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What is the speed of a wave on a string if the tension is 100 N and the mass per

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Question: What is the speed of a wave on a string if the tension is 100 N and the mass per unit length is 2 kg/m?

Options:

  1. 5 m/s
  2. 10 m/s
  3. 15 m/s
  4. 20 m/s

Correct Answer: 10 m/s

Solution: 

The speed of a wave on a string is given by the formula v = sqrt(T/μ), where T is the tension and μ is the mass per unit length. Here, v = sqrt(100/2) = sqrt(50) = 10 m/s.

What is the speed of a wave on a string if the tension is 100 N and the mass per

Practice Questions

Q1
What is the speed of a wave on a string if the tension is 100 N and the mass per unit length is 2 kg/m?
  1. 5 m/s
  2. 10 m/s
  3. 15 m/s
  4. 20 m/s

Questions & Step-by-Step Solutions

What is the speed of a wave on a string if the tension is 100 N and the mass per unit length is 2 kg/m?
Correct Answer: 10 m/s
  • Step 1: Identify the formula for the speed of a wave on a string, which is v = sqrt(T/μ).
  • Step 2: Determine the values for tension (T) and mass per unit length (μ). Here, T = 100 N and μ = 2 kg/m.
  • Step 3: Substitute the values into the formula: v = sqrt(100/2).
  • Step 4: Calculate the value inside the square root: 100 divided by 2 equals 50.
  • Step 5: Find the square root of 50, which is approximately 7.07.
  • Step 6: Round the answer to two decimal places if needed, but the exact value is 7.07 m/s.
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