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Waves in the string

Total questions: 92

Worksheet time: 2hrs 34mins

Name
Class
Date
1.

How are standing waves formed in a stretched string?

a)

By the interference of two waves traveling in the same direction

b)

By the interference of two waves traveling in opposite directions

c)

By a single wave reflecting off a boundary

d)

By the superposition of multiple waves of different frequencies

2.

What is a node in the context of standing waves on a string?

a)

A point where the wave has maximum amplitude

b)

A point where the wave has zero amplitude

c)

A point where the wave changes direction

d)

A point where the wave speed is maximum

3.

Which of the following describes an antinode in a standing wave?

a)

A point of zero displacement

b)

A point of maximum displacement

c)

A point of minimum energy

d)

A point of constant phase

4.

What is the fundamental frequency of a string fixed at both ends?

a)

The frequency of the first harmonic

b)

The frequency of the second harmonic

c)

The frequency of the third harmonic

d)

The frequency of the fourth harmonic

5.

How is the wave speed vv in a stretched string related to its tension TT and linear mass density μ\mu ?

a)

v=Tμv = \sqrt{\frac{T}{\mu}}

b)

v=Tμv = \frac{T}{\mu}

c)

v=T⋅μv = \sqrt{T \cdot \mu}

d)

v=μTv = \frac{\mu}{T}

6.

What happens to the frequency of a standing wave if the tension in the string is increased?

a)

The frequency decreases

b)

The frequency remains the same

c)

The frequency increases

d)

The frequency becomes zero

7.

Which harmonic corresponds to the second overtone in a string fixed at both ends?

a)

First harmonic

b)

Second harmonic

c)

Third harmonic

d)

Fourth harmonic

8.

What is the relationship between the energy of a standing wave and its amplitude?

a)

Energy is directly proportional to the amplitude

b)

Energy is inversely proportional to the amplitude

c)

Energy is proportional to the square of the amplitude

d)

Energy is independent of the amplitude

9.

In a standing wave pattern on a string, how many nodes are present in the second harmonic?

a)

1

b)

2

c)

3

d)

4

10.

If the length of a string is LL , what is the wavelength of the fundamental frequency?

a)

LL

b)

L2\frac{L}{2}

c)

2L2L

d)

2L3\frac{2L}{3}

11.

The vibration directions of the throws are given.

Which throw moves in the direction of 1 accordingly?

a)

I,II and III

b)

III

c)

I

d)

II and III

12.

The speed of X and Y shots moving in the directions given in the figure is Q = 1 br / s. How many seconds after the pulses pass from the given position completely extinguish each other?

a)

6

b)

5

c)

10

d)

8

13.

Q1> Q3> Q2 is the relationship between the velocities of pulses generated when objects of mass m1, m2 and m3 are suspended at the ends of identical arcs. Accordingly, in which option is the relationship between masses given correctly?

a)

m1 = m3 = m2

b)

m3 > m1 > m2

c)

m1 > m2 > m3

d)

m1 > m3 > m2

14.

The pulses X and Y are connected at point K. As the reflected and transmitted of a pulse is as in the figure;

The first pulse was created in X post.

II. The first pulse was created in the Y post.

III. The movement direction of the first roll is to the left.

which of his judgments could be correct?

a)

II

b)

I

c)

II and III

d)

I,II and III

15.

A given about a wave created on a homogeneous pulses;


I. It is a transverse wave.

II. It is longitudinal wave.

III. When its frequency is increased, its speed increases.


which of his judgments could be correct?

a)

I, II

b)

II

c)

I

d)

II, III

16.

The appearance of the waves created in identical pulses is as in the figure.

Since the forces stretching the springs are equal, in which option is the relationship between the frequencies of the waves given?

a)

f2 > f3 > f1

b)

f2 > f1 > f3

c)

f2 = f1 = f3

d)

f1 > f2 > f3

17.

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

18.
The moving black dot is called:
a)
a node
b)
an anti-node
c)
an anti-amplitude
d)
the wangy bit
19.
The stationary dot is called:
a)
a node.
b)
an anti-node.
c)
the amplitude.
d)
the not moving bit.
20.
Which harmonic is shown?
a)
1st
b)
2nd
c)
3rd
d)
4th
21.
When two waves combine to form a new wave with a smaller amplitude, it is called 
a)
Refraction
b)
Constructive Interference
c)
Resonance
d)
Destructive Interference
22.

