Worksheetsсессия
Total questions: 76
Worksheet time: 25mins
Name
Class
Date
1.
A rock is thrown vertically upward with initial speed v₀...
a)
The acceleration of the rock is always equal to g.
b)
The acceleration of the rock is equal to g only at the top of the flight.
c)
The acceleration of the rock is always less than g.
d)
The speed of the rock upon return to its starting point is v₀.
e)
The rock can attain a terminal speed greater than v₀ before it returns to its starting point.
2.
A satellite orbits the Earth in a circular orbit...
a)
It is an ellipse.
b)
It is a hyperbola.
c)
It is a circle with larger radius.
d)
It is a spiral with increasing radius.
e)
It exhibits many radial oscillations per revolution.
3.
For blue light, a transparent material has a relative permittivity...
a)
√3.1 c
b)
√2.1 c
c)
c / √1.1
d)
c / √2.1
e)
c / √3.1
4.
The equation y = A sin 2π(t/T – x/λ)...
a)
Amplitude is 2A
b)
Velocity is in the negative x-direction
c)
Period is T/λ
d)
Speed is x/t
e)
Speed is λ/T
5.
Two small spheres of putty, A and B...
a)
1/16 h₀
b)
1/8 h₀
c)
1/4 h₀
d)
1/3 h₀
e)
1/2 h₀
6.
A particle is initially at rest at the top of a curved frictionless track...
a)
0
b)
g
c)
gx/2
d)
gx/(x² + 4)
e)
gx²/√(x² + 16)
7.
A 2-kilogram box hangs by a massless rope...
a)
arctan 0.5
b)
arcsin 0.5
c)
arctan 2.0
d)
arcsin 2.0
e)
45°
8.
A 5-kilogram stone is dropped on a nail...
a)
10 N
b)
100 N
c)
1000 N
d)
10,000 N
e)
100,000 N
9.
A wire of diameter 0.02 meter contains 1×10²⁸ free electrons...
a)
0.6×10^-29 m/s
b)
1×10^-19 m/s
c)
5×10^-10 m/s
d)
2×10^-4 m/s
e)
8×10^3 m/s
10.
An isolated sphere of radius R contains a uniform distribution of charge...
a)
A
b)
B
c)
C
d)
D
e)
E
11.
Which of the following equations is a consequence of ∇×H = Ď + J?
a)
∇·(Ď + J) = 0
b)
∇×(Ď + J) = 0
c)
∇·(Ď) = 0
d)
Ď + J = 0
e)
Ď·J = 0
12.
A 1-kHz sound source is moving toward you at 0.9 speed of sound...
a)
0.1 kHz
b)
0.5 kHz
c)
1.1 kHz
d)
1.9 kHz
e)
10 kHz
13.
Two coherent sources of visible monochromatic light...
a)
Unaffected because phase change is small
b)
Unaffected because phase change is π multiple
c)
Destroyed except when phase is 0 or π
d)
Destroyed for all phase differences
e)
Not destroyed but shifts rapidly
14.
For an ideal gas, Cp > Cv because...
a)
Gas does work on its environment...
b)
Heat input per degree same...
c)
Pressure constant with temp...
d)
Internal energy greater with constant pressure...
e)
Heat needed is greater when volume constant...
15.
A sample of N helium atoms in 1.0 m³. Probability none in 10⁻⁶ m³ is...
a)
0
b)
(10⁻⁶)^N
c)
(1 – 10⁻⁶)^N
d)
1 – (10⁻⁶)^N
e)
1
16.
Except for mass, the muon is most similar to...
a)
electron
b)
graviton
c)
photon
d)
pion
e)
proton
17.
Suppose that A decays by natural radioactivity in two stages to C. The two stages would most likely be which of the following?
a)
β⁻ emission with an antineutrino → α emission
b)
β⁻ emission → α emission with neutrino
c)
β⁻ emission → γ emission
d)
Emission of a deuteron → Emission of two neutrons
e)
α emission → γ emission
18.
The wave function ψ(x) = A exp{–(b²x²)/2} is a normalized eigenfunction of the Schrödinger equation for a particle of mass M and energy E in a 1D potential V(x) such that V(x) = 0 at x = 0. Which is correct?
a)
V = ℏ²b⁴ / 2M
b)
V = ℏ²b²x² / 2M
c)
V = ℏ²b⁴x⁴ / 2M
d)
E = ℏ²b²(1 – b²x²)
e)
E = ℏ²b² / 2M
19.
