Physics

Problem

A 100 Hz sinusoidal wave is travelling in the positive

x

-direction along a string with a linear mass density of

3.5 \times 10^{-3}

kg/m and a tension of 35 N. At time

t = 0

, the point

x = 0

, has maximum displacement in the positive

y

-direction. Next when this point has zero displacement, the slope of the string is

\pi/20

. Which of the following expression represent (s) the displacement of string as a function of

x

(in metre) and

t

(in second) a.

y = 0.025 \cos (200\pi t - 2\pi x)

y = 0.5 \cos (200\pi t - 2\pi x)

y = 0.025 \cos (100\pi t - 10\pi x)

y = 0.5 \cos (100\pi t - 10\pi x)