Mark out the correct statement (S) e.r.t. wave speed and particle velocity for a transverse travelling mechanical wave on a string.

Options

A. The wave speed is same for the entire wave, while particle velocity is different for different points at a particular instant.
B. wave speed depends upon property of the medium but not on the wave properties.
C. wave speed depends upon both the properties of the medium and on the properties of waves
D. particle velocity depends upon properties of the wave and not on medium properties.

Explanation

To solve the question regarding the correct statement about wave speed and particle velocity for a transverse traveling mechanical wave on a string, we will analyze the statements one by one.

### Step-by-Step Solution:

1. **Understanding Wave Speed and Particle Velocity**:
- Wave speed (v) is the speed at which the wave propagates through the medium. For a transverse wave on a string, this speed is constant for the entire wave.
- Particle velocity refers to the speed at which individual particles of the medium (the string) move as the wave passes. This velocity varies for different particles at a given instant.

2. **Analyzing the Statements**:
- **Statement A**: "Wave speed is the same for the entire wave, while particle velocity is different for different points at a particular instant."
- This statement is **true**. The wave speed is constant, but particle velocities vary depending on their position in the wave.

- **Statement B**: "Wave strength depends on the property of the medium, not on the wave property."
- This statement is **true**. Wave speed is influenced by medium properties such as tension and mass per unit length, not by the wave's frequency or amplitude.

- **Statement C**: "Wave speed depends on both the property of the medium and on the property of the wave."
- This statement is **false**. Wave speed primarily depends on the properties of the medium (like tension and mass density) and not on the wave properties (frequency, amplitude).

- **Statement D**: "Particle velocity depends on the property of the wave."
- This statement is **true**. The particle velocity is indeed influenced by wave properties such as amplitude and frequency.

3. **Conclusion**:
- The correct statements regarding wave speed and particle velocity for a transverse traveling mechanical wave on a string are A, B, and D.

### Final Answer:
The correct statements are A, B, and D.