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8. Standing waves are produced by thesuperposition of two wavesy, -0.05 sin(3rt - 2x)andy, -0.05 sin(3xt + 2x), where x and y areexpressed in metres and t' is in seconds.Then the amplitude of the particle at x = 0.5m is(a) 2.7 cm(b) 5.4 cm(c) 9.98 cm(d) 0.10 cm

Answer»

b. 5.4 cm x 10 -2 mresultant displacement = y1 + y2= .05 [sin(3nt-2x) + sin (3nt + 2x)]y= .05 x 2 sin (3nt) cos {(-4x) / 2} from (1), y = .1 cos 2x * sin 3nt



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