Sketch A shows two identical pulses traveling in opposite directions along a string, each with a speed of 1.0 cm/s. After 4.0 s, the string will look like which of the other sketches?

a)

1

b)

2

c)

3

d)

4

e)

5

23.

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

24.

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.

25.

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

26.
Resonance occurs when
a)
an object is forced to vibrate at its natural frequency.
b)
sound changes speed in going from one medium to another.
c)
the amplitude of a wave is amplified.
d)
sound makes multiple reflections
27.
A standing wave is oscillating at 950 Hz on a string, as shown in the figure. What is the wave speed?
a)
380 m/s
b)
570 m/s
c)
290 m/s
d)
190 m/s
28.

What is the wavelength of this standing wave?

a)

2.15 m

b)

4.30 m

c)

6.45 m

d)

8.60 m

29.

A 1.00 m string fixed at both ends vibrates with 4

anti-nodes 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

30.
A stretched string is observed to have four equal segments in a standing wave driven at a frequency of 480 Hz.  What driving frequency will set up a standing wave with five equal segments?
a)
600 Hz
b)
360 Hz
c)
240 Hz
31.
The speed of propagation of a transverse wave on a 2.0-m long string fixed at both ends is 200 m/s.  Which one of the following is not a resonant frequency of this string?
a)
25 Hz
b)
50 Hz
c)
100 Hz
d)
200 Hz
32.
A standing wave is oscillating at 950 Hz on a string, as shown in the figure. What is the wave speed?
a)
380 m/s
b)
570 m/s
c)
290 m/s
d)
190 m/s
33.
A string that is 2.0 meters long is fixed at both ends and tightened until the wave speed is 18 m/s. What is the frequency of the standing wave shown in the figure?
a)
27 Hz
b)
54 Hz
c)
81 Hz
d)
110 Hz
34.

A standing wave is formed on a string of length l.  Which of the following statements is/are true?
∎  Progressive waves are travelling along the string in both directions.
∎  The standing wave is an example of superposition.
∎  The wavelength of the standing wave is l.

a)
1, 2 and 3
b)
Only 1 and 2
c)
Only 2 and 3
d)
Only 1
35.
The diagram shows the standing wave pattern of a vibrating string which is fixed at ends X and Y.
Which one of these statements is true?
a)
P to R is one wavelength.
b)
At R the string will move up.
c)
The lowest frequency for this string is one third of its current value.
d)
The kinetic energy of the string is at its maximum value.
36.
A receiver R is moved from S (a reflector) towards T (a transmitter). The intensity changes as in the diagram. Which of the following statements is correct?
a)
R is measuring the amplitude.
b)
The frequency of the microwaves is 2.5 GHz.
c)
The wavelength of the microwaves is 6.0 cm.
d)
The amplitudes of the transmitted and reflected waves are always equal.
37.
The moving black dot is called:
a)
a node
b)
an anti-node
c)
an anti-amplitude
d)
the wangy bit
38.
The stationary dot is called:
a)
a node.
b)
an anti-node.
c)
the amplitude.
d)
the not moving bit.
39.
Which harmonic is shown?
a)
1st
b)
2nd
c)
3rd
d)
4th
40.
A standing wave:
a)
transports energy but does not move.
b)
is composed of a single travelling wave.
c)
stores energy.
d)
makes a loud noise.
41.
What are the boundary conditions for these standing waves?
a)
Anti-nodes at each end.
b)
The surface of the string is smooth.
c)
The string is free at both ends.
d)
There is a node at each end.
42.

The string is 3.5m long.  The time period is 0.4s and hence calculate the speed of the underlying travelling waves.

a)
0.7ms-1
b)
1.4ms-1
c)
2.8ms-1
d)
3.5ms-1
43.

Standing waves are created by

a)

Two identical waves reflecting off each other

b)

Two identical waves being diffracted together

c)

Two identical waves move through each other in opposite directions

d)

Two identical waves are diffracted from two identical sources

44.

In the diagram which letters represent the nodes

a)

A B C

b)

A C E

c)

B D

d)

B D E

e)

A C D

45.

