Answer:
1. The wavelength of sound from Source A is half the wavelength of sound from Source B
Explanation:
The frequency and wavelength of a wave related as given below:
[tex]\lambda = \frac{v}{f}[/tex]
where, λ = wavelength, v = speed, and f = frequency of wave
Lets say, frequency and wavelength of sound from source A = f, λ
frequency and wavelength of sound from source B = f', λ'
In the given case,
f = 2f'
It implies the wavelength of sound from source A(λ) is half the wavelength of sound from source B (λ').
Sound from Source A has twice the frequency of sound from Source B. Compare the wavelengths of sound from the two sources - 1. The wavelength of sound from Source A is half the wavelength of sound from Source B.
Doubling the frequency only halves the wavelength as both are inversely proportional to one another however, wave speed remains the same. To change the wave speed, the medium would have to be changed.
The speed v, frequency f, and wavelength λ of a wave are related by the following relation:
v = fλ
f = [tex]\frac{v}{\lambda}[/tex]
now if the frequency is doubled then 2f = [tex]\frac{1}{2\lambda}[/tex]
Thus, The wavelength of sound from Source A is half the wavelength of sound from Source.
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