Question 1

A harmonic wave travels with a speed of 200 m/s and has a wavelength of 0.800 m. What is the frequency of the wave?

Accepted Answer

A) 25.0 Hz 
B) 40.0 Hz 
C) 125 Hz 
D) 80.0 Hz 
E) 250 Hz 
A) 25.0 Hz 
B) 40.0 Hz 
C) 125 Hz 
D) 80.0 Hz 
E) 250 Hz E

Question 2

What is the period of a wave described by the following function: y(x,t) = (2.00 m)cos[(3.00 m-1)x + (5.00 s-1)t]

Accepted Answer

A) 0.333 s 
B) 0.200 s 
C) 5.00 s 
D) 1.26 s 
E) 2.09 s 
A) 0.333 s 
B) 0.200 s 
C) 5.00 s 
D) 1.26 s 
E) 2.09 s D

Question 3

At a location that is 3.00 m from wave source A and 4.20 m from wave source B, constructive interference occurs. Source A and source B are coherent and in phase. What is the maximum wavelength of the waves?

Accepted Answer

A) 2.40 m 
B) 12.6 m 
C) 0.60 m 
D) 1.20 m 
E) There is no maximum wavelength. 
A) 2.40 m 
B) 12.6 m 
C) 0.60 m 
D) 1.20 m 
E) There is no maximum wavelength. D

Question 4

A wave pulse on a string whose end is fixed is reflected without inversion.

Accepted Answer

A) True 
 B)False

Question 5

Two waves travel simultaneously through the same medium. The first wave is described by y1(x,t) = (2.00 cm)cos[kx-ωt] and the second wave by y2(x,t) = (3.00 cm)cos(kx-ωt+δ). If the resulting wave has an amplitude 4.00 cm, what is a possible value of δ?

Accepted Answer

A) 0.782 rad 
B) 0.250 rad 
C) 0.644 rad 
D) 0.833 rad 
E) 1.32 rad 
A) 0.782 rad 
B) 0.250 rad 
C) 0.644 rad 
D) 0.833 rad 
E) 1.32 rad

Question 6

A wave pulse on a string whose end is free is reflected without inversion.

Accepted Answer

A) True 
 B)False

Question 7

A guitar string is supposed to have a fundamental frequency 256 Hz. It currently has a fundamental frequency 248 Hz. What percentage increase in tension is required to bring the guitar string into tune?

Accepted Answer

A) 3.13% 
B) 6.56% 
C) 1.60% 
D) 6.15% 
E) 3.23% 
A) 3.13% 
B) 6.56% 
C) 1.60% 
D) 6.15% 
E) 3.23%

Question 8

List and describe the two types of interference.

Accepted Answer

If at the instant two pulses overlap, th

Question 9

A wave has an amplitude 20.0 cm, a wavelength 3.00 m, and the wave travels 60.0 m in 12.0 s. What is the frequency of the wave?

Accepted Answer

A) 8.33 Hz 
B) 250 Hz 
C) 0.500 Hz 
D) 1.67 Hz 
E) 150 Hz 
A) 8.33 Hz 
B) 250 Hz 
C) 0.500 Hz 
D) 1.67 Hz 
E) 150 Hz

Question 10

A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thinner and lighter. What is the orientation of the reflected and transmitted pulses?

Accepted Answer

A) both are right side up 
B) the reflected pulse returns right side up while the transmitted pulse is inverted 
C) the reflected pulse returns inverted while the transmitted pulse is right side up 
D) both are inverted 
E) It is impossible to predict. 
A) both are right side up 
B) the reflected pulse returns right side up while the transmitted pulse is inverted 
C) the reflected pulse returns inverted while the transmitted pulse is right side up 
D) both are inverted 
E) It is impossible to predict.

Question 11

FIGURE 15-1  
-In Fig. 15-1, the frequency is

Accepted Answer

A) 0.5 Hz. 
B) 1 Hz. 
C) 2 Hz. 
D) 4 Hz. 
E) cannot be determined from the given information. 
A) 0.5 Hz. 
B) 1 Hz. 
C) 2 Hz. 
D) 4 Hz. 
E) cannot be determined from the given information.

