Question

How does the speed of waves on a string depend on its mass M, length L, and tension (that is, force) T?

Answer 1

Step-by-step explanation:

The speed of a wave on the string is given by :

`v=\sqrt{(T)/(\mu)}`..........(1)

where

T is the tension force

`\mu` is mass of the string per unit length,
`\mu=(M)/(L)`

M is the mass of the string

L is the length of the string

So, it is clear from equation that the speed of waves on a string is directly proportional to the square root of tension and length of the string. It is inversely proportional to the square root of the mass of the string.