Question 1

Suppose the maximum speed of a string carrying a sinusoidal wave is vs.When the displacement of a point on the string is half its maximum, the speed of the point is:

Accepted Answer

A) vs/2 
B) 2vs 
C) vs/4 
D) 3vs/4 
E)  vs/2 
A) vs/2 
B) 2vs 
C) vs/4 
D) 3vs/4 
E)  vs/2

Question 2

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 velocity of any point on the string is:

Accepted Answer

A) 0.20 m/s 
B) 1.3 m/s 
C) 4.0 m/s 
D) 15 m/s 
E) 25 m/s 
A) 0.20 m/s 
B) 1.3 m/s 
C) 4.0 m/s 
D) 15 m/s 
E) 25 m/s

Question 3

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

Accepted Answer

A) has its least acceleration 
B) has its greatest displacement 
C) has half its greatest displacement 
D) has one fourth its greatest displacement 
E) has its least displacement 
A) has its least acceleration 
B) has its greatest displacement 
C) has half its greatest displacement 
D) has one fourth its greatest displacement 
E) has its least displacement

Question 4

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 maximum at the observation point if ℓ1 − ℓ2 is:

Accepted Answer

A) an odd multiple of $\lambda$/2 
B) an odd multiple of $\lambda$/4 
C) a multiple of $\lambda$ 
D) an odd multiple of  $\pi$/2 
E) a multiple of  $\pi$ 
A) an odd multiple of $\lambda$/2 
B) an odd multiple of $\lambda$/4 
C) a multiple of $\lambda$ 
D) an odd multiple of  $\pi$/2 
E) a multiple of  $\pi$

Question 5

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

Accepted Answer

A) A 
B) B 
C) C 
D) D 
E) E 
A) A 
B) B 
C) C 
D) D 
E) E

Question 6

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?

Accepted Answer

A) 25 Hz 
B) 50 Hz 
C) 75 Hz 
D) 125 Hz 
E) 225 Hz 
A) 25 Hz 
B) 50 Hz 
C) 75 Hz 
D) 125 Hz 
E) 225 Hz

Question 7

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:

Accepted Answer

A) wave 1 has the greatest wave speed and the greatest maximum transverse string speed 
B) wave 2 has the greatest wave speed and wave 1 has the greatest maximum transverse string speed 
C) wave 3 has the greatest wave speed and the greatest maximum transverse string speed 
D) wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed 
E) wave 3 has the greatest wave speed and wave 2 has the greatest maximum transverse string speed 
A) wave 1 has the greatest wave speed and the greatest maximum transverse string speed 
B) wave 2 has the greatest wave speed and wave 1 has the greatest maximum transverse string speed 
C) wave 3 has the greatest wave speed and the greatest maximum transverse string speed 
D) wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed 
E) wave 3 has the greatest wave speed and wave 2 has the greatest maximum transverse string speed

Question 8

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:

Accepted Answer

A) 0 rad 
B) " $\pi$ rad" 
C) " $\pi$/2 rad" 
D) "depends on the velocity of the wave" 
E) "depends on the frequency of the wave" 
A) 0 rad 
B) " $\pi$ rad" 
C) " $\pi$/2 rad" 
D) "depends on the velocity of the wave" 
E) "depends on the frequency of the wave"

Question 9

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:

Accepted Answer

A) "the distance S1S2" 
B) "the angle S1PS2 
C) " $\pi$/2" 
D) "the phase difference between the two sources" 
E) "zero for transverse waves,  $\pi$ for longitudinal waves" 
A) "the distance S1S2" 
B) "the angle S1PS2 
C) " $\pi$/2" 
D) "the phase difference between the two sources" 
E) "zero for transverse waves,  $\pi$ for longitudinal waves"

Question 10

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:

Accepted Answer

A) 0 m/s2 
B) 200 m/s2 
C) 390 m/s2 
D) 790 m/s2 
E) 1600 m/s2 
A) 0 m/s2 
B) 200 m/s2 
C) 390 m/s2 
D) 790 m/s2 
E) 1600 m/s2

Question 11

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

Accepted Answer

A) 33 cm 
B) 67 cm 
C) 150 cm 
D) 300 cm 
E) need to know the frequency 
A) 33 cm 
B) 67 cm 
C) 150 cm 
D) 300 cm 
E) need to know the frequency

Question 12

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:

Accepted Answer

A) 100 s 
B) 4.0 s 
C) 2.0 s 
D) 0.5 s 
E) 0.25 s 
A) 100 s 
B) 4.0 s 
C) 2.0 s 
D) 0.5 s 
E) 0.25 s

Question 13

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:

Accepted Answer

A) has its greatest acceleration 
B) has its greatest displacement 
C) has half its greatest displacement 
D) has one fourth its greatest displacement 
E) has its least displacement 
A) has its greatest acceleration 
B) has its greatest displacement 
C) has half its greatest displacement 
D) has one fourth its greatest displacement 
E) has its least displacement

Question 14

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.At time t = 0, the point at x = 0 has a vertical displacement y = 0.0 cm.When is its displacement equal to 0.1 cm?

Accepted Answer

A) 0.16 s 
B) 0.47 s 
C) 2.5 s 
D) 7.5 s 
E) 10 s 
A) 0.16 s 
B) 0.47 s 
C) 2.5 s 
D) 7.5 s 
E) 10 s

Question 15

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

Accepted Answer

A) y1: i, y2: ii, y3: iii 
B) y1: iii, y2: ii, y3: i 
C) y1:i, y2: iii, y3: ii 
D) y1: ii, y2: i, y3: iii 
E) y1: iii, y2: i, y3: ii 
A) y1: i, y2: ii, y3: iii 
B) y1: iii, y2: ii, y3: i 
C) y1:i, y2: iii, y3: ii 
D) y1: ii, y2: i, y3: iii 
E) y1: iii, y2: i, y3: ii

Question 16

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.

Accepted Answer

A) half 
B) twice 
C) one-fourth 
D) four times 
E) eight times 
A) half 
B) twice 
C) one-fourth 
D) four times 
E) eight times

Question 17

The displacement of an element of a string is given by y(x,t)= 4.3sin(1.2x - 4.7t - π/3), with x in meters and t in seconds.Given that , what is v?

Accepted Answer

A) 0.065 m/s 
B) 0.25 m/s 
C) 2.0 m/s 
D) 3.9 m/s 
E) 15 m/s 
A) 0.065 m/s 
B) 0.25 m/s 
C) 2.0 m/s 
D) 3.9 m/s 
E) 15 m/s

Question 18

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:

Accepted Answer

A) 32 Hz 
B) 16 Hz 
C) 8 Hz 
D) 4 Hz 
E) 2 Hz 
A) 32 Hz 
B) 16 Hz 
C) 8 Hz 
D) 4 Hz 
E) 2 Hz

Question 19

A transverse wave travels on a string of length 1.3 m and diameter 1.1 mm, whose mass is 10 g and which is under a tension of 16 N.What is the linear mass density of the string?

Accepted Answer

A) 7.7 x 10-3 kg/m 
B) 0.13 kg/m 
C) 7.7 kg/m 
D) 46 kg/m 
E) 130 kg/m 
A) 7.7 x 10-3 kg/m 
B) 0.13 kg/m 
C) 7.7 kg/m 
D) 46 kg/m 
E) 130 kg/m

Question 20

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:

Accepted Answer

A) 45$\degree$ 
B) 90$\degree$ 
C) 135$\degree$ 
D) 180$\degree$ 
E) 270$\degree$ 
A) 45$\degree$ 
B) 90$\degree$ 
C) 135$\degree$ 
D) 180$\degree$ 
E) 270$\degree$

Exam 16: Waves I

Suppose the maximum speed of a string carrying a sinusoidal wave is vs.When the displacement of a point on the string is half its maximum, the speed of the point 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 velocity of any point on the string is:

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

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

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?

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:

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:

Two sources, S1 and S2, each emit waves of wavelength λ\lambdaλ in the same medium.The phase difference between the two waves, at the point P shown, is .The quantity ε\varepsilonε 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 string, clamped at its ends, vibrates in three segments.The string is 100 cm long.The wavelength 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:

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:

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.At time t = 0, the point at x = 0 has a vertical displacement y = 0.0 cm.When is its displacement equal to 0.1 cm?

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.

The displacement of an element of a string is given by y(x,t)= 4.3sin(1.2x - 4.7t - π/3), with x in meters and t in seconds.Given that , what is v?

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 transverse wave travels on a string of length 1.3 m and diameter 1.1 mm, whose mass is 10 g and which is under a tension of 16 N.What is the linear mass density 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 velocity of 0 and a positive displacement.The phase constant ϕ\phiϕ is:

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Suppose the maximum speed of a string carrying a sinusoidal wave is v_s.When the displacement of a point on the string is half its maximum, the speed of the point is: