Wave on a String

Wave on a String

### Formula

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

### Terminologies

- v → Wave velocity.

- T → Tension in string.

- μ → Linear mass density.

### Linear Mass Density

$$\mu=\frac{m}{L}$$

### SI Unit

$$kg/m$$

### Conditions / Special Cases

- Velocity increases with tension.

$$v\propto\sqrt T$$

- Velocity decreases with mass density.

$$v\propto\frac{1}{\sqrt\mu}$$

### Usage

- Used in string vibration problems.