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A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m

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Question: A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2020)

Options:

  1. 25 m/s
  2. 50 m/s
  3. 100 m/s
  4. 75 m/s

Correct Answer: 100 m/s

Exam Year: 2020

Solution: 

Speed (v) = frequency (f) × wavelength (λ) = 50 Hz × 2 m = 100 m/s.

A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m

Practice Questions

Q1
A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2020)
  1. 25 m/s
  2. 50 m/s
  3. 100 m/s
  4. 75 m/s

Questions & Step-by-Step Solutions

A wave traveling along a string has a frequency of 50 Hz and a wavelength of 2 m. What is the speed of the wave? (2020)
  • Step 1: Identify the frequency of the wave, which is given as 50 Hz.
  • Step 2: Identify the wavelength of the wave, which is given as 2 m.
  • Step 3: Use the formula for wave speed, which is Speed (v) = frequency (f) × wavelength (λ).
  • Step 4: Substitute the values into the formula: v = 50 Hz × 2 m.
  • Step 5: Calculate the result: 50 × 2 = 100.
  • Step 6: State the speed of the wave, which is 100 m/s.
  • Wave Speed Calculation – The speed of a wave can be calculated using the formula v = f × λ, where v is the speed, f is the frequency, and λ is the wavelength.
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