Exam 16: Waves I

A traveling sinusoidal wave is shown below.At which point is the motion 180 $\degree$ out of phase with the motion at point P?

The displacement of a string is given by The wavelength of the wave is:

What are the three main types of waves?

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 ℓ₁ to get to the observation point while the other travels a distance ℓ₂.The amplitude is a minimum at the observation point if ℓ₁ − ℓ₂ is:

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:

For a given medium, the frequency of a wave 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):

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

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

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:

When a 100-Hz oscillator is used to generate a sinusoidal wave on a certain string the wavelength is 10 cm.When the tension in the string is doubled the generator produces a wave with a frequency and wavelength of:

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:

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

Two sinusoidal waves travel along the same string.They have the same wavelength and frequency.Their amplitudes are y_m1 = 2.5 mm and y_m2 = 4.5 mm, and their phases are π/4 rad and π/2 rad, respectively.What are the amplitude and phase of the resultant wave?

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:

Let f be the frequency, v the speed, and T the period of a sinusoidal traveling wave.The angular frequency is given by:

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?

Which of the following represents a standing wave?

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?

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?