Question 12

A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

Accepted Answer

A) both are right side up 
B) the reflected pulse returns right side up while the transmitted pulse is inverted 
C) the reflected pulse returns inverted while the transmitted pulse is right side up 
D) both are inverted 
E) It is impossible to predict. 
A) both are right side up 
B) the reflected pulse returns right side up while the transmitted pulse is inverted 
C) the reflected pulse returns inverted while the transmitted pulse is right side up 
D) both are inverted 
E) It is impossible to predict.

Question 13

A 2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kN. What is the frequency of the fundamental mode?

Accepted Answer

A) 204 Hz 
B) 102 Hz 
C) 408 Hz 
D) 510 Hz 
E) 153 Hz 
A) 204 Hz 
B) 102 Hz 
C) 408 Hz 
D) 510 Hz 
E) 153 Hz

Question 14

The energy transported by a wave is proportional to the square of the frequency of the wave.

Accepted Answer

A) True 
 B)False

Question 15

FIGURE 15-2    
-Fig. 15-2 shows the displacement of a wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. Determine the wavelength of the wave.

Accepted Answer

A) 2.0 cm 
B) 3.0 m 
C) 2.0 m 
D) 4.0 m 
E) 1.5 m 
A) 2.0 cm 
B) 3.0 m 
C) 2.0 m 
D) 4.0 m 
E) 1.5 m

Question 16

The density of aluminum is 2.7 × 103 kg/m3. The speed of longitudinal waves in an aluminum rod is measured to be 5.1 × 103 m/s. What is the value of Young's modulus for aluminum?

Accepted Answer

A) 7.0 × 1010 N/m2  
B) 7.0 × 107 N/m2  
C) 2.2 × 1011 N/m2  
D) 2.2 × 109 N/m2  
E) 1.4 × 107 N/m2  
A) 7.0 × 1010 N/m2  
B) 7.0 × 107 N/m2  
C) 2.2 × 1011 N/m2  
D) 2.2 × 109 N/m2  
E) 1.4 × 107 N/m2

Question 17

Two waves travel simultaneously through the same medium. The first wave is described by y1(x,t) = Acos(kx-ωt) and the second wave by y2(x,t) = B sin(kx-ωt). If the resulting superposition can be written as y(x,t) = C cos(kx-ωt + π/5), what is the value of A/B?

Accepted Answer

A) sin(π/5) 
B) cos(π/5) 
C) cot(π/5) 
D) sec(π/5) 
E) tan(π/5) 
A) sin(π/5) 
B) cos(π/5) 
C) cot(π/5) 
D) sec(π/5) 
E) tan(π/5)

Question 18

Waves travel along a 100-m length of string with a mass of 55 g, which is held taut by a tension of 75 N. What is the speed of the waves?

Accepted Answer

A) 3700 m/s 
B) 370 m/s 
C) 37 m/s 
D) 0.37 m/s 
E) 3.7 m/s 
A) 3700 m/s 
B) 370 m/s 
C) 37 m/s 
D) 0.37 m/s 
E) 3.7 m/s

Question 19

Two in phase coherent sources emitting harmonic waves of wavelength λ are separated by a distance d. What is the minimum value of d for which destructive interference occurs everywhere along the line that passes through the locations of the two sources?

Accepted Answer

A) λ/2 
B) λ 
C) zero 
D) 2λ 
E) λ/4 
A) λ/2 
B) λ 
C) zero 
D) 2λ 
E) λ/4

Question 20

FIGURE 15-2    
-Fig. 15-2 shows the displacement of a wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. Determine the speed of the wave.

Accepted Answer

A) 3.0 m/s 
B) 0.75 m/s 
C) 0.66 cm/s 
D) 1.5 m/s 
E) 2.00 cm/s 
A) 3.0 m/s 
B) 0.75 m/s 
C) 0.66 cm/s 
D) 1.5 m/s 
E) 2.00 cm/s

Exam 15: Wave Motion

A harmonic wave travels with a speed of 200 m/s and has a wavelength of 0.800 m. What is the frequency of the wave?

What is the period of a wave described by the following function: y(x,t) = (2.00 m)cos[(3.00 m-1)x + (5.00 s-1)t]

At a location that is 3.00 m from wave source A and 4.20 m from wave source B, constructive interference occurs. Source A and source B are coherent and in phase. What is the maximum wavelength of the waves?

