Two waves moving in the direction on a string are described (in meters) by y_1=0.03…

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

Two waves moving in the

+x

direction on a string are described (in meters) by

y_1=0.03\sin\bigl(4\pi x-20\pi t\bigr),\qquad y_2=0.02\sin\bigl(4\pi x-20\pi t+\pi\bigr).

Determine the resultant displacement of the string at position

x=0.25\,\text{m}

and time

t=0.05\,\text{s}

. (a)

+0.010\,\text{m}

(b)

-0.010\,\text{m}

(c)

0\,\text{m}

(d)

+0.030\,\text{m}