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WorksheetsFoP Final Semester 2
Total questions: 85
Worksheet time: 21hrs 32mins
A standing wave of frequency 5 Hz is set up on a 2-m string as shown. What is the fundamental resonant frequency of the string?
2.5 Hz
10 Hz
7.5 Hz
1 Hz
5 Hz
Which of the following is true of both sound and light waves?
They give rise to interference effects
The travel with the same velocity
They are longitudinal waves
They are transverse waves
The figure below shows beats that occur when two different pairs of waves interfere. For which case is the difference in frequency of the original waves grater?
impossible to tell just by looking
pair (b)
pair (a)
same for both
One end of a horizontal string is fixed to a wall. A transverse wave pulse is generated and it moves toward the wall. Properties of the reflected wave include which of the following? (Select all that apply)
It has a greater amplitude than the incident pulse
Its amplitude is inverted with respect to the incident pulse.
It has greater speed than the incident pulse.
none of the above
In the Doppler effect for sound waves, factors that affect the frequency that the observer hears include which of the following? (Select all that apply)
speed of the source
speed of the observer
none of the above
loudness of the sound
A speaker is at rest at the side of a straight road. The speaker produces a steady sound of constant frequency. A student is standing still near the speaker. Two vehicles are driven down the road: a truck approaching the speaker and a car moving away from the speaker. If the sound is represented by wave fronts, the student and the vehicle drivers each observe a different amount of time between successive fronts:ts for the student, tt for the truck driver, and tc for the car driver. Which of the following correctly ranks the times?
tc<ts<tt
ts<tt<tc
tt<ts<tc
tt<tc<ts
One end of a string is fixed in place and the other end is vibrated, allowing a wave to propagate along the string. The vertical position (y) of a single point on the string is measured at fixed intervals of time (t) as the wave passes. The graph shows y as a function of t. A separate measurement indicates that the wave speed on the string is 12 m/s. What is the wavelength?
480 m
0.0021 m
0.15 m
0.30 m
The average length of the air columns of two consecutive resonances
The shortest air column length that gives resonance
The difference between air column lengths that give two consecutive resonances
The longest air column length that gives resonance
The figure shown here displays a transverse wave traveling to the right at a particular instant in time. The period of the wave is 0.2 s. What is the wave’s speed?
4 cm/s
200 cm/s
100 cm/s
50 cm/s
25 cm/s
A source of sound, S, and a listener, L, each can be at rest or can move directly toward or away from each other with speed v (represented by an arrow). In which situation will the observer hear the lowest frequency?
b
a
c
e
d
You stand a certain distance away from a speaker and you hear a certain intensity of sound. If you double your distance from the speaker, what happens to the sound intensity at your new position?
Intensity drops to 1/8 its original value
Intensity drops to 1/2 its original value
intensity does not change
Intensity drops to 1/4 its original value
Intensity drops to 1/16 its original value
600 Hz
100 Hz
400 Hz
800 Hz
300 Hz
The figure to the right represents standing wave patterns in two identical tubes. The tubes contain the same amount of water, and the standing waves are produced by holding a vibrating tuning fork near the top of each tube. What is the relationship between the wavelengths λx and λy of the standing waves?
wavex=1/7wavey
wavex=2/7wavey
wavex=7wavey
wavex=7/2wavey
A tuning fork is used to create standing waves in a tube open at the top and partially filled with water. A resonance is heard when the water level is at a certain height. The next resonance is heard when the water level has been lowered by 0.5 m. If the speed of sound is equal to 340 m/s, the frequency of the tuning fork is
226 Hz
680 Hz
170 Hz
340 Hz
2450 Hz
A standing wave pattern is created on a guitar string as a person tunes the guitar by changing the tension in the string. Which of the following properties of the waves on the string will change as a result of adjusting only the tension in the string? (Mark all the apply)
wavelength
frequency
wave speed
The figure here shows two wave pulses on a spring traveling toward each other at time t = 0. When t = 0.2 s, the pulses completely overlap. A student measures the amplitudes at points A, B, and C at the times shown in the data table. What will the student probably measure and fill into the data table at x, y, and z?
x = 0.1, y = 0.2, z = 0.3
x = 0.1, y = 0.3, z = 0.2
x = 0.5, y = 0.2, z = 0.3
x = 0.5, y = 0.3, z = 0.2
A student wants to demonstrate a transverse wave for a friend. The student holds a long spring with his fingertips and lets it hang vertically over the edge of a railing as shown. The student can move his hand in a way that creates waves that propagate down the spring. Which of the following movements of the student’s hand will create transverse waves? SELECT TWO
forward/backward
up/down
release the spring
left/right
A transverse, periodic wave travels along a string that is stretched along the x-axis. The figure here shows the y-position of a point on the string as a function of time. What further information, if any, is needed to determine the wavelength of the wave?
frequency
wave velocity
no further information is needed
amplitude
Both sound and radio waves are present inside a car (playing the radio). Which of the following is true about these waves?
