A transverse wave propagating through a stretched string has a frequency of 250\text{ Hz} … — JAMB UTME

A transverse wave propagating through a stretched string has a frequency of $250\text{ Hz}$ and a wavelength of $1.4\text{ m}$ . What is the speed of propagation of the wave in $\text{m/s}$ ?

Answer: 350 m/s

Answer

The speed of propagation of the wave is

350\text{ m/s}

The speed of propagation of a progressive wave is determined using the wave equation

v = f \lambda

. Substituting the given values

f = 250\text{ Hz}

and

\lambda = 1.4\text{ m}

gives

v = 250 \times 1.4 = 350\text{ m/s}

Step-by-Step Solution

Identify the given physical quantities

Frequency

f = 250\text{ Hz}

, Wavelength

\lambda = 1.4\text{ m}

These parameters are required to calculate the speed of propagation.

Apply the fundamental wave equation

v = f \lambda

The speed of a progressive wave equals the product of its frequency and its wavelength.

Perform the numerical calculation

v = 250 \times 1.4 = 350\text{ m/s}

Multiplying

250\text{ Hz}

1.4\text{ m}

yields the wave velocity in meters per second.

Key Concept

Wave Propagation Speed Equation (

v = f \lambda

)

Question

Answer

Step-by-Step Solution

Key Concept

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