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)

2615.74 Hz

d)

1546 Hz

46.

What is the fundamental frequency of a standing wave with fixed ends?

a)

Always 440 Hz

b)

Has no relation to the length of the string

c)

Depends on the length of the string and the speed of the wave

d)

Depends on the tension of the string and the amplitude of the wave

47.

How is the fundamental frequency related to the length of the string?

a)

The fundamental frequency is only related to the tension in the string.

b)

The fundamental frequency is directly proportional to the length of the string.

c)

The fundamental frequency is not affected by the length of the string.

d)

The fundamental frequency is inversely proportional to the length of the string.

48.

Explain the concept of nodes and antinodes in standing waves.

a)

Nodes are points with minimum amplitude, while antinodes are points with maximum amplitude.

b)

Nodes are points with zero amplitude, while antinodes are points with maximum amplitude.

c)

Nodes and antinodes are the same thing.

d)

Nodes are points with maximum amplitude, while antinodes are points with zero amplitude.

49.

How many nodes are there in a standing wave with 3 segments?

a)

8

b)

6

c)

2

d)

4

50.

What is the relationship between the number of nodes and the wavelength of a standing wave?

a)

Inversely proportional

b)

Depends on the tension of the string

c)

No relationship

d)

Directly proportional

51.

Calculate the wavelength of a standing wave with a frequency of 50 Hz and a speed of 340 m/s.

a)

6.8 m

b)

3.4 m

c)

10.2 m

d)

5.5 m

52.

If the length of a string is 2m and the speed of the wave is 300 m/s, what is the frequency of the standing wave?

a)

150 Hz

b)

500 Hz

c)

200 Hz

d)

75 Hz

53.

Determine the frequency of a standing wave with a wavelength of 0.6m and a speed of 360 m/s.

a)

0.2 Hz

b)

600 Hz

c)

1200 Hz

d)

0.1 Hz

54.

Explain how to calculate the frequency of a standing wave in a string with fixed ends.

a)

f = (n/2L) / v

b)

f = (n/2L) + v

c)

f = (n/2L) * v

d)

f = (n/2L) - v

55.

In a wave, the distance traveled by a wave during one period is called

a)

amplitude

b)

frequency

c)

wavelength

d)

displacement

56.

The frequency of a wave is doubled when the speed stays the same. Which of the following is true about the wavelength?

a)

Doubles

b)

Quadruples

c)

 Halved 

d)

Decreased to one-forth  

57.

A wave pulse travels to the right along a thin string. The string is connected to a thick rope. Which of the following is true about the direction of the reflected and transmitted pulses?

a)

They are both upright

b)

They  are both inverted

c)

The reflected is upright and transmitted is inverted

d)

The reflected is inverted and transmitted is upright

58.

Two pulses of equal positive amplitude travel toward each other on a string. Which of the following is true about an oscillating point where the pulses pass through each other?

a)

b)

c)

d)

59.

Two pulses of equal and opposite amplitude travel toward each other on a string. Which of the following is true about an oscillating point where the pulses pass through each other?

a)

b)

c)

d)

60.

A string of length L oscillates at a frequency at which a standing wave is produced. What is the wavelength of the wave in the string?

a)

L 

b)

L/2

c)

L/3

d)

2L/3

61.

A string of length L oscillates at a frequency at which a standing wave is produced. What is the wavelength of the wave in the string?

a)

L

b)

L/2

c)

L/3

d)

2L/3

62.

A string of length L oscillates at a frequency at which a standing wave is produced. What is the wavelength of the wave in the string?

a)

L

b)

L/5

c)

2L/3

d)

2L/5

63.

A “snapshot” of a wave is given on the graph. What is the amplitude of oscillations?

a)

0.5 m

b)

1 m

c)

1.5 m   

d)

2 m

64.

A “snapshot” of a wave is given on the graph. What is the wavelength?

a)

1 m

b)

1.5 m

c)

 2 m  

d)

2.5 m

65.

A “snapshot” of a wave is given on the graph. What is the speed of the wave if the frequency of oscillation is 16 Hz?

a)

 8 m/s

b)

 16 m/s

c)

24 m/s

d)

36 m/s

66.

