A transverse wave on a taut string is described by the equation y_i = 3.0

PHYSICS · Subjective · CBSE · Physics · Waves · Waves

Problem

A transverse wave on a taut string is described by the equation

y_i = 3.0\,\text{mm}\;\sin\bigl(120\pi\,t - 4\pi\,x\bigr)

where

x

is in metres and

t

in seconds. The wave travels towards a rigid wall at

x = 0

and is perfectly reflected by it. (a) Write the equation of the reflected wave. (b) Obtain the expression for the resultant displacement

y(x,t)

on the string after reflection. (c) Calculate the instantaneous displacement at the point

x = 0.25\,\text{m}

when

t = 0.020\,\text{s}