Question

Sound travels in a gas at a speed of 240 m s. If its wavelength is 0.8 cm, find the frequency of the wave. Will it be audible?​

Answer 1

Answer:

The frequency of the wave is 3000 Hz and it will be audible.

Explanation:

Speed of the sound wave is given as 240 m/s. The wavelength is 0.8 cm which is equivalent to 0.8 × 10⁻² m. Equation connecting the speed (v), wavelength(λ), and frequency (f) of a wave is given as:

                                              v = fλ

⇒ Frequency, f = v / λ

                       f = 240 / (0.8 × 10⁻²)

                ∴     f = 3000 Hz

The audible range of frequency is between 20 Hz to 20000 Hz. So this sound wave is audible as its frequency is 3000 Hz, which falls in the audible range.