Which of the following equations correctly describes the wave speed on a string of mass M and length L under tension T?Question 5Select one:a.v=MTL−−−−−√𝑣=𝑀𝑇𝐿b.v=TLM−−−√𝑣=𝑇𝐿𝑀c.v=MTL−−−√𝑣=𝑀𝑇𝐿d.v=M/LT−−−−√
Question
Which of the following equations correctly describes the wave speed on a string of mass M and length L under tension T?Question 5Select one:a.v=MTL−−−−−√𝑣=𝑀𝑇𝐿b.v=TLM−−−√𝑣=𝑇𝐿𝑀c.v=MTL−−−√𝑣=𝑀𝑇𝐿d.v=M/LT−−−−√
Solution
The correct equation that describes the wave speed on a string of mass M and length L under tension T is:
b. v = √(T/(M/L))
This equation is derived from the formula for wave speed on a string, which is the square root of the tension divided by the linear mass density (mass per unit length). In this case, the mass per unit length is M/L.
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