Question

A standing wave on a string 1.5 m long with both ends fixed has three antinodes. If the frequency of the wave is 200 Hz, what is the speed of the wave on the string?

Answer 1

Answer:

200 m/s

Explanation:

We are given that

Length of string=L=1.5 m

Number of antinodes=n=3

Frequency of the wave=f=200 Hz

The relation between the length and wavelength

$L=\frac{n}{2}\lambda$

Using the formula

$1.5=\frac{3}{2}\lambda$

$\lambda=\frac{1.5\times 2}{3}=1 m$

The relation between the velocity,frequency and wavelength

$v=f\lambda$

Using the formula

$v=200\times 1=200m/s$

Hence, the speed of the wave on the string=200 m/s

Answer 2

Answer:

Explanation:

Length of the string, L = 1.5 m

number of antinodes, n = 3

Frequency, f  200 Hz

L = nλ/2

1.5 = 3 x λ / 2

λ = 1 m

v = f x λ

v = 200 x 1

v = 200 m/s