In a standing wave, what is the distance between two consecutive nodes?

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Question: In a standing wave, what is the distance between two consecutive nodes?

Options:

Correct Answer: λ/2

Solution:

The distance between two consecutive nodes in a standing wave is λ/2.

In a standing wave, what is the distance between two consecutive nodes?

In a standing wave, what is the distance between two consecutive nodes?

Step 1: Understand what a standing wave is. A standing wave is a wave that appears to be stationary, created by the interference of two waves traveling in opposite directions.
Step 2: Identify what nodes are. Nodes are points in a standing wave where there is no movement; they stay at rest.
Step 3: Know what wavelength (λ) is. Wavelength is the distance between two consecutive peaks (or troughs) of a wave.
Step 4: Realize that in a standing wave, the distance between two consecutive nodes is half of the wavelength.
Step 5: Therefore, the distance between two consecutive nodes is λ/2.

Standing Waves – A standing wave is formed by the interference of two waves traveling in opposite directions, resulting in fixed points called nodes where there is no movement.
Nodes and Antinodes – Nodes are points in a standing wave where the wave has zero amplitude, while antinodes are points where the amplitude is at its maximum.
Wavelength – The wavelength (λ) is the distance between two consecutive points that are in phase, such as two consecutive nodes or antinodes.