Question

The velocity of wave in a stretched string is proportional to

Answer 1

The square root of the tension in the string.

Answer 2

For a stretched string, the wave velocity is given by

$$v = \sqrt{\frac{T}{\mu}}$$

where:

• $T$ is the tension in the string,
• $\mu$ is the linear mass density of the string.

Thus, the velocity is proportional to the square root of the tension $T$ and inversely proportional to the square root of the linear mass density $\mu$.