A travelling wave is passing along a string in the positive $x$ -direction with a wave speed of $20 \text{ cm s}^{-1}$ . The transverse displacements of the particles of the string at $t = 0$ are plotted in the associated figure. Determine the frequency of the wave.

Question

A travelling wave is passing along a string in the positive

x

-direction with a wave speed of

20 \text{ cm s}^{-1}

. The transverse displacements of the particles of the string at

t = 0

are plotted in the associated figure. Determine the frequency of the wave.
A travelling wave is passing along a string in the positive x -direction with a wave speed of 20 cm s^ -1 . The

A travelling wave is passing along a string in the positive x -direction with a wave speed of 20 cm s^ -1 . The

Quantrex Academy · Accepted Answer

Correct answer: A. 5 Hz

From the given displacement-position graph at

t = 0

, the wave completes one full cycle over a distance of

4 \text{ cm}

. Thus, the wavelength of the wave is

\lambda = 4 \text{ cm}

.

The wave speed is given as

v = 20 \text{ cm s}^{-1}

.

The frequency

f

of the wave is related to the wave speed and wavelength by the formula:

v = f \lambda

Substituting the given values, we get:

f = \dfrac{v}{\lambda} = \dfrac{20 \text{ cm s}^{-1}}{4 \text{ cm}} = 5 \text{ Hz}

A travelling wave is passing along a string in the positive x...

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