1. Two waves are traveling through the same container of nitrogen gas. Wave A has a
wavelength of 1.5 m. Wave B has a wavelength of 4.5 m. The speed of wave B must be________ the speed of wave A.
a. one-ninth
b. one-third
c. the same as
d. three times larger than

2. As the wavelength of a wave in a uniform medium increases, its frequency will _____.
a. decrease
b. increase
c. remain the same

3. The speed of a wave depends upon (i.e., is causally effected by) ...
a) the properties of the medium through which the wave travels
b) the wavelength of the wave.
c) the frequency of the wave.
d) both the wavelength and the frequency of the wave.

Solution Preview

1. The answer is C. The medium is the same for both of these waves ("the same container
of nitrogen gas"). Thus, the speed of the wave will be the same. Alterations in a
property of a wave (such as wavelength) will not ...

Solution Summary

Calculation of the speed of a wave through nitrogen gas. Relationship between wave speed, wave properties, and medium properties.

The equation for a wave moving along a straight wire is: (1) y= 0.5 sin (6 x - 4t)
To look at the motion of the crest, let y = ym= 0.5 m, thus obtaining an equation with only two variables, namely x and t.
a. For y= 0.5, solve for x to get (2) x(t) then take a (partial) derivative of x(t) to get the rate of change of

A wave causes a displacement y that is given in meters according to y=(0.45) sin (8.0 * 3.14t - 3.14x), where t and x are expressed in seconds and meters.
a.) What is the amplitude of the wave?
b.) what is the frequency of the wave?
c.) What is the wavelength of the wave?
d.) What is the speed of the wave?
e.) Is th

The diagrams attached represent the polarization states of light. In each case the wave is traveling along the x-axis in the positive x direction.
i) Which diagram represents linear polarized light at 45 degrees?
ii) Which diagram represents left circular light? Explain.
iii) Which diagram represents un-polarized light?

Uxx means second derivative with respect to x
Uyy means second derivative with respect to y
Uxx + Uyy = 0, 0 < x < pi, 0 < y < 1
Ux(0,y) = 0 = U(pi,y), 0 < y < 1
U(x,0) = 1, U(x,1) = 0, 0 < x < pi
Please show all work including how eigenvalues and eigenvectors are derived.
Thank you

As shown in ATTACHMENT #1, a wave is traveling toward +x on a wire. The motion of a point at x1= .45 m is shown. From the diagram, initial value of y is .12 meters and is increasing so initial slope is positive. The amplitude is .20 m, and the period is .5 sec.
From this information, develop the equation y(x,t) of the wave,

The vertical displacement of a string is given by y(x,t) = (6.00mm) cos[(3.25m to the power of (-1)) x - (7.22 s to the power of (-1))t]. What is the wavelength of the wave?

One end of a long wire under tension is moved up and down sending a wave along it. Assume the wire lies along an x axis with the moving end at the origin. The equation giving displacement y, in meters, of points on the wave is:
(1) y= (.06 m) sin (5 x - 25 t)
a. From given constants, calculate the value and units of the quan

1) Let A(x,y) be the area of a rectangle not degenerated of dimensions x and y, in a way that the rectangle is inside a circle of a radius of 10. Determine the domain and the range of this function.
2) The waveequation (c^2 ∂^2 u / ∂ x^2 = ∂^2 u / ∂ t^2) and the heat equation (c ∂^2 u / ∂

The question attached is from this page.
http://farside.ph.utexas.edu/teaching/em/lectures/node48.html
Please answer with vector notation. The question is only about (450) so I don't believe that you have to read through all of it to answer.