Velocity of transverse waves in strings is given by the formula `V=sqrt((T)/(mu))`, where and `mu` are respectively

Options

A. Time period, coefficient of friction
B. tension, mass
C. tension, mass per unit length
D. Time period, mass of per unit length

Answer

To solve the question regarding the formula for the velocity of transverse waves in strings, we will break down the components of the formula step by step.

### Step-by-Step Solution:

1. **Understanding the Formula**:
The formula for the velocity of transverse waves in a string is given by:
\[ V = \sqrt{\frac{T}{\mu}} \]
where \( V \) is the velocity of the wave, \( T \) is the tension in the string, and \( \mu \) is the linear mass density of the string.

2. **Identifying Tension (T)**:
- In this context, \( T \) represents the **tension** in the string.
- Tension is the force exerted along the length of the string that is responsible for the propagation of the wave. It is measured in newtons (N).

3. **Identifying Linear Mass Density (μ)**:
- The symbol \( \mu \) stands for **linear mass density**.
- Linear mass density is defined as the mass per unit length of the string. It can be expressed mathematically as:
\[ \mu = \frac{m}{L} \]
where \( m \) is the mass of the string and \( L \) is its length. The units of linear mass density are typically kilograms per meter (kg/m).

4. **Conclusion**:
- Therefore, in the formula \( V = \sqrt{\frac{T}{\mu}} \):
- \( T \) is the **tension in the string**.
- \( \mu \) is the **linear mass density** (mass per unit length).

### Final Answer:
- \( T \) is the tension in the string.
- \( \mu \) is the linear mass density (mass per unit length).