A sinusoidal wave of amplitude travels along a stretched string in the -direction…

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

Problem

A sinusoidal wave of amplitude

0.050\,\text{m}

travels along a stretched string in the

+x

-direction with a speed of

12\,\text{m\,s}^{-1}

and a frequency of

6.0\,\text{Hz}

. At

t=0

, the point at

x=0

is at its maximum positive displacement (a crest). Which equation gives the displacement

y(x,t)

in meters? (a)

y=0.050\cos(\pi x+12\pi t)

(b)

y=0.050\cos(2\pi x-12\pi t)

(c)

y=0.050\cos(\pi x-12\pi t)

(d)

y=0.050\sin(\pi x-12\pi t)