In the above question,if both are in opposite direction. Then the velocity of the pulse w.r.t. to groun will be:

Options

A. `omegaL`
B. `(omegaL)/2(pi)`
C. `(omegaL)/(pi)`
D. 0

Explanation

To solve the problem of finding the velocity of the pulse with respect to the ground when two waves are moving in opposite directions, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Problem**: We have two waves (let's call them Wave A and Wave B) moving in opposite directions. We need to find the velocity of the pulse created by these waves with respect to the ground.

2. **Define the Velocities**: Let the velocity of Wave A be \( v_A \) and the velocity of Wave B be \( v_B \). Since they are moving in opposite directions, we can denote their velocities as positive and negative respectively. For example, if Wave A moves to the right, we can write:
\[ v_A = +v \]
\[ v_B = -v \]

3. **Relative Velocity Concept**: The velocity of the pulse with respect to the ground is the vector sum of the velocities of the two waves. Since they are moving in opposite directions, we can express the velocity of the pulse \( v_{pulse} \) as:
\[ v_{pulse} = v_A + v_B \]

4. **Substituting the Values**: Substituting the values of \( v_A \) and \( v_B \) into the equation:
\[ v_{pulse} = v + (-v) = 0 \]

5. **Conclusion**: The velocity of the pulse with respect to the ground is:
\[ v_{pulse} = 0 \]
This means that the pulse does not move with respect to the ground when both waves are moving in opposite directions at the same speed.

### Final Answer:
The velocity of the pulse with respect to the ground is **0**.