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A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2

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Question: A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2 m. What is the speed of the wave?

Options:

  1. 1000 m/s
  2. 250 m/s
  3. 500 m/s
  4. 2000 m/s

Correct Answer: 1000 m/s

Solution: 

The speed of a wave is given by the formula v = fλ, where f is the frequency and λ is the wavelength. Here, v = 500 Hz * 2 m = 1000 m/s.

A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2

Practice Questions

Q1
A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2 m. What is the speed of the wave?
  1. 1000 m/s
  2. 250 m/s
  3. 500 m/s
  4. 2000 m/s

Questions & Step-by-Step Solutions

A wave travels through a medium with a frequency of 500 Hz and a wavelength of 2 m. What is the speed of the wave?
  • Step 1: Identify the formula for wave speed, which is v = fλ.
  • Step 2: Understand that 'v' is the speed of the wave, 'f' is the frequency, and 'λ' is the wavelength.
  • Step 3: Substitute the given values into the formula. Here, f = 500 Hz and λ = 2 m.
  • Step 4: Calculate the speed by multiplying the frequency and the wavelength: v = 500 Hz * 2 m.
  • Step 5: Perform the multiplication: 500 * 2 = 1000.
  • Step 6: Conclude that the speed of the wave is 1000 m/s.
  • Wave Speed Calculation – The speed of a wave can be calculated using the formula v = fλ, where v is the speed, f is the frequency, and λ is the wavelength.
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