The distance between two consecutive antinodes is

Options

A. `(lambda)/(4)`
B. `(lambda)/(2)`
C. `lambda`
D. `2lambda`

Answer

To find the distance between two consecutive antinodes in a standing wave, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Standing Waves**:
- Standing waves are formed by the interference of two waves traveling in opposite directions. They have points called nodes (where there is no movement) and antinodes (where the maximum movement occurs).

2. **Identifying Antinodes and Nodes**:
- In a standing wave, the points of maximum displacement are called antinodes, while the points of zero displacement are called nodes. For example, if we label the points in a standing wave as A, B, C, D, and E, where A and D are antinodes, and B, C, and E are nodes.

3. **Distance Between Antinodes**:
- The distance between two consecutive nodes is half the wavelength (λ/2). Since an antinode is located between two nodes, the distance between two consecutive antinodes is equal to the distance between two consecutive nodes.

4. **Calculating the Distance**:
- Therefore, the distance between two consecutive antinodes is equal to the wavelength (λ). This is because there is one full wavelength between two consecutive antinodes.

5. **Conclusion**:
- The distance between two consecutive antinodes in a standing wave is equal to the wavelength (λ).

### Final Answer:
The distance between two consecutive antinodes is equal to the wavelength (λ).

---