Both travel at 3x10^8m/s
Sound waves require a medium to propagate and radio waves don’t.
Radio and sound waves are not two different things; it’s just one wave.
both are longitudinal
The figure here shows a string held taut between a post and an oscillator that vibrates the end of the string. In an experiment, the oscillator is adjusted to find many frequencies that will create a standing wave, one of which is shown. The number of nodes is counted in each standing wave. Which of the following quantities must also be measured to determine the speed of traveling waves on the string? SELECT TWO ANSWERS.
the mass of the string
the frequencies of the standing wave patterns
the length of the string
the amplitude of the standing wave patterns
What is the amplitude of the wave?
10 cm
16 cm
8 cm
4 cm
5 cm
A guitar string of length L can vibrate with three antinodes as shown here. The straight dashed line shows the equilibrium position of the string. The wave pattern is most likely formed by the superposition of which of the following pulses or waves?
Two periodic waves of λ=L3, one moving left and the other moving right
Two periodic waves of λ=2L/3, one moving left and the other moving right
Using the setup shown here, a student tests how the tension in the string affects the frequency of the fundamental standing wave. In each trial, with a known mass in the holder, the student adjusts the oscillator frequency to produce the fundamental wave. The student notices that as the mass in the holder increases, the string stretches and total string lengths from the oscillator to the mass holder increases. Which of the following procedures would help the student decide if the string’s total length has a separate effect from the tension on the fundamental frequency?
Repeating the experiment with a string that does not stretch when the tension increases
Repeating the experiment using lighter blocks.
Repeating the experiment but producing standing waves of the second mode (n=2)
Repeating the experiment using a different distance between the oscillator and pulley
To determine the speed of waves on a string, some students tie a long string of unknown length between a wave generator and a wall. They vary the frequency to get a standing wave and count the number of nodes (n
) and measure the wavelength (λ
). They repeat the experiment, creating standing waves with different frequencies. Which of the following is the best relationship to graph to determine the speed of the waves on the string?
f as a function of (wave)
f as a function of 1/n
f as a function of n
f as a function of 1/(wave)
Two parallel conducting plates, separated by a distance d, are connected to a battery of emf (ℰ). Which of the following is correct if the plate separation is doubled while the battery remains connected?
the potential difference between the places is doubled
the potential difference between the plates is halved
the electric charge on the plates is doubled
the electric charge on the plates is halved
the capacitance is unchanged
Two parallel conducting plates are connected to a constant voltage source. The magnitude of the electric field between the plates is 2000 N/C. If the voltage is doubled and the distance between the plates is reduced to ⅕ the original distance, the magnitude of the new electric field is…
1600 N/C
5000 N/C
20000 N/C
800 N/C
2400 N/C
The diagram shown here shows an isolated, positive charge Q. Point B is twice as far away as point A. How much stronger is the field from Q at point A as compared to point B?
half as strong
the field has the same strength at A and B
one-fourth as strong
2 times stronger
4 times stronger
What is the direction of the electric field at the center of the square?
c
e
b
d
a
For the diagram below, which path requires the most work to move a negative charge from point P in a uniform electric field? All points are the same distance from point P.
d
e
a
b
c
Which group of charges took more work to bring together? Assume that all charges started at nearly infinite distances away from each other.
Which group of charges took more work to bring together? Assume that all charges started at nearly infinite distances away from each other.
They both took the same amount of work
Group 2
Group 1
What are the signs of the charges whose electric fields are shown here?
A: + B: +
A: - B: -
A: + B: -
A: - B: +
impossible to tell with information given
A hollow metal sphere is positively charged. Point C is at the exact center of the sphere and point P is any other point inside of the sphere. Which of the following is true of the electric field at these two points?
it is non-zero at both points
it is zero at both points
it is zero at P but non-zero at C
it is zero at point C. It is non-zero at P and directed outward.
it is zero at point C. It is non-zero at P and directed inward.
Two neutral conductors (1) are connected by a wire (2) and a charged rod is brought near, but does not touch the left-most conductor (3). The wire is taken away (4) after which the charged rod is removed (5). What are the charges on the conductors?
Left: + Right: -
Left: - Right:+
Left: 0 Right: 0
Left: - Right: -
Left: + Right: +
Four point charges are arranged at the corners of a square as shown. Find the electric field (E) and the electric potential (V) at the center of the square.
