wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Phase Difference, superposition and standing waves

Total questions: 70

Worksheet time: 1hrs 27mins

Name
Class
Date
1.
a)

2 waves are in phase so they show constructive interference

b)

2 waves are out of phase so they so destructive interference

c)

2 waves are in phase so diffraction is happening

d)

2 waves are out of phase so diffraction is happening

2.
a)

2 waves are in phase so they show constructive interference

b)

2 waves are out of phase so they so destructive interference

c)

2 waves are in phase so diffraction is happening

d)

2 waves are out of phase so diffraction is happening

3.

Which points are in phase?

a)

A D F

b)

O D F

c)

C D E

d)

A C

4.

Which points are in out of phase?

a)

A and C

b)

O and C

c)

D and F

d)

C and E

5.

What is/are the phase difference between points O and D?

a)

0 rad

b)

2π rad

c)

π rad

d)

π/2 rad

6.

What is/are the phase difference between O and F?

a)

2π2\pi

b)

π\pi

c)

0

d)

4π

7.

What is the phase difference between B and C?

a)

2π2\pi

b)

π\pi

c)

π2\frac{\pi}{2}

d)

π4\frac{\pi}{4}

8.

The graph shows the variation of displacement y with distance x along a progressive wave at one instant in time. What is the phase difference between points P and Q on the wave?

a)

90°90\degree

b)

270°270\degree

c)

540°540\degree

d)

630°630\degree

9.

What is the approximate phase difference between the waves shown?

a)

2π

b)

3 π/2

c)

π

d)

π/2

10.

What is the phase difference between the two waves in the picture?

a)

180o

b)

0o

c)

90o

d)

45o

11.

A displacement-time graph for a transverse wave is shown in the diagram.

The phase difference between X and Y can be expressed as nπ.

What is the value of n?

a)

3.0

b)

1.5

c)

2.5

d)

6.0

12.

What is the phase difference between two points 30cm apart if the wavelength is 1.5m?

a)

1.26 rad

b)

126 rad

c)

12.56 rad

d)

31 rad

13.

A progressive radio wave in a vacuum has a frequency of 75 MHz. What is the phase difference between two points on the wave that are 50 cm apart from each

other?

a)

23o

b)

45o

c)

90o

d)

180o

14.

The frequency of a certain wave is 500 Hz and its speed is 340 ms–1.What is the phase difference between the motions of two points on the wave 0.17 m apart?

a)

π rad

b)

π/4 rad

c)

π/2 rad

d)

3π/4 rad

15.

The wavelength of the same wave is 2m. How far apart are points B and C?

a)

0.5m

b)

1m

c)

π\pi

d)

12π\frac{1}{2\pi}

16.

The wavelength is still 2m. How far apart are points A and F?

a)

1.5m

b)

3.5m

c)

2.5m

d)

4m

17.

What is the distance between O and F?

a)

λ\lambda

b)

2λ2\lambda

c)

4λ4\lambda

d)

λ2\frac{\lambda}{2}

18.

A wave of frequency 15 Hz travels at 24 m/s through a medium. What is the phase difference between two points 2.0 m apart?

a)

There is no phase difference.

b)

They are out of phase by a quarter of a cycle.

c)

They are out of phase by half a cycle.

d)

They are out of phase by 0.80 of a cycle.

19.

If the path difference between B and C is 8.0 nm, what is the wavelength? (Answer in nm)

(a)  

