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1. A sound wave travelling along a string is described byy (x, t) 4 x 10-3 sin (160 x- 6 t)where x, y and t are in SI units. Calculate the (a) amplitude, (b) wavelength, (c) time periodand (d) frequency of the wave.

Answer»

comparing this equation with

y = asin(-wt+kx) ...... w = 6 k= 2π/wavelength = 160.

amplitude is a = 4×10-³ = 4/1000 = 0.004 m

wavelength is = 2π/k = 2π/160 = π/80 m time period is 2π/w = 2π/6 = π/3 s frequency is w/2π = 6/2π = 3/π s-¹



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