Question 1

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

Accepted Answer

A) 1/T 
B) 2$\pi$/T 
C) vT 
D) f/T 
E) T/f 
A) 1/T 
B) 2$\pi$/T 
C) vT 
D) f/T 
E) T/f B

Question 2

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 D

Question 3

A standing wave:

Accepted Answer

A) can be constructed from two similar waves traveling in opposite directions 
B) must be transverse 
C) must be longitudinal 
D) has motionless points that are closer than half a wavelength 
E) has a wave velocity that differs by a factor of two from what it would be for a traveling wave 
A) can be constructed from two similar waves traveling in opposite directions 
B) must be transverse 
C) must be longitudinal 
D) has motionless points that are closer than half a wavelength 
E) has a wave velocity that differs by a factor of two from what it would be for a traveling wave A

Question 4

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

Accepted Answer

A) is in phase with the original wave at the end 
B) is 180 °  out of phase with the original wave at the end 
C) has a larger amplitude than the original wave 
D) has a larger speed than the original wave 
E) cannot be transverse 
A) is in phase with the original wave at the end 
B) is 180 °  out of phase with the original wave at the end 
C) has a larger amplitude than the original wave 
D) has a larger speed than the original wave 
E) cannot be transverse

Question 5

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:

Accepted Answer

A) 50 cm 
B) 40 cm 
C) 30 cm 
D) 20 cm 
E) 15 cm 
A) 50 cm 
B) 40 cm 
C) 30 cm 
D) 20 cm 
E) 15 cm

Question 6

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)= ymsin(kx -    t -    ), what is the phase constant

Accepted Answer

A) 0 
B)  $\pi$/6 
C)  $\pi$/4 
D)  $\pi$/2 
E) 3 $\pi$/2 
A) 0 
B)  $\pi$/6 
C)  $\pi$/4 
D)  $\pi$/2 
E) 3 $\pi$/2

Question 7

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

Accepted Answer

A) "2$\pi$  " 
B) "k/   " 
C) "   k" 
D) "2$\pi$/k" 
E) "k/2$\pi$" 
A) "2$\pi$  " 
B) "k/   " 
C) "   k" 
D) "2$\pi$/k" 
E) "k/2$\pi$"

Question 8

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

Accepted Answer

A) the magnitude of its acceleration is a maximum 
B) the magnitude of its displacement is a maximum 
C) the magnitude of its displacement is a minimum 
D) the magnitude of its displacement is half the amplitude 
E) the magnitude of its displacement is one fourth the amplitude 
A) the magnitude of its acceleration is a maximum 
B) the magnitude of its displacement is a maximum 
C) the magnitude of its displacement is a minimum 
D) the magnitude of its displacement is half the amplitude 
E) the magnitude of its displacement is one fourth the amplitude

Question 9

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 10

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?

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 1 and 3 tie 
E) 2 and 3 tie 
A) 1 
B) 2 
C) 3 
D) 1 and 3 tie 
E) 2 and 3 tie

Question 11

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

Accepted Answer

A) 2 
B) 4 
C)    
D) 1/2 
E)    
A) 2 
B) 4 
C)    
D) 1/2 
E)

Question 12

A sinusoidal transverse wave is traveling on a string.Any point on the string:

Accepted Answer

A) moves in the same direction as the wave 
B) moves in simple harmonic motion with a different frequency than that of the wave 
C) moves in simple harmonic motion with the same angular frequency as the wave 
D) moves in uniform circular motion with a different angular speed than the wave 
E) moves in uniform circular motion with the same angular speed as the wave 
A) moves in the same direction as the wave 
B) moves in simple harmonic motion with a different frequency than that of the wave 
C) moves in simple harmonic motion with the same angular frequency as the wave 
D) moves in uniform circular motion with a different angular speed than the wave 
E) moves in uniform circular motion with the same angular speed as the wave

Question 13

Two sinusoidal waves have the same angular frequency, the same amplitude ym, and travel in the same direction in the same medium.If they differ in phase by 50 °  , the amplitude of the resultant wave is given by

