Question

A sound wave of frequency 250 Hz is propagating in air medium with speed 340 m/sec. Find the wavelength of sound wave in air.​

Answer 1

Given :

Frequency of sound wave = 250 Hz

Speed = 340 m/s

To Find :

The wavelength of the sound wave in air

Solution :

The relation between Frequency, wavelength and velocity is given by ,

$\\ \star \: \Large{\boxed{\purple{\sf{ \lambda = \frac{ v}{f} }}}}$

Here,

λ is wavelength

f is frequency

v is velocity

We have,

v = 340 m/s

f = 250 Hz = 250 s⁻¹ {∵ 1s⁻¹ = Hz}

Substituting the values we have,

$\\ : \implies \sf \: \lambda = \frac{340\:ms^{-1}}{250\:s^{-1}}$

$\\ :\implies \sf\:\lambda=1.36\:ms^{-1}\times s$

$\\ : \implies{\underline{\boxed{\pink {\mathfrak{\mathfrak{\lambda \: = 1.36 \: m}}}}}} \: \bigstar$

Hence, the wavelength of the sound wave in air is 1.36 m.

Answer 2

Explanation:

please see the attachment