20.
Two transverse waves overlap.  Crests overlap with crests.  Troughs overlap with troughs.  The waves are
a)
In-phase
b)
Out-of-phase
c)
In-synchronicity
d)
Out-of-synchronicity
21.
Two transverse waves overlap.  Crests overlap with troughs.  Troughs overlap with crests.  The waves are
a)
In-phase
b)
Out-of-phase
c)
In-synchronicity
d)
Out-of-synchronicity
22.
If two overlapping waves are in-phase, the resultant wave will have ______ compared to the two waves.
a)
Greater amplitude
b)
Greater frequency
c)
Greater wavelength
d)
Greater wave speed
23.
Constructive interference will result if parts of overlapping waves are _____.
a)
In phase
b)
Out of phase
c)
Moving in opposite directions
d)
Moving at the same wave speed.
24.
Destructive interference will result if parts of overlapping waves are _____.
a)
In phase
b)
Out of phase
c)
Moving in opposite directions
d)
Moving at the same wave speed.
25.
What is interference of waves?
a)
A superposition of two waves to form a resultant wave with higher or lower frequency.
b)
A superposition of two waves to form a wave of larger or smaller amplitude.
c)
A superposition of two waves to form a resultant wave with higher or lower velocity.
d)
A superposition of two waves to form a resultant wave with longer or shorter wavelength.
26.

What happens when two waves with the same frequency and amplitude interfere constructively?

a)

They cancel each other out

b)

They create a bigger wave with twice the amplitude

c)

They create a smaller wave with half the amplitude

d)

They create a wave with no displacement

27.

What is superposition of waves?

a)

When two waves move through each other and their displacements add up

b)

When two waves cancel each other out

c)

When two waves have the same frequency

d)

When two waves have different amplitudes

28.

How can we graphically represent the superposition of waves?

a)

By subtracting their individual displacements

b)

By multiplying their individual displacements

c)

By adding their individual displacements

d)

By dividing their individual displacements

29.

What is the result of destructive interference between two waves that are 180 degrees out of phase?

a)

They cancel each other out

b)

They create a bigger wave with twice the amplitude

c)

They create a smaller wave with half the amplitude

d)

They create a wave with no displacement

30.

In destructive interference, what happens to the resultant amplitude when two waves meet?

a)

It is equal to the sum of the amplitudes

b)

It becomes zero

c)

It becomes the difference between the two amplitudes

d)

It becomes the product of the two amplitudes

31.

What condition is necessary for constructive interference to occur between two waves?

a)

The waves must have opposite phases

b)

The waves must have the same amplitude but different frequencies

c)

The waves must be in phase with each other

d)

The waves must travel in different directions

32.

What is constructive interference and how does it occur?

a)

Constructive interference occurs when two waves of the same frequency and in phase with each other combine to form a wave with a smaller amplitude.

b)

Constructive interference occurs when two waves of the same frequency and in phase with each other combine to form a wave with a larger amplitude.

c)

Constructive interference occurs when two waves of different frequencies combine to form a wave with a larger amplitude.

d)

Constructive interference occurs when two waves are out of phase with each other and cancel each other out.

33.

In what scenario do two waves cancel each other out due to destructive interference?

a)

Equal amplitudes and opposite phases

b)

Different wavelengths and same phases

c)

Different amplitudes and opposite phases

d)

Equal amplitudes and same phases

34.

The two waves shown come from a source where they were initially coherent. The path difference could be

a)

⅓ λ

b)

½ λ

c)

¼ λ

d)

λ

e)

It is not possible to answer this question without additional information

35.

The phase difference for the two waves shown in the figure is

a)

2π

b)

π

c)

2π/3

d)

π/2

e)

It is not possible to answer this question without additional information

36.

State the path difference at the point marked with the red dot.

a)

0.5λ

b)

1λ

c)

2λ

d)

2.5λ

37.

State the path difference at the point marked with the red dot.

a)

0.5λ

b)

1λ

c)

1.5λ

d)

2λ

38.

A path difference of a whole number of wavelengths at a point results in...

a)

Constructive interference at that point

b)

Destructive interference at that point

c)

Resonance occurring at that point

d)

Wave reflection occurring at that point

39.

These two waves are...

a)

In-phase

b)

Out-of-phase

c)

Resonating

d)

High frequency

40.

When performing a vector sum, these waves will undergo...

a)

Constructive interference

b)

Destructive interference

c)

Reverberation

d)

Refraction

41.

The figure represents a string of length L, fixed at both ends, vibrating in several harmonics. Which string shows the 4th harmonic?

a)

A

b)

B

c)

C

d)

D

e)

E

42.

The figure shows several modes of vibration of a string fixed at both ends. The mode of vibration that represents the fifth harmonic is

a)

1

b)

2

c)

3

d)

4

e)

None of these is correct.

43.

On a standing-wave pattern, the distance between two consecutive nodes is d. The wavelength is

a)

d/2

b)

d

c)

3/2d

d)

2d

e)

4d

44.

A violin string of length 0.54 m and wave speed of 565 m/s along it. Calculate the frequency of the 5th harmonic.

a)

1046.3 HZ

b)

282.5 Hz

c)

3138.89 Hz

d)

1546 Hz

45.

How many antinodes does this standing wave have?

a)

5

b)

6

c)

7

d)

8

46.

The velocity of waves in a string fixed at both ends is 2 m/s. The string forms standing waves with nodes 5.0 cm apart. The frequency of vibration of the string in Hz is:

a)

40 Hz

b)

30 Hz

c)

20 Hz

d)

10 Hz

47.

A stretched string of length L, fixed at both ends, is vibrating in its third harmonic. How far from the end of the string can the blade of a screwdriver be placed against the string without disturbing the amplitude of the vibration?

a)

L/6

b)

L/4

c)

L/5

d)

L/2

e)

L/3

48.

A 1.00 m string fixed at both ends vibrates in its fundamental mode at 440 Hz. What is the speed of the waves on this string?

a)

220 m/s

b)

440 m/s

c)

660 m/s

d)

880 m/s

e)

1.10 km/s

49.

Standing wave patterns produced in a medium are constrained to integer or half-integer multiples of resonant wavelengths. If a rope is fixed at both ends 1 m apart, which wavelength below could not possibly produce a standing wave?

a)

2 m

b)

1/3 m

c)

1/4 m

d)

3 m

50.

The pipe length of D is 0.65 m. The frequency of the sound produced is 1200 Hz. Calculate the wave velocity.

a)

120 m/s

b)

600 m/s

c)

343 m/s

d)

780 m/s

51.

The pipe length of C is 0.25 m. What is the wavelength of the sound produced?

a)

0.25 m

b)

0.5 m

c)

0.75 m

d)

1 m

52.

The figure shows a standing wave in a pipe that is closed at one end. The frequency associated with this wave pattern is called the

a)

first harmonic.

b)

second harmonic.

c)

third harmonic.

d)

fourth harmonic.

e)

fifth harmonic.

53.

The air in a closed organ pipe vibrates as shown. The length of the pipe is 3.0 m. The frequency of vibration is 80 Hz. The speed of sound in the pipe is approximately

a)

80 m/s

b)

0.16 km/s

c)

0.24 km/s

d)

0.32 km/s

e)

0.96 km/s

54.

What is the bottom end of the tube called?

a)

Node

b)

Anti-node

c)

Standing wave

d)

Vibration

55.

Of the sound sources shown, that which is vibrating with its first harmonic is

a)

the whistle.

b)

the organ pipe.

c)

the vibrating string.

d)

the vibrating rod.

e)

None of these.

56.

In a pipe that is open at one end and closed at the other and that has a fundamental frequency of 256 Hz, which of the following frequencies cannot be produced?

a)

768 Hz

b)

1.28 kHz

c)

5.12 kHz

d)

19.7 kHz

e)

All of these can be produced.

57.

The fundamental frequency of a pipe that has one end closed is 256 Hz. When both ends of the same pipe are opened, the fundamental frequency is

a)

64.0 Hz

b)

128 Hz

c)

256 Hz

d)

512 Hz

e)

1.02 kHz

58.

In an Closed-Ended Air Column, when the length of the tube increases, what happens to the Wave Speed?

a)

The Wave Speed increases.

b)

The Wave Speed decreases.

c)

The Wave Speed stays the same.

59.

Sound becomes audible to the human ear at an intensity of

a)

I0 = 103 W/m2

b)

I0 = 1012 W/m2

c)

I0 = 10-3 W/m2

d)

I0 = 10-12 W/m2

60.

A sound has a loudness of 60 dB. What would its relative loudness be if the intensity were increased by a factor of 1000?

a)

63 db

b)

90 db

c)

100 db

d)

180 db

61.

A choir of 100 students sings at a sound level of 85 decibels. Assuming each student is singing at the same intensity, what is the sound level of a single student?

a)

65 dB

b)

8.5 dB

c)

0.85 dB

d)

75 dB

e)

15 dB

62.

A student stands 10 meters away from a sound source. The student walks away from the sound source to a 50 meter distance. What happen to intensity heard by student?

a)

The sound becomes 4x's softer

b)

The sound becomes 5x's softer

c)

The sound becomes 25x's softer

d)

The sound becomes 40x's softer

63.

At a concert, Jasper feels an intensity of 4.5 ×10−44.5\ \times10^{-4} W/m2. What sound level in decibels is he hearing? (Io = 1 x 10-12 W/m2)

a)

8.7 dB

b)

87 dB

c)

45 dB

d)

4.5 dB

64.

A car moves at 20 m/s away from a whistle. The whistle is stationary. The whistle makes a sound with a frequency of 500 Hz. The speed of sound in air is 330 m/s.


What is the frequency observed by the driver of the car?

a)

530 Hz

b)

470 Hz

c)

520 Hz

65.

Which person will hear a lower pitched sound from the police car and why?

a)

Person A, because the wavelengths are squished shorter as the car approaches

b)

Person A, because the wavelengths are stretched longer as the car approaches

c)

Person B, because the wavelengths are squished shorter as the car approaches

d)

Person B, because the wavelengths are stretched longer as the car approaches

66.

Which situation will result in the highest observed frequency?

  1. 1. Observer moves at 20 m/s towards sound source. Sound source is motionless.

  2. 2. Observer moves at 20 m/s towards sound source. Sound source moves at 20 m/s towards the observer.

  3. 3. Observer is motionless. Sound source moves at 20 m/s towards the observer.

  4. 4. Observer is motionless. Sound source moves 20 m/s away from the observer.

a)

1

b)

2

c)

3

d)

4

67.

An observer approaches a stationary 1000 Hz sound source at twice the speed of sound. What frequency does the observer hear?

a)

4,000 Hz

b)

3,000 Hz

c)

2,000 Hz

d)

none of these

68.

Betty is running at 5 m/s toward a whistle, which is stationary. An identical whistle is approaching Bob at 5 m/s. Which statement about the pitch of the whistle is correct?

  1. 1. Betty and Bob both hear a pitch which is higher than normal.

  2. 2. Betty and Bob both hear a pitch which is lower than normal.

  3. 3. Betty perceives the pitch to be higher and Bob perceives it to be lower than normal

  4. 4. Betty perceives the pitch to be lower and Bob perceives it to be higher than normal.

a)

1

b)

2

c)

3

d)

4

69.

An aircraft is moving away from you at half the speed of sound, which, on that day is about 340 m/s. The jet engines make a sound that is primarily about 300 Hz. What is the apparent frequency of the jet engines?

a)

150 Hz

b)

200 Hz

c)

470 Hz

d)

600 Hz

70.

An ambulance is travelling towards a hospital at a constant velocity of 30 m∙s-1.The siren of the ambulance produces sound of frequency 400 Hz. Take the speed of sound in air as 340 m∙s-1.

Calculate the frequency of the sound of the siren heard by a person standing at the hospital.

a)

400 Hz

b)

501,43 Hz

c)

478,32 Hz

d)

438,71 Hz

Similar Resources on Wayground

Chapter Summary

71 questions

Chapter Summary

quiz

Worksheet

•

Professional Development