Respuesta :
Answer:
78 cm
Explanation:
The wavelength of a wave is given by:
[tex]\lambda=\frac{v}{f}[/tex]
where
v is the speed of the wave
f is the frequency
In this problem, we have
v = 343.06 m/s is the speed of the sound wave in air
f = 440.0 Hz is the frequency of the note
So, the wavelength of the note is
[tex]\lambda=\frac{343.06 m/s}{440 Hz}=0.78 m=78 cm[/tex]
The wavelength of this note is about 78 cm
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Further explanation
Let's recall the speed of wave and intensity of wave formula as follows:
[tex]\boxed {v = \lambda f}[/tex]
f = frequency of wave ( Hz )
v = speed of wave ( m/s )
λ = wavelength ( m )
[tex]\texttt{ }[/tex]
[tex]\boxed {I = 2 \pi^2 A^2 f^2 \rho v}[/tex]
I = intensity of wave ( W/m² )
A = amplitude of wave ( m )
f = frequeny of wave ( Hz )
ρ = density of medium ( kg/m³ )
v = speed of wave ( m/s )
Let's tackle the problem!
[tex]\texttt{ }[/tex]
Given:
frequency of the note = f = 440.00 Hz
speed of sound in air = v = 343.06 m/s
Asked:
wavelength = λ = ?
Solution:
[tex]v = \lambda f[/tex]
[tex]\lambda = v \div f[/tex]
[tex]\lambda = 343.06 \div 440.00[/tex]
[tex]\lambda \approx 0.78 \texttt{ m}[/tex]
[tex]\lambda \approx 78 \texttt{ cm}[/tex]
[tex]\texttt{ }[/tex]
Learn more
- Doppler Effect : https://brainly.com/question/3841958
- Example of Doppler Effect : https://brainly.com/question/810552
- Sound Waves Cannot Travel In Space. : https://brainly.com/question/546436
- Frequency of The Beats - Doppler Effect : https://brainly.com/question/12367463
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Answer details
Grade: College
Subject: Physics
Chapter: Sound Waves
