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?
Practice Questions
1 question
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?
5 m/s
10 m/s
15 m/s
20 m/s
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.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
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.
Steps: 6
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.
