Exam 16: Waves I

In the figure, a wave is traveling from left to right. If the point marked "D" represents the origin at time t = 0, and the displacement of the wave is given by y(x,t) = y_msin(kx - $\omega$ t - $\phi$ ), what is the phase constant $\phi$

A string carries a sinusoidal wave with an amplitude of 2.0 cm and a frequency of 100 Hz. The maximum speed of any point on the string is:

A wave on a stretched string is reflected from a fixed end P of the string. The phase difference, at P, between the incident and reflected waves is:

Water waves in the sea are observed to have a wavelength of 300 m and a frequency of 0.07 Hz. The speed of these waves is:

Any point on a string carrying a sinusoidal wave is moving with its maximum speed when:

What is the difference between transverse and longitudinal waves?

Two identical but separate strings, with the same tension, carry sinusoidal waves with the same frequency. Wave A has an amplitude that is twice that of wave B and transmits energy at a rate that is __________ that of wave B.

Three separate strings are made of the same material. String 1 has length L and tension $\tau$ , string 2 has length 2L and tension 2 $\tau$ and string 3 has length 3L and tension 3 $\tau$ . A pulse is started at one end of each string. If the pulses start at the same time, the order in which they reach the other end is:

The displacement of a string carrying a traveling sinusoidal wave is given by At time t = 0 the point at x = 0 has a displacement of 0 and is moving in the positive y direction. The phase constant $\phi$ is:

Which of the following represents the motion of a string element at an antinode of a standing wave?

A string of length L is clamped at each end and vibrates in a standing wave pattern. The wavelengths of the constituent traveling waves CANNOT be:

The displacement of a string is given by y(x,t) = y_msin(kx + $\omega$ t). The speed of the wave 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. How long does it take the wave to travel 2.0 m?

Here are equations for three waves traveling on separate strings. Rank them according to the maximum transverse speed, least to greatest.

Three traveling sinusoidal waves are on identical strings, with the same tension. The mathematical forms of the waves are y₁(x,t) = y_msin(3x - 6t), y₂(x,t) = y_msin(4x - 8t), and y₃(x,t) = y_msin(6x - 12t), where x is in meters and t is in seconds. Match each mathematical form to the appropriate graph below.

When a certain string is clamped at both ends, the lowest four resonant frequencies are 50, 100, 150, and 200 Hz. When the string is also clamped at its midpoint, the lowest four resonant frequencies are:

Sinusoidal water waves are generated in a large ripple tank. The waves travel at 20 cm/s and their adjacent crests are 5.0 cm apart. The time required for each new whole cycle to be generated is:

Which of the following represents a standing wave?

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 amplitude of the wave?

Standing waves are produced by the interference of two traveling sinusoidal waves, each of frequency 100 Hz. The distance from the 2nd node to the 5th node is 60 cm. The wavelength of each of the two original waves is: