Question

A wave has a speed of 150 m/s and a frequency of 60 Hz. What is the wavelength of this wave in metres?

Answer 1

$\bigstar$ Given

A wave has a speed of 150 m/s and a frequency of 60 Hz

$\bigstar$ To Find

The wavelength of this wave (in metres)

$\bigstar$ Solution

We know that

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

Here

• λ = wavelength
• v = velocity
• f = frequency

Units

• λ = metre (m)
• v = metres per second (m/s)
• f = Hertz (Hz)

According to the question

We are asked to find the wavelength of this wave

Therefore

We must find "λ"

Given that

A wave has a speed of 150 m/s and a frequency of 60 Hz

Hence

• v = 150 m/s
• f = 60 Hz

Substituting the values

We get

$\green{\sf \longrightarrow \lambda=\dfrac{150}{60} \ m}$

Cancelling zeros in both numerator and denominator

We get

$\orange{\sf \longrightarrow \lambda=\dfrac{15}{6} \ m}$

On further simplification

We get

$\blue{\sf \longrightarrow \lambda=\dfrac{5}{2} \ m}$

Hence

$\pink{\sf \longrightarrow \lambda=2.5 \ m}$

Therefore

$\star$ Wavelength of wave = 2.5 m

Answer 2

Answer:

Given:

Speed of wave, v = 380 m/s

Frequency of wave, f = 1900 Hz

To be calculated:

Calculate the wavelength of the wave.

Formula used:

Velocity = frequency × wavelength

Solution:

We know that the formula for calculating the wavelength of a sound wave ,

velocity = frequency × wavelength

Putting the values of velocity and frequency in the above formula, we get

➱ 380 = 1900 × wavelength

➱ wavelength = 380/1900

➱ wavelength = 38/190

➱ wavelength = 2/10

➱ wavelength = 0.2

Thus, the wavelength of sound wave is 0.2 m.