Answer:
13.72 m and 0.01372 m respectively
Step-by-step explanation:
Wavelength: This can be defined as the distance covered in one complete oscillation. The S.I unit of wavelength is meter (m).
The formula for the speed of a wave is given as
v = λf ............................. Equation 1
Where v = speed of the sound wave, λ = wavelength, f = frequency of the sound wave.
make λ the subject of the equation,
λ = v/f ......................... Equation 2
For the lowest frequency,
Given: f = 25 Hz, v = 343 m/s.
Substitute into equation 2
λ = 343/25
λ = 13.72 m.
For the highest frequency,
Given: f = 25 kHz = 25000 Hz, v = 343 m/s
Substitute into equation 2
λ = 343/25000
λ = 0.01372 m.
The wavelength of sound for 25 Hz and 25 kHz = 13.72 m and 0.01372 m respectively