At , a point on a string located at is passing upward through its equilibrium…

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

Problem

t=0

, a point on a string located at

x=0

is passing upward through its equilibrium position. Exactly

0.10\,\text{s}

later, the same point reaches its maximum positive displacement of

0.030\,\text{m}

. The wave travels toward the

-x

-direction with a frequency of

2.5\,\text{Hz}

and a wavelength of

1.2\,\text{m}

. Which of the following equations best models the displacement

y(x,t)

in meters? (a)

y=0.030\sin\!\left(5\pi x+5\pi t\right)

(b)

y=0.030\cos\!\left(\dfrac{5\pi}{3}x+5\pi t\right)

(c)

y=0.030\sin\!\left(\dfrac{5\pi}{3}x+5\pi t\right)

(d)

y=0.030\sin\!\left(\dfrac{5\pi}{3}x-5\pi t\right)