Exam 16: Waves I

Two sources, S₁ and S₂, each emit waves of wavelength $\lambda$ in the same medium. The phase difference between the two waves, at the point P shown, is . The quantity $\varepsilon$ is:

A sinusoidal transverse wave is traveling on a string. Any point on the string:

Two traveling waves, y₁ = A sin[k(x - vt)] and y₂ = A sin[k(x + vt)], are superposed on the same string. The distance between the adjacent nodes is:

Two sinusoidal waves, each of wavelength 5 m and amplitude 10 cm, travel in opposite directions on a 20-m stretched string which is clamped at each end. Excluding the nodes at the ends of the string, how many nodes appear in the resulting standing wave?

A 40-cm long string, with one end clamped and the other free to move transversely, is vibrating in its fundamental standing wave mode. If the wave speed is 320 cm/s the frequency is:

A wave is described by y(x,t) = 0.1 sin(3x - 10t), where x is in meters, y is in centimeters and t is in seconds. The angular frequency is:

A transverse traveling sinusoidal wave on a string has a frequency of 100 Hz, a wavelength of 0.040 m and an amplitude of 2.0 mm. The maximum acceleration of any point on the string is:

A source of frequency f sends waves of wavelength $\lambda$ traveling with speed v in some medium. If the frequency is changed from f to 2f, then the new wavelength and new speed are (respectively):

The mathematical forms for the three sinusoidal traveling waves are given by where x is in meters and t is in seconds. Of these waves:

Two sinusoidal waves travel in the same direction and have the same frequency. Their amplitudes are y_1m and y_2m. The smallest possible amplitude of the resultant wave is:

A long string is constructed by joining the ends of two shorter strings. The tension in the strings is the same but string I has 4 times the linear mass density of string II. When a sinusoidal wave passes from string I to string II:

A wave traveling to the right on a stretched string is shown below. The direction of the instantaneous velocity of the point P on the string is:

For a transverse wave on a string the string displacement is described by y(x,t) = f(x-at) where f is a given function and a is a positive constant. Which of the following does NOT necessarily follow from this statement?

A sinusoidal wave is traveling toward the right as shown. Which letter correctly labels the wavelength of the wave?

A string, clamped at its ends, vibrates in three segments. The string is 100 cm long. The wavelength is:

This plot shows the displacement of a string as a function of time, as a sinusoidal wave travels along it. Which letter corresponds to the period of the wave?

The diagram shows three identical strings that have been put under tension by suspending masses of 5 kg each. For which is the wave speed the greatest?

A wave on a string is reflected from a fixed end. The reflected wave:

Fully destructive interference between two sinusoidal waves of the same frequency and amplitude occurs only if they:

Two traveling sinusoidal waves interfere to produce a wave with the mathematical form If the value of $\phi$ is appropriately chosen, the two waves might be: