed of
sound wave is 350 m/s, then wavelength of sound
wave is approximately
0.25
Displacement
Time (ms)
(1) 0.2 m
(3) 0.5 m
(2) 2 m
(4) 0.05 m
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Answer:
answer is 2 m
Right option 2
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Given,
speed of sound wave = 350 m/s
wavelength of wave = 0.25
To find,
The displacement of the sound wave with 350 m/s speed
Solution,
The speed of sound wave formula is given as,
v = f × λ
where,
v = speed of sound
f = frequency of sound wave
λ = wavelength of sound
In 1 millisecond, the wavelength of wave is 7/4 (according to figure)
Therefore, frequency = 7/4 Hz
10⁻³ second = 7/4 × 10⁻³ oscillations
v = f × λ
350 = 7/4 × 10⁻³ × λ
λ = 350 ÷ (7/4 × 10⁻³)
λ = 0.2 m
Therefore the wavelength of sound is approximately 0.2 m.
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