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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 0.5 kg/m?

Options:

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

Correct Answer: 20 m/s

Solution: 

The speed v of a wave on a string is given by v = √(T/μ), where T is the tension and μ is the mass per unit length. Here, v = √(100/0.5) = √200 = 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 0.5 kg/m?
  1. 20 m/s
  2. 10 m/s
  3. 5 m/s
  4. 15 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 0.5 kg/m?
Correct Answer: 10 m/s
  • Step 1: Identify the formula for the speed of a wave on a string, which is v = √(T/μ).
  • Step 2: Determine the values for tension (T) and mass per unit length (μ). Here, T = 100 N and μ = 0.5 kg/m.
  • Step 3: Substitute the values into the formula: v = √(100/0.5).
  • Step 4: Calculate the division inside the square root: 100 divided by 0.5 equals 200.
  • Step 5: Now, find the square root of 200: √200.
  • Step 6: Calculate √200, which is approximately 10 m/s.
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