Ncert Exercises & Solutions

Given 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) $πt] \cos [(252 + 250) πt]$
(iv) y = 100cos( $100 πt + 0.5 x)$
State which of these represent
(a) a travelling wave along the -x-direction
(b) a stationary wave
(c) beats
(d) a travelling wave along the +x-direction
Give reasons for your answers.

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