E > 0 V > 0
E > V = 0
Impossible to tell
E = 0 V > 0
E = 0 V = 0
A conducting spherical shell of radius R has charge q uniformly distributed on its outer surface. The graph here represents the electric field strength (E) versus distance (r) from the center of the spherical shell. Which of the following graphs best represents E versus r when the charge on the spherical shell is doubled to 2q?
b
a
d
c
Conducting spheres 1, 2, and 3 are arranged as shown. First, spheres 1 and 2 are suspended from two insulating strings. Some time later, spheres 1 and 3 are suspended from the same strings. What can you conclude about the charge on each of the spheres?
1, 2, and 3 must all have the same charge
1 must be neutral (no charge)
1 and 2 have the same charge (but 3 is different)
1 and 2 have opposite charge (and 3 is the same as 2)
For the figure shown here, what is the potential energy of a particle of charge +q that is held at point P?
0
What is the net direction of the electric field at point P?
↗
↘
↖
↓
↙
An electron e and a proton p are simultaneously released from rest in a uniform electric field. Assume that the particles are sufficiently far apart so that the only force acting on each particle is due to the field. Some time later, when the particles are still in the field, the electron and proton will have the same…
Direction of motion
Magnitude of acceleration
speed
displacement
magnitude of force acting on them
Which of the arrows best represents the direction of the net force on charge Q due to the other two charges?
b
d
e
c
a
Four positive charges are fixed at the corners of a square, as shown. Three of the charges have a charge of magnitude Q, and the fourth charge has a magnitude of 2Q. Point P is at the center of the square at a distance r from each charge. What is the electric potential at point P?
2kQ/r
kQ/r
0
5kQ/r
4Q/r
A proton and an electron are in a uniform electric field created by oppositely charged plates. You release the proton from the positive side and the electron from the negative side. Which feels the larger magnitude of electric force?
the proton
there is no force felt by either particle
the electron
it is impossible to tell without more information
they feel the same force
A proton and an electron are in a uniform electric field created by oppositely charged plates. You release the proton from the positive side and the electron from the negative side. Which has more kinetic energy when it hits the opposite plate?
They both acquire the same amount of kinetic energy
The electron
it is impossible to tell without more information
the proton
they both have zero kinetic energy
Which of the following is true about the net force acting on an uncharged conducting sphere in a uniform electric field?
It is in the direction opposite the field
it is zero
it causes the sphere to oscillate about an equilibrium position
it is in the direction of the field
It produces a torque on the sphere about the direction of the field
For the above circuit, what is the current going through the 27Ω resistor?
2.25 A
0.94 A
0.72 A
0.21 A
S1 and S2
S2 only
S1 and S3
S3 only
S1 only
The total resistance of the wire loop of radius b is R. What is the resistance of the wire loop of radius 2b?
R/2
2R
R/4
R
4R
Closing which of the switches will produce the greatest voltage across R3?
S2 only
S1 only
S1 and S2 only
S1 and S3 only
S1, S2, and S3
stay the same
decrease
increase
For the above circuit, what is the voltage dropped by the 100Ω resistor?
100 V
120 V
40 V
64.9 V
it cannot be determined without knowing the actual radii of the spheres
it is the same
it is greater
it cannot be determined without knowing the actual value of the electric field just outside the sphere
it is less
For the above circuit, what is the voltage dropped by the 8Ω resistor?
8.0 V
12.8 V
24.0 V
3.0 V
When there is a steady current in the circuit, the amount of charge passing a point per unit of time is
greater at point X than at point Y
greater in the 2Ω resistor than in the 3Ω resistor
the same everywhere in the circuit
greater in the 1Ω resistor than in the 3Ω resistor
greater in the 1Ω resistor than in the 2Ω resistor
What is the potential difference across the terminals X and Y of the battery?
1.2 V
12.0 V
6.0 V
10.8 V
13.2 V
What power is dissipated by the 4‑ohm internal resistance of the battery?
1.2 W
3.6 W
0.36 W
3.2 W
4.8 W
If three resistors with unequal resistance are connected in parallel in a DC circuit, which of the following is true of the total resistance?
It is equal to the middle resistance
it is equal to the average of the three resistances
it is lower than the value of the lowest resistance
it cannot be determined without knowing the emf applied across the combination
it is higher than the value of the highest resistance
heater 1
heater 2
both equally
Two cables can be used to wire a circuit. Cable A has a lower resistivity, a larger diameter, and a different length than cable B. Which cable should be used to minimize heat loss if the same current is maintained in either cable?
It cannot be determined without knowing the materials contained in each cable
Cable A
Cable B
The heat loss is the same for both
It cannot be determined without knowing the length of each cable
For the above circuit, what is the equivalent resistance?
19.8 Ω
15.0 Ω
1.2 Ω
1.6 Ω
the 25 W bulb
the 100 W bulb
both have the same resistance
For the above circuit, what is the equivalent resistance of all three resisitors?
