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.


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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 ,

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

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 ,

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

$\begin{gathered}\\ :\implies \sf\:\lambda=1.36\:ms^{-1}\times s\\ \\\end{gathered} </p><p>:⟹λ=1.36ms$

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

Hence ,

$\bold \red{The \: wavelength \: of \: the \: sound \: wave \: in \: air \: is \: 1.36 m}$

Answer 2

Answer:

ANSWER

Given, (In air)

Velocity V=340m/s

Frequency f=20,000Hz

Wavelegth λ=?

V=f.λ

λ=

F

V

=

20,000

340

=0.017Hz

Also, Given (in Water)

Velocity, V=1480m/s

Frequencyf=20,000Hz

wavelength, λ=?

V=F.λ

λ=

F

V

=

20,000

1480

=0.074Hz

Explanation:

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