We are going to find the resultant wave caused by the interference of two harmonic waves of equal amplitude, frequency and wave length moving in opposite directions along a string.
For any fixed x-value, x 0, the equation above gives us the position of only that point of the string against time: which is precisely the equation describing simple harmonic motion.
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. โฆ
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
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)
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.
Standing waves are produced by the superposition of two waves `y_(1)=0.05 sin (3 pit-2x) and y_(2) = 0.05 sin (3pit+2x)` Where x and y are in metres and t is in second.
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