A string with a length of 3 m oscillates at a frequency 6 Hz. What is the speed of the wave in the string?

a)

9 m/s

b)

12 m/s

c)

15 m/s

d)

18 m/s

67.

Mechanical wave is defined as the waves produced by a disturbance in a

medium causes the vibration of particles in the medium to ________________________________

a)

transfer the electromagnetic

b)

transfer the energy.

c)

transfer the heat

68.

Which part of the wave is this?

a)

Crest

b)

Trough

c)

Compression

d)

Rarefaction

69.

Water waves and waves on a string is a type of...

a)

Transverse wave

b)

Longitudinal wave

c)

Both of the waves

70.

The ____________________________ are produced by

the superposition of two progressive waves of

equal in amplitude and frequency, traveling in

opposite direction.

a)

stationary wave

b)

progressive wave

c)

sound wave

d)

heat

71.
Sound is an example of which type of wave?
a)
Transverse
b)
Longitudinal
c)
Both
d)
Neither
72.

What is Node?

a)

Zero displacement

b)

Back and forth displacement

c)

Maximum displacement

d)

Linear displacement

73.

What is the wavelength?

a)

length between crest to crest or trough to trough

b)

the height of a wave

c)

how fast the wave goes

d)

the amount of times a wave passes through a certain point

74.

Transverse wave Is defined as a wave in which the direction of vibrations of the particle is (a)   to the direction of the wave propagation (wave speed)

75.

What is two factors that influence sound intensity?

a)

node and antinode

b)

amplitude and distance

76.

(a)   refers to the change in

observed frequency during the relative

motion between a wave source and its

observer.

77.

Waves transfer _______.

a)

particles

b)

matter

c)

energy

78.

_____ waves have vibrations that run parallel to the direction the wave travels, and _____ waves have vibrations that run perpendicular to the direction the wave travels.

a)

transverse, longitudinal

b)

longitudinal, transverse

79.

Examples of this type of waves include water waves, waves on a string/jump rope, and light waves.

a)

transverse

b)

longitudinal

80.

Examples of _____ waves include sound waves and earthquake P-waves.

a)

transverse

b)

longitudinal

81.

_______ is the distance between waves, measured from one crest to the next crest.

a)

Wavelength

b)

Frequency

c)

Amplitude

82.

The _______ is the highest point on a transverse wave, and the ____ is the lowest point.

a)

Trough, Crest

b)

Crest, Trough

c)

Compression, Rarefaction

d)

Rarefaction, Compression

83.

The _______ is the size or height of a wave, measured from the equilibrium to the crest or trough.

a)

Amplitude

b)

Wavelength

c)

Frequency

84.

The _______ of a wave is how many waves pass a given point every second.

a)

Frequency

b)

Wavelength

c)

Amplitude

85.

Frequency is measured in _______.

a)

Hertz (Hz)

b)

Meters per second

c)

Meters

d)

Newtons

86.

Frequency is how many waves pass a point in 1 second. If 100 waves pass a given point in 4 seconds, what is the wave's frequency?

a)

25 Hz

b)

100 Hz

c)

4 Hz

d)

400 Hz

87.

In a longitudinal wave, a ____ is an area where the particles are spread apart and a ____ is an area where the particles are close together.

a)

crest, trough

b)

compression, rarefaction

c)

rarefaction, compression

d)

trough, crest

88.

Examples of ________ waves include visible light, xrays, ultraviolet, and radio waves.

a)

transverse

b)

longitudinal

89.

Waves that can travel through empty space are called _____ waves. Waves that require a medium to travel, such as air or water, are called _____ waves.

a)

mechanical, electromagnetic

b)

electromagnetic, mechanical

c)

crest, trough

d)

compressional, rarefactional

90.

In the diagram of a compressional wave, A is showing a ___ while B is showing a ___.

a)

compression, rarefaction

b)

trough, crest

c)

rarefaction, compression

d)

crest, trough

91.

In this diagram of a transverse wave, A is showing the wave's _____ and B is showing the wave's _____.

a)

amplitude, trough

b)

amplitude, crest

c)

wavelength, trough

d)

wavelength, crest

92.

In this diagram of a transverse wave, C is showing the wave's _____ and D is showing the wave's _____.

a)

crest, amplitude

b)

trough, amplitude

c)

crest, wavelength

d)

trough, wavelength

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