11.1.2 A Wave on a Rope: Frequency and Wavelength Flashcards
Which of the following describes the position of a traveling wave at x = 0 using y(x,t) = a cos (kx-wt)?
y(0,t) = Acos wt
A traveling wave has an angular frequency of 20 cycles / s. Which of the following is the frequency f of the wave?
10/pi cycles/s
Suppose a wave on a string has velocity v. How is the wavelength affected if the frequency is doubled?
The wavelength is halved.
The following figure describes the time evolution of a sinusoidal wave. The y-axis traces the amplitude of a single point on the wave. Which of the following is equal to its wavelength?
It cannot be determined from the given figure
Consider a rope that is tied to a mass attached to a spring executing simple harmonic motion. This generates a wave in the rope. Which of the following is not correct? (Assume the spring has no damping.)
For a fixed frequency, the wavelength of the wave depends on the motion of the spring.
The wavelength of a periodic traveling wave is the distance between ____
- two consecutive crests
- two consecutive troughs
- Points P1 and P2
How is the period T of a wave affected if its frequency f increases?
The period T decreases.
The figure provides the basic properties of a traveling wave. Which of the following is the amplitude of the wave at x = 3m and t = 10s?
y(3,10) = 0.25 cos[2pi(3 - 5 * 10]
The amplitude, A, of a wave depends on its wavelength.
false