A wave pulse on a string whose end is fixed is reflected without inversion.

Two waves travel simultaneously through the same medium. The first wave is described by y1(x,t) = (2.00 cm)cos[kx-ωt] and the second wave by y2(x,t) = (3.00 cm)cos(kx-ωt+δ). If the resulting wave has an amplitude 4.00 cm, what is a possible value of δ?

A wave pulse on a string whose end is free is reflected without inversion.

A guitar string is supposed to have a fundamental frequency 256 Hz. It currently has a fundamental frequency 248 Hz. What percentage increase in tension is required to bring the guitar string into tune?

List and describe the two types of interference.

A wave has an amplitude 20.0 cm, a wavelength 3.00 m, and the wave travels 60.0 m in 12.0 s. What is the frequency of the wave?

A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thinner and lighter. What is the orientation of the reflected and transmitted pulses?

FIGURE 15-1 -In Fig. 15-1, the frequency is

A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

A 2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kN. What is the frequency of the fundamental mode?

The energy transported by a wave is proportional to the square of the frequency of the wave.

FIGURE 15-2 -Fig. 15-2 shows the displacement of a wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. Determine the wavelength of the wave.

The density of aluminum is 2.7 × 103 kg/m3. The speed of longitudinal waves in an aluminum rod is measured to be 5.1 × 103 m/s. What is the value of Young's modulus for aluminum?

Two waves travel simultaneously through the same medium. The first wave is described by y1(x,t) = Acos(kx-ωt) and the second wave by y2(x,t) = B sin(kx-ωt). If the resulting superposition can be written as y(x,t) = C cos(kx-ωt + π/5), what is the value of A/B?

Waves travel along a 100-m length of string with a mass of 55 g, which is held taut by a tension of 75 N. What is the speed of the waves?

Two in phase coherent sources emitting harmonic waves of wavelength λ are separated by a distance d. What is the minimum value of d for which destructive interference occurs everywhere along the line that passes through the locations of the two sources?

FIGURE 15-2 -Fig. 15-2 shows the displacement of a wave at a given position as a function of time and the displacement of the same wave at a given time as a function of position. Determine the speed of the wave.

Introduction, Measurement, Estimating

Describing Motion: Kinematics in One Dimension

Kinematics in Two or Three Dimensions; Vectors

Dynamics: Newtons Laws of Motion

Using Newtons Laws: Friction, Circular Motion, Drag Forces

Gravitation and Newtons6 Synthesis

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Conservation of Energy

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Angular Momentum; General Rotation

Static Equilibrium; Elasticity and Fracture

Fluids

Oscillations

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Temperature, Thermal Expansion, and the Ideal Gas Law

Kinetic Theory of Gases

Heat and the First Law of Thermodynamics

Second Law of Thermodynamics

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Gausss Law

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Maxwells Equations and Electromagnetic Waves

Light: Reflection and Refraction

Lenses and Optical Instruments

The Wave Nature of Light; Interference

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Special Theory of Relativity

Early Quantum Theory and Models of the Atom

Quantum Mechanics

Quantum Mechanics of Atoms

Molecules and Solids

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Nuclear Energy: Efects and Uses of Radiation

Elementary Particle

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Filters

What is the period of a wave described by the following function: y(x,t) = (2.00 m)cos[(3.00 m^-¹)x + (5.00 s^-¹)t]

Two waves travel simultaneously through the same medium. The first wave is described by y₁(x,t) = (2.00 cm)cos[kx-ωt] and the second wave by y₂(x,t) = (3.00 cm)cos(kx-ωt+δ). If the resulting wave has an amplitude 4.00 cm, what is a possible value of δ?

The density of aluminum is 2.7 × 10³ kg/m³. The speed of longitudinal waves in an aluminum rod is measured to be 5.1 × 10³ m/s. What is the value of Young's modulus for aluminum?

Two waves travel simultaneously through the same medium. The first wave is described by y₁(x,t) = Acos(kx-ωt) and the second wave by y₂(x,t) = B sin(kx-ωt). If the resulting superposition can be written as y(x,t) = C cos(kx-ωt + π/5), what is the value of A/B?