Question

Calculate the wave length of a sound wave whose frequency is 220 Hz and speed is 440 m/s in a given medium​

Answer 1

Answer:

Answer:

Frequency of the sound wave, ν= 220 Hz

Speed of the sound wave, v = 440 m s-1

For a sound wave,

Speed = Wavelength x Frequencyv = λ x ν

ˆ´ λ= v / ν = 440 / 220 = 2m

Hence, the wavelength of the sound wave is 2 m.

Answer 2

Given

Speed = 440 m/s

Frequency = 220 Hz

To Find

Wavelength

Solution

We know that

$\red{\sf \longrightarrow \lambda=\dfrac{v}{n}}$

Here

• $\sf \lambda$ = Wavelength
• $\sf v$ = Speed
• $\sf n$ = Frequency

Units

• $\sf \lambda$ = metre (m)
• $\sf v$ = metre per second (m/s)
• $\sf n$ = Hertz (Hz)

According to the question

We are asked to find wavelength

Therefore

We must find "$\sf \lambda$"

Given that

Speed = 440 m/s

Frequency = 220 Hz

Hence

• $\sf v$ = 440 m/s
• $\sf n$ = 220 Hz

Substituting the values

We get

$\orange{\sf \lambda=\dfrac{440}{220} \ m}$

Therefore

$\pink{\sf \lambda=2 \ m}$

Hence

Wavelength = 2 m