The wavelength of sound wave with frequency 770 Hz and speed of 290 m/s is equal to 0.3767 m
The wave equation determining the relationship between speed, frequency and wavelength of a sound wave is given by:
Speed of sound = Frequency of sound × Wavelength of sound wave
v = n × λ .................................(1)
Given:
v = Speed of sound wave = 290 m/s
n = Frequency of sound = 770 Hz
λ = Wavelength = ?
From (1)
v = n × λ
Rewriting the equation for λ, we get
λ = [tex]\frac{v}{n}[/tex]
Substituting the values of v and n, we get
λ = [tex]\frac{v}{n} =\frac{290}{770} = 0.3767 \ m[/tex]
Hence, the wavelength of sound wave is equal to 0.3767 m
