The gap between two successive nodes in a stationary wave is _____. (a) λ/2 (b) λ (c) 2λ (d) λ/4

By Ritesh|Updated : November 2nd, 2022

The gap present between two successive nodes is λ/2 in a stationary wave. A wave is a dynamic disturbance of many quantities. It can be periodic in which the quantities continuously oscillate about an equilibrium value to some arbitrary frequency.

Successive Nodes in Stationary Wave

Stationary or Standing Waves: A new set of waves is created when two sets of progressive wave trains of a similar type (both transverse or longitudinal), with the same amplitude, time period, frequency, and wavelength, superimpose while moving at the same speed in the same straight line and in the opposite directions. These are referred to as standing waves or stationary waves.

Nodes (N): Nodes are the locations where the amplitude is the smallest. It takes two nodes to reach another node, or /2. Nodes remain at rest all the time. Air pressure and density are both quite high at nodes.

Antinodes (A): Antinodes are the locations of the highest amplitudes. It takes two nodes to reach another node, or /2. Air density and pressure are both low at nodes. Antinodes (A) that are next to a node (N) are separated by a distance of λ/4. The distance of two successive notes is λ/2 in a stationary wave.

Summary:

The gap between two successive nodes in a stationary wave is _____. (a)λ/2 (b)λ (c)2λ (d) λ/4

In a stationary wave, the distance of any two subsequent nodes is λ/2. A stationary wave is created when a wave train hits a boundary and is reflected. The reflected and incident waves then collide to create a stationary wave.

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