Question

A wave of frequency 1000 Hz just travel between x and y a distance of 600 m in 2 seconds the number of waves between X and Y is

Answer 1

So, 1000Hz means 1000 wavelengths per second.

It is given that the distance between X and Y i.e., 600m is travelled in 2 seconds.

This implies that number of wavelengths between X and Y is 1000×2 = 2000

Answer 2

The number of waves between x and y is 2000.

Explanation:

It is given that,

Frequency of a wave, f = 1000 Hz

A wave is traveled between x and y a distance of 600 m in 2 seconds. Velocity is given by total distance covered divided by time taken.

$v=\dfrac{d}{t}\\\\v=\dfrac{600\ m}{2\ s}\\\\v=300\ m/s$

Velocity of a wave in terms of wavelength is given by :

$\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{300}{1000}\\\\\lambda=0.3\ m$

It is mentioned that the distance between x and y is 600 m

Let there are n number of wavelength,

$n=\dfrac{600}{0.3}=2000$

So, the number of waves between x and y is 2000.

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