Please give a thorough explanation and show your work. A student is sending puls
ID: 2037936 • Letter: P
Question
Please give a thorough explanation and show your work.
A student is sending pulses of a transverse sinusoidal wave to the right along a string by whipping it up and down. With the help of a high-speed camera, plots of the displacement y of the wave are produced as shown below. Displacement y as a function of position at time t 0 Displacement y as a function of time at position x-0 2 0 x(m 12345 6 -2 -3 -3 1) Which of the following wave functions describes best the wave? Oy = (2 m)cos(2 t/(1 m)-2m(6 Hz)) Oy (2 m)cos(2rx/(3 m)-2x(1 Hz)t) Oy = (2 m)cos(2w(3 m)-2n(2 Hz)) None of the above Submit You currently have 1 submissions for this question. Only 10 submission are allowed. You can make 9 more submissions for this question.Explanation / Answer
4th option is the correct answer.
from the first picture,
wavelength, lamda = 6 m
Amplitude, A = 2 m
from the second picture,
f = 1 s
so, angular frequency, w = 2*pi*f
= 2*pi*1 rad/s
wave number, k = 2*pi/lamda
= 2*pi/6 rad/m
we know, general experession for displacement,
y = A*sin(kx - w*t)
so,
y = 2*sin(2*pi*x/6 - 2*pi*1*t)
so, 4th option is the correct answer.