Accepted Answer

A) 0.64 ym 
B) 1.3 ym 
C) 0.91 ym 
D) 1.8 ym 
E) 0.35 ym 
A) 0.64 ym 
B) 1.3 ym 
C) 0.91 ym 
D) 1.8 ym 
E) 0.35 ym

Question 14

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 15

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:

Accepted Answer

A) more 
B) less 
C) the same (zero) 
D) the same (non-zero) 
E) sometimes more, sometimes less, and sometimes the same 
A) more 
B) less 
C) the same (zero) 
D) the same (non-zero) 
E) sometimes more, sometimes less, and sometimes the same

Question 16

A long string is constructed by joining the ends of two shorter strings.The tension in the strings is the same but string I has 4 times the linear mass density of string II.When a sinusoidal wave passes from string I to string II:

Accepted Answer

A) the frequency decreases by a factor of 4 
B) the frequency decreases by a factor of 2 
C) the wavelength decreases by a factor of 4 
D) the wavelength decreases by a factor of 2 
E) the wavelength increases by a factor of 2 
A) the frequency decreases by a factor of 4 
B) the frequency decreases by a factor of 2 
C) the wavelength decreases by a factor of 4 
D) the wavelength decreases by a factor of 2 
E) the wavelength increases by a factor of 2

Question 17

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 18

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    is:

Accepted Answer

A) 45° 
B) 90° 
C) 135° 
D) 180° 
E) 270° 
A) 45° 
B) 90° 
C) 135° 
D) 180° 
E) 270°

Question 19

Which of the following represents a standing wave?

Accepted Answer

A) y = (6.0 mm)sin[(3.0 m-1)x + (2.0 s-1)t] - (6.0 mm)cos[(3.0 m-1)x + 2.0] 
B) y = (6.0 mm)cos[(3.0 m-1)x - (2.0 s-1)t] + (6.0 mm)cos[(2.0 s-1)t + (3.0 m-1)x] 
C) y = (6.0 mm)cos[(3.0 m-1)x - (2.0 s-1)t] - (6.0 mm)sin[(2.0 s-1)t - 3.0] 
D) y = (6.0 mm)sin[(3.0 m-1)x - (2.0 s-1)t] - (6.0 mm)cos[(2.0 s-1)t + (3.0 m-1)x] 
E) y = (6.0 mm)sin[(3.0 m-1)x] + (6.0 mm)cos[(2.0 s-1)t] 
A) y = (6.0 mm)sin[(3.0 m-1)x + (2.0 s-1)t] - (6.0 mm)cos[(3.0 m-1)x + 2.0] 
B) y = (6.0 mm)cos[(3.0 m-1)x - (2.0 s-1)t] + (6.0 mm)cos[(2.0 s-1)t + (3.0 m-1)x] 
C) y = (6.0 mm)cos[(3.0 m-1)x - (2.0 s-1)t] - (6.0 mm)sin[(2.0 s-1)t - 3.0] 
D) y = (6.0 mm)sin[(3.0 m-1)x - (2.0 s-1)t] - (6.0 mm)cos[(2.0 s-1)t + (3.0 m-1)x] 
E) y = (6.0 mm)sin[(3.0 m-1)x] + (6.0 mm)cos[(2.0 s-1)t]

Question 20

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

Exam 16: Waves

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

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.

A standing wave:

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

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)= ymsin(kx - t - ), what is the phase constant 11ef007d_9e11_e6f7_bc85_cd56af2ad619_TB6585_11

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

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

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?

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

A sinusoidal transverse wave is traveling on a string.Any point on the string:

Two sinusoidal waves have the same angular frequency, the same amplitude ym, and travel in the same direction in the same medium.If they differ in phase by 50 ° , the amplitude of the resultant wave is given by

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:

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 long string is constructed by joining the ends of two shorter strings.The tension in the strings is the same but string I has 4 times the linear mass density of string II.When a sinusoidal wave passes from string I to string II:

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:

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 is:

Which of the following represents a standing wave?

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:

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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 - t - ), what is the phase constant 11ef007d_9e11_e6f7_bc85_cd56af2ad619_TB6585_11

Two sinusoidal waves have the same angular frequency, the same amplitude y_m, and travel in the same direction in the same medium.If they differ in phase by 50 ° , the amplitude of the resultant wave is given by