Two sinusoidal waves travel in the same direction and have the same frequency. Their amplitudes are y1m and y2m. The smallest possible amplitude of the resultant wave is:

A) y1m + y2m and occurs when they are 180 $\degree$ out of phase B) $\mid$y1m - y2m$\mid$and occurs when they are 180 $\degree$ out of phase C) y1m + y2m and occurs when they are in phase D) $\mid$y1m - y2m$\mid$ and occurs when they are in phase E) $\mid$y1m - y2m$\mid$ and occurs when they are 90 $\degree$ out of phase A) y1m + y2m and occurs when they are 180 $\degree$ out of phase B) $\mid$y1m - y2m$\mid$and occurs when they are 180 $\degree$ out of phase C) y1m + y2m and occurs when they are in phase D) $\mid$y1m - y2m$\mid$ and occurs when they are in phase E) $\mid$y1m - y2m$\mid$ and occurs when they are 90 $\degree$ out of phase

Exam 16: Waves I

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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?

(Multiple Choice)

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Question 41

Two sinusoidal waves travel in the same direction and have the same frequency. Their amplitudes are y₁_m and y₂_m. The smallest possible amplitude of the resultant wave is:

(Multiple Choice)

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Question 42

The sinusoidal wave y(x,t) = y_msin(kx - $\omega$ t) Is incident on the fixed end of a string at x = L. The reflected wave is given by:

(Multiple Choice)

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Question 43

A stretched string, clamped at its ends, vibrates in its fundamental frequency. To double the fundamental frequency, one can change the string tension by a factor of:

(Multiple Choice)

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Question 44

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

(Multiple Choice)

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Question 45

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.

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Question 46

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:

(Multiple Choice)

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Question 47

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?

(Multiple Choice)

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Question 48

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

(Multiple Choice)

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Question 49

When a string is vibrating in a standing wave pattern the power transmitted across an antinode, compared to the power transmitted across a node, is:

(Multiple Choice)

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Question 50

A sinusoidal wave is generated by moving the end of a string up and down periodically. The generator must supply the greatest power when the end of the string:

(Multiple Choice)

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Question 51

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

(Multiple Choice)

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Question 52

The time required for a small pulse to travel from A to B on a stretched cord shown is NOT altered by changing:

(Multiple Choice)

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Question 53

The displacement of a string is given by y(x,t) = y_msin(kx + $\omega$ t). The speed of the wave is:

(Multiple Choice)

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Question 54

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:

(Multiple Choice)

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Question 55

In the diagram below, the interval PQ represents:

(Multiple Choice)

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Question 56

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:

(Multiple Choice)

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Question 57

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

(Multiple Choice)

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Question 58

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):

(Multiple Choice)

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Question 59

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 in m/s² of any point on the string is:

(Multiple Choice)

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Question 60

Showing 41 - 60 of 71

Exam 16: Waves I

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 travel in the same direction and have the same frequency. Their amplitudes are y1m and y2m. The smallest possible amplitude of the resultant wave is:

The sinusoidal wave y(x,t) = ymsin(kx - ω \omega ω t) Is incident on the fixed end of a string at x = L. The reflected wave is given by:

A stretched string, clamped at its ends, vibrates in its fundamental frequency. To double the fundamental frequency, one can change the string tension by a factor of:

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

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.

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:

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?

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

When a string is vibrating in a standing wave pattern the power transmitted across an antinode, compared to the power transmitted across a node, is:

A sinusoidal wave is generated by moving the end of a string up and down periodically. The generator must supply the greatest power when the end of the string:

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 ϕ\phiϕ is:

The time required for a small pulse to travel from A to B on a stretched cord shown is NOT altered by changing:

The displacement of a string is given by y(x,t) = ymsin(kx + ω \omega ω t). The speed of the wave is:

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:

In the diagram below, the interval PQ represents:

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:

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

A source of frequency f sends waves of wavelength λ\lambdaλ 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):

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 in m/s2 of any point on the string is:

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Two sinusoidal waves travel in the same direction and have the same frequency. Their amplitudes are y₁_m and y₂_m. The smallest possible amplitude of the resultant wave is:

The sinusoidal wave y(x,t) = y_msin(kx - $\omega$ t) Is incident on the fixed end of a string at x = L. The reflected wave is given by:

The displacement of a string is given by y(x,t) = y_msin(kx + $\omega$ t). The speed of the 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):

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 in m/s² of any point on the string is: