A. Half of the wavelength
B. Double of the wavelength
C. Full the wavelength
D. Three times the wavelength
A. Half of the wavelength (λ/2)
The distance between two consecutive nodes or anti-nodes in a standing wave is:
A. Half of the wavelength (λ/2)
Here’s why:
- A node is a point in a standing wave where the medium experiences minimal displacement (movement).
- An antinode is a point where the medium experiences maximum displacement.
- In a standing wave, these points alternate regularly.
The distance between a node and the next anti-node (or vice versa) is exactly half the wavelength (λ/2). This is because one full cycle of the wave (from peak to trough and back to peak) corresponds to the wavelength.
The other options are not correct:
- B. Double of the wavelength: This would be the distance between two consecutive antinodes, which is a full wavelength (λ).
- C. Full wavelength: This is the distance between two consecutive peaks (antinodes).
- D. Three times the wavelength: This is not a typical distance between nodes or antinodes in a standing wave.