# Standing waves are produced by the superposition of two waves with - Standing waves are produced by the superposition of two waves with

What is the difference between standing and travelling waves? What is difference between node and antinode? Depending on the size of the obstacle or rock there is usually more than one of these waves.

To create a standing wave, all you need to do is send a wave train across a confined container against its wall.

Standing waves in air columns also form nodes and antinodes, but the phase changes involved must be separately examined for the case of air columns.

Figure 2: For the fundamental frequency of a standing wave between two fixed ends, the wavelength is double the length of the string.

### Standing waves are produced by the superposition of two waves given by y1 = 0.4 sin 2 pi(t/0.6

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A node is a point along a standing wave where the wave has minimum amplitude.
The resultant wave is their sum: To simplify the expression above we can use the following trigonometric identity: where: Now, substituting into the resultant wave function: The minus sign in the argument of the cosine function has been removed because cosine is an even function.
Standing wave patterns are characterized by certain fixed points along the medium which undergo no displacement.

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Physics (1st Edition) Edit edition Solutions for Chapter 11 Problem 1MCQ: Standing waves are produced by the superposition of two waves with(a) the same amplitude, frequency, and direction of propagation.(b) the same amplitude and frequency, and opposite propagation directions.(c) the same amplitude and direction of propagation, but different frequencies.(d) the same amplitude, different frequencies, and opposite directions of propagation. โฆ
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How will standing waves result from the superposition of two waves? Standing waves are the consequence of the constructive interference of waves that have the same amplitude and frequency but are traveling in opposite directions. Login Study Materials NCERT Solutions NCERT Solutions For Class 12 NCERT Solutions For Class 12 Physics
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Let us say two waves are travelling alone and the displacements of any element of these two waves can be represented by y 1 (x, t) and y 2 (x, t). When these two waves overlap, the resultant displacement can be given as y(x,t). Mathematically, y (x, t) = y 1 (x, t) + y 2 (x, t)
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Standing waves are formed by the superposition of two travelling waves of the same frequency (with the same polarisation and the same amplitude) travelling in opposite directions. This is usually achieved by using a travelling wave and its reflection, which will ensure that the frequency is exactly the same.