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Waves
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Question : 13 of 27
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Given below are some functions of x and t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all : (a) (b) (c) (d)
Solution:
(a) This equation has two harmonic functions of each x and t separately, so it represents stationary wave. (b) This function does not represent any wave as it contains no harmonic function. (c) It represents progressive/travelling harmonic wave as the arguments of cosine and sin functions are same. (d) This equation is the sum of two functions and each representing a stationary wave. Therefore it represents superposition of two stationary waves.
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