Question

A wave pulse on a string moves a distance of 8m in 0.05s . find the velocity of the pulse and what would be the wavelength of the wave on the same string if its frequency is 200 Hz

Answer 1

Hope my answer helps you.

Answer 2

Answer:

The wavelength of the wave pulse, λ, calculated is $0.8m$.

Explanation:

Given data,

The distance of the wave pulse on the string, d = $8m$

The time taken by the wave pulse, t = $0.05s$

The frequency of the wave pulse, ν = $200Hz$

The wavelength of the wave pulse, λ =?

From the relation given below, we can find out the wavelength of the wave pulse:

• Velocity ( V ) = frequency ( ν ) × wavelength ( λ )  -------equation (1)

For this, we have to find out the velocity of the wave pulse.

As we know,

• Velocity = $\frac{Distance}{Time}$ = $\frac{8}{0.05}$ = $160m/s$

After putting the calculated value of velocity and given value of frequency in equation (1), we get:

• V = $\nu \lambda$
• λ = $\frac{V}{\nu}$
• λ = $\frac{160}{200}$
• λ = $0.8m$

Hence, the wavelength of the wave pulse, λ, calculated is $0.8m$.