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?
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 0.5 kg/m?
20 m/s
10 m/s
5 m/s
15 m/s
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.
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 0.5 kg/m?
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.
Steps: 6
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.
