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A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its fr

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Question: A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its frequency? (2018)

Options:

  1. 25 Hz
  2. 50 Hz
  3. 100 Hz
  4. 75 Hz

Correct Answer: 25 Hz

Solution: 

Frequency f = v/λ = 50 m/s / 2 m = 25 Hz.

A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its fr

Practice Questions

Q1
A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its frequency? (2018)
  1. 25 Hz
  2. 50 Hz
  3. 100 Hz
  4. 75 Hz

Questions & Step-by-Step Solutions

A wave on a string has a speed of 50 m/s and a wavelength of 2 m. What is its frequency? (2018)
  • Step 1: Identify the speed of the wave (v). In this case, it is 50 m/s.
  • Step 2: Identify the wavelength (λ) of the wave. Here, it is 2 m.
  • Step 3: Use the formula for frequency (f), which is f = v / λ.
  • Step 4: Substitute the values into the formula: f = 50 m/s / 2 m.
  • Step 5: Calculate the frequency: 50 divided by 2 equals 25.
  • Step 6: Conclude that the frequency of the wave is 25 Hz.
  • Wave Properties – Understanding the relationship between wave speed, wavelength, and frequency, which is given by the formula f = v/λ.
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