A transverse wave on a string has an amplitude of

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

0.040\,\text{m}

, a frequency of

5.0\,\text{Hz}

, and a wavelength of

0.80\,\text{m}

. The wave travels in the

+x

-direction. At

t=0

, the point at

x=0

is at its maximum negative displacement (a trough). Which equation best models the displacement

y(x,t)

in meters? (a)

y=0.040\cos(1.6\pi x-10\pi t+\pi)

(b)

y=0.040\cos(2.5\pi x-10\pi t+\pi)

(c)

y=0.040\cos(2.5\pi x+10\pi t+\pi)

(d)

y=0.040\cos(2.5\pi x-10\pi t+\tfrac{3\pi}{2})