Exam 16: Waves I

The displacement of a string carrying a traveling sinusoidal wave is given by At time t = 0 the point at x = 0 has velocity v₀ and displacement y₀. The phase constant $\phi$ is given by tan $\phi$ =:

Two separated sources emit sinusoidal traveling waves that have the same wavelength $\lambda$ and are in phase at their respective sources. One travels a distance to get to the observation point while the other travels a distance The amplitude is a minimum at the observation point if is:

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:

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

A standing wave:

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

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 wave number is:

Two separated sources emit sinusoidal traveling waves that have the same wavelength $\lambda$ and are in phase at their respective sources. One travels a distance to get to the observation point while the other travels a distance The amplitude is a maximum at the observation point if is:

The sum of two sinusoidal traveling waves is a sinusoidal traveling wave only if:

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

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:

A standing wave pattern is established in a string as shown. The wavelength of one of the component traveling waves 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 velocity of 0 and a positive displacement. The phase constant $\phi$ is:

Sinusoidal waves travel on five identical strings. Four of the strings have the same tension, but the fifth has a different tension. Use the mathematical forms of the waves, gives below, to identify the string with the different tension. In the expressions given below x and y are in centimeters and t is in seconds.

When a certain string is clamped at both ends, the lowest four resonant frequencies are measured to be 100, 150, 200, and 250 Hz. One of the resonant frequencies (below 200 Hz) is missing. What is it?

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:

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:

Fully constructive interference between two sinusoidal waves of the same frequency occurs only if they:

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

A sinusoidal wave is generated by moving the end of a string up and down periodically. The generator does not supply any power when the end of the string