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

Answer:

Given :-

• Frequency of sound wave = 250 Hz
• Speed = 340 m/s

To Find :-

Wavelength of sound wave in air

Solution :-

As we know that

$\mathfrak \red{ \lambda \: = \dfrac{v}{f}}$

Here,

λ indicate wavelength

f indicate frequency

v indicate velocity

$\tt \lambda \: = \dfrac{340}{250}$

$\tt \lambda \: = 1.36 \: m$

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

Hence :-

The wavelength of sound wave in air is 1.36 m.