Question

The wavelength and frequency of the sound wave in a certain medium is 40 cm and 835 Hz respectively. In the same medium if another wave has a wavelength equal to 32 cm, calculate its frequency.

Answer 1

Given: λ = 40 cm = 0.40 m, f = 835 Hz
V = f × λ = 825 × 0.40 = 334 ms⁻¹
In the second case, since the medium is same so the velocity of sound will remain the same.
Now V = 334 ms⁻¹, λ = 32 cm = 0.32 m
From V = fλ
∴ f = `"V"/"λ"=334/0.32` = 1043.75 Hz.