6.7 Ω
19.2 Ω
48.0 Ω
4.2 Ω
A gets brighter and B gets dimmer
intensity of both bulbs increases
intensity of both bulbs decreases
both bulbs go out
nothing changes
decreases
remains the same
drops to zero
increases
Conducting sphere X is initially uncharged. Conducting sphere Y has twice the diameter of sphere X and initially has charge q. If the spheres are connected by a long thin wire, which of the following is true once equilibrium has been reached?
Spheres X and Y have the same charge.
Sphere Y has twice the potential of sphere X
Sphere Y has half the potential of sphere X.
Sphere Y has half the potential of sphere X.
Spheres X and Y have the same potential.
An object O is located at point P to the left of a converging lens as shown. (Focal points, F, are shown). If the focal length is 0.4 m and point P is 0.3 m, where will the image be located?
0.83 m to the left of the lens
0.17 to the left of the lens
0.83 m to the right of the lens
1.2 m to the left of the lens
1.2 m to the right of the lens
A physics student places an object 6.0 cm from a converging lens with a 9.0-cm focal length. What is the magnitude of the magnification of the image produced?
2.0
1.5
0.33
3.0
0. 67
d
c
a
b
e
If the object distance for a converging lens is more than twice the focal length, the image is…
located inside the focal point
larger than the object
virtual and upright
Located at a distance between f and 2f from the lens
Located at a distance more than, 2f from the lens
An object is located 2 m to the left of a convex mirror. If the radius of curvature of the mirror is 30 cm, where is the approximate location of the image?
14 cm to the right of the mirror
26 cm to the right of the mirror
35 cm to the left of the mirror
16 cm to the left of the mirror
e
d
a
c
b
n1 = n2 = n3
n1>n2>n3
n1=n3<n2
n1=n3>n2
n1<n2<n3
An object sits far beyond the center of curvature of a convex lens. Describe the image formed.
real, inverted, smaller than the object
real, upright, smaller than the object
virtual, inverted, larger than the object
virtual, upright, larger than the object
On a calm day, student 1 looks into a pool of water and sees student 2 swimming underwater. At the same time, student 2 looks up from under the water and sees student 1. Pick one diagram that represents the perception of student 1 and another diagram that represents the perception of student 2 (i.e. you will select either a or b AND either c or d).
c
a
b
d
Which of the rays shown here is possible for the mirror?
none are possible
2
4
3
1
As shown, a beam of white light is separated into separate colors when it passes through a glass prism. Red light is refracted through a smaller angle than violet light because red light has a
faster speed in glass than violet light
faster speed in the incident medium than violet light
slower speed in glass than violet light
greater intensity than violet light
slower speed in the incident medium than violet light
An object is placed in front of a planar mirror as shown. Which of the following shows the apparent position and orientation of the object’s image?
a
c
b
e
d
Real, upright, larger than the object
Real, inverted, larger than the object
Real, inverted, larger than the object
Virtual, upright, larger than the object
Virtual, upright, smaller than the object
A student uses a convex lens to create images and collects the data shown here. The focal length of the lens is in which of the following ranges?
0-5 cm
5-10 cm
15-25 cm
10-15 cm
An object is placed in front of a diverging lens at a distance between f and 2f. Compared to the object, the image produced by the lens is…
virtual, upright, smaller
virtual, inverted, smaller
real, inverted, larger
virtual, upright, larger
real, inverted, smaller
An object is placed in front of a converging thin lens at a distance equal to half the lens’s focal length. Compared to the object, the image is…
inverted, larger
upright, larger
inverted, smaller
upright, smaller
inverted, same size
The concave spherical mirror of radius r shown here has a focal point F and a center of curvature C. An object is placed at a distance of 2rfrom the mirror. Where will the image be formed?
between F and C
between C and the object
to the left of the mirror
to the right of the object
between F and the mirror
An object is placed near a planar mirror as shown here. Which of the labeled points is the position of the image?
E
B
D
C
A
An object is placed in front of a thin lens. An upright image is formed that is one-third the height of the object. If the image is 6.0 cm from the lens, what is the focal length of the lens?
-9 cm
-27 cm
+9 cm
+27 cm
A ray of light in glass (n = 1.5) strikes water (n = 1.3) and is partially reflected and partially refracted. How do the angle of reflection and angle of refraction both compare to the original angle of incidence?
Angle of reflection is greater, angle of refraction is the same
Angle of reflection is the same, angle of refraction is greater
Angle of reflection is the same, angle of refraction is smaller
Angle of reflection is the smaller, angle of refraction is the same
Angle of reflection is smaller, angle of refraction is greater
