By Team Aakash Byju's | 29th November 2022

How to Find Distance Between Two Points Using Wave Frequency?

A

B

C

D

A wave of frequency 500 Hz has a velocity of 360 ms. Calculate the distance between two points that are 60° out of phase.

20 cm

18 cm

12 cm

8 cm

-1

Detailed Explanation

The correct option is  C. 12 cm.

Arrow

First, it is important to find the wavelength of the wave. By looking at the data, the best equation that helps to find the wavelength is:

λ=

v

f

λ is the wavelength, f is the frequency & v is the velocity of the wave.

Arrow

Wave Trough

Wave Height

Wave Crest

Wave Length

Amplitude

f = frequency

T = Period

Substitute the given values to find the wavelength:

λ=

360

= 0.72cm

500

Video Credit: Pixabay

Given that, two points are 60° out of phase, and we know that: Phase difference =  [2π × distance b/w 2 points] ÷ wavelength

=> [Phase difference × wavelength] ÷ 2π = distance b/w 2 points

Substitute all values to find the distance between two points.

Parts of a wave

Wave length , λ

Trough

Amplitude

Wave length , λ

Displacement

-A

0

A

=> Distance = 12 centimetres.

=> Distance = (60 × 0.72) ÷ 360   (Because 2π = 2(180) = 360)