Question

Consider a standing wave on a string. What is the distance between two adjacent nodes in terms of the wavelength λ of the standing wave?.

Answer 1

The distance between the two adjacent nodes = λ/2.

What is Wavelength?

• The length over which a wave's shape repeats is known as its spatial period, or wavelength.
• It is a characteristic of various spatial wave patterns as well as travelling and standing waves. It is the separation between two consecutive positions on a wave that correspond to the same phase, such as two close-by crests, troughs, or zero crossings.
• The reciprocal of wavelength is the spatial frequency. Wavelength is usually denoted by the Greek letter lambda (λ).
• Sometimes, modulated waves, their sinusoidal envelopes, or waves generated by the interference of several sinusoids are all referred to by the term wavelength.

The distance between the two adjacent nodes = λ/2.

for the standing wave ,the distance between any two adjacent nodes or antinodes is 1/2 λ.

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