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Give below are some functions of x and t to represent the displacement of an elastic wave. `(i) ``y=5cos (4x) sin (20t)` (ii) `y=4sin(5x-t//2)+3cos(5x-t//2)` (iii) `y=10cos[(252-250)pit]cos[(252+250pit]` (iv)` y=100cos(100pit+0.5x)` State which of these represent (a) a travelling wave along-x direction (b) a stationary wave (c) beats (d) a travelling wave along `+x` direction Give reasons for your answers.A. a travelling wave along-xdirectionB. a stationary waveC. beatsD. a travelling wave along -xdirection

Answer» The equation `y=100 cos (100pit+0.5x)` is represting a travelling wave along x-direction
(b) The equation `y=5 cos (4x) sin (20t)` represents a stationary wave because it contains sin, cos term i.e. combination of two progressive waves
(c) AS the equation `y=10 cos [(252-250)pit] . cos [(252+250)pit]` involving sum and difference of two near by frequency 252 and 250 have this eqations represents beats formation
(d) As the equation `y=4sin (5x-t//2)+3cos (5x=t//2)` involves negative sing wiht x, have if represents a travelling wae along x-dierection.


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