Can you express a quantitative method for describing the variation in wave size?

Solution Summary

This solution identifies and discusses a quantitative method for describing the variation in wave size. References and extra resources are also provided.

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 inc

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

Consider a point source of light. How would the intensity of light vary with distance from the source according to a) wave theory and b) particle or photon theory? Explain.

A water wave is called a deep-water wave if the water's depth is more than 1/4 of the wavelength. The speed of a deep water wave depends on its wavelength:
v = sqrt((g.lambda)/2pi).
Longer wavelengths travel faster. Let's apply to this to a standing wave. Consider a diving pool that is 5.0 m deep and 10.0 m wide. Standing w

Some parameters which all traveling waves have include its wavelength (lambda), period T, wave speed v, amplitude ym, etc. ATTACHMENT #1 is a diagram of a typical wave, a sine curve, with points A, B, etc. identifying various points and lengths of a wave.
PART a. On ATTACHMENT #1, in the spaces shown after the parameters listed

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

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?

(See attached file for full problem description)
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20.25
Part A : At 20 degree C, what is the frequency of a sound wave in air with a wavelength of 17.0 cm ?
Part B : What is the frequency of an electromagnetic wave with a wavelength of 17.0 cm ?
Part C : What would be the wavelength of a sound wave in water t

A person lying on an air mattress in the ocean rises and falls through one complete cycle every 5.5 seconds. The crests of the wave causing the motion are 21.0 m apart.
(a) Determine the frequency of the wave.
(b) Determine the speed of the wave.