A wave travels through a medium with a speed of 500 m/s and has a wavelength of

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Question: A wave travels through a medium with a speed of 500 m/s and has a wavelength of 2 m. What is its frequency? (2022)

Options:

Correct Answer: 250 Hz

Exam Year: 2022

Solution:

Using the wave equation v = fλ, we can find frequency f = v/λ = 500 m/s / 2 m = 250 Hz.

A wave travels through a medium with a speed of 500 m/s and has a wavelength of 2 m. What is its frequency? (2022)

A wave travels through a medium with a speed of 500 m/s and has a wavelength of 2 m. What is its frequency? (2022)

Step 1: Identify the given values. The speed of the wave (v) is 500 m/s and the wavelength (λ) is 2 m.
Step 2: Write down the wave equation, which is v = fλ, where f is the frequency.
Step 3: Rearrange the equation to solve for frequency (f). This gives us f = v / λ.
Step 4: Substitute the values into the equation. So, f = 500 m/s / 2 m.
Step 5: Perform the division. 500 divided by 2 equals 250.
Step 6: State the final answer. The frequency of the wave is 250 Hz.

Wave Equation – The relationship between wave speed (v), frequency (f), and wavelength (λ) is given by the equation v = fλ.