Two wave pulses travel in opposite directions on a string and approch each other. The shape of the one pulse is same with respect to the other

Options

A. the pulses will collide with each other and vanish after collision
B. the pulses will reflect from each other i.e., the pulse going towards right will finally move towards left and vice versa.
C. the pulse will pass through each other but their shapes will be modified
D. the pulse will pass through each other without any change in their shape

Explanation

To solve the problem of two wave pulses traveling in opposite directions on a string and approaching each other, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Wave Pulses**:
- A wave pulse is a disturbance that travels through a medium (in this case, a string). When two wave pulses travel towards each other, they can interact.

2. **Behavior of Wave Pulses**:
- When two wave pulses meet, they will overlap temporarily. However, according to the principle of superposition, the resultant displacement at any point on the string is the sum of the displacements due to each pulse.

3. **Superposition Principle**:
- The superposition principle states that when two or more waves meet, the total displacement is the algebraic sum of the individual displacements. This means that the shapes of the pulses will not change during the interaction.

4. **Passing Through Each Other**:
- After the pulses have passed through each other, they will continue to travel in their respective directions without any change in their shape or speed. This is a key characteristic of wave behavior.

5. **Conclusion**:
- Therefore, the correct statement regarding the behavior of the wave pulses is that they will pass through each other without any change in shape.

### Final Answer:
The correct option regarding the behavior of the wave pulses is **Option D**: They pass through each other without any change in shape.