Question

What is the wavelength of a sound wave with a frequency of 770 Hz if it speed is 290 m/s?

Answer 1

The wavelength of sound wave with frequency 770 Hz and speed of 290 m/s is equal to 0.3767 m

Explanation:

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 = $\frac{v}{n}$

Substituting the values of v and n, we get

λ = $\frac{v}{n} =\frac{290}{770} = 0.3767 \ m$

Hence, the wavelength of sound wave is equal to 0.3767 m