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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 y = cos x sin t + cos 2x sin 2t - Physics

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प्रश्न

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 traveling wave, (ii) a stationary wave or (iii) none at all:

y = cos x sin t + cos 2x sin 2t

थोडक्यात उत्तर
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उत्तर

The given equation represents a stationary wave because the harmonic terms kxand ωt appear separately in the equation. This equation actually represents the superposition of two stationary waves.

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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 traveling wave, (ii) a stationary wave or (iii) none at all:

`"y" = 2sqrt(x - "vt")`


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