Energy levels of hydrogen atom are given in terms of principal quantum number n and constant A:
a)
A(n + ½)
b)
A(1 – n²)
c)
A(–¼ + 1/n²)
d)
A n²
e)
–A / n²
20.
A kaon has rest mass 494 MeV/c², proton has 938 MeV/c². If kaon has total energy equal to proton rest energy, its speed is most nearly:
a)
0.25c
b)
0.40c
c)
0.55c
d)
0.70c
e)
0.85c
21.
Two observers O and O' observe two events A and B, moving at relative speed 0.8c. Coordinates of events in O frame:
A: (x=3, y=3, z=3, t=3)
B: (x=5, y=3, z=1, t=5)
What is spacetime interval as measured by O'?
a)
1
b)
√2
c)
2
d)
3
e)
2√3
22.
How does an electromagnetic field behave under a Lorentz transformation?
a)
Electric field transforms completely into magnetic field
b)
Electric field may become both electric and magnetic field
c)
Electric field is unaltered
d)
Magnetic field is unaltered
e)
Cannot be determined unless gauge transformation
23.
Which statement is NOT true about copper and silicon conductivity?
a)
Copper conductivity much greater than silicon
b)
Increasing temperature decreases copper conductivity
c)
Increasing temperature increases silicon conductivity
d)
Impurity in copper decreases conductivity
e)
Impurity in silicon decreases conductivity
24.
Battery charging problem: emf = 100 V, terminal voltage = 120 V at 10 A. What resistance R?
a)
0.1 Ω
b)
0.5 Ω
c)
1.0 Ω
d)
5.0 Ω
e)
10.0 Ω
25.
In a constant electric and magnetic field aligned, the path of the particle is
a)
circle
b)
parabola
c)
helix
d)
cycloid
e)
straight line
26.
Minimum energy to produce x-rays in K series from nickel (Z = 28) is
a)
10 eV
b)
100 eV
c)
1000 eV
d)
10,000 eV
e)
100,000 eV
27.
The hypothesis that an electron possesses spin is significant for all EXCEPT:
a)
Periodic table structure
b)
Metal specific heat
c)
Anomalous Zeeman effect
d)
Electron deflection by magnetic field
e)
Fine atomic spectra
28.
The eigenfunction for a rigid dumbbell rotating about its center has form ψ(ϕ) = Ae^(imϕ). What A normalizes this?
a)
√2π
b)
2π
c)
(2π)²
d)
1/√2π
e)
1/2π
29.
A negative test charge moves opposite to current near a long straight wire. What is the direction of the force?
a)
Toward the wire
b)
Away from the wire
c)
Same as current
d)
Opposite to current
e)
Perpendicular to current and wire
30.
Potassium ground state is 1s²2s²2p⁶3s²3p⁶4s¹. Which is true?
a)
n=3 shell full
b)
4s full
c)
l=4 for outer e⁻
d)
Z = 17
e)
Electron distribution is spherical
31.
When photoelectric equation applies, V is:
a)
Negative value where current stops
b)
Negative value where current starts
c)
Positive value where current stops
d)
Positive value where current starts
e)
Voltage induced by light
32.
Photoelectric equation derived under assumption that:
a)
Electrons in fixed angular momentum orbits
b)
Electrons have λ=h/p
c)
Light emitted by orbital jump
d)
Light absorbed as quanta E=hv
e)
Light behaves as wave
33.
In photoelectric equation, W is:
a)
Energy between orbits
b)
Total absorbed energy
c)
Min photon energy for absorb
d)
Min energy to free electron
e)
Avg electron energy
34.
Potential energy is kx⁴. What is the force?
a)
½mv²
b)
-4kx³
c)
kx⁴
d)
-kx⁵/5
e)
mg
35.
Hamiltonian for system with potential energy kx⁴:
a)
p²/2m + kx⁴
b)
p²/2m - kx⁴
c)
kx⁴
d)
½mv² - kx⁴
e)
½mv²
36.
Which quantity is an extremum for motion between x₁ at t₁ and x₂ at t₂?
a)
∫(½mv² - kx⁴)dt
b)
∫(½mv²)dt
c)
∫(mvx)dt
d)
∫(½mv² + kx⁴)dx
e)
∫(mv)dx
37.
The figure above represents a point mass m attached to the ceiling by a cord of fixed length ℓ. If the point mass moves in a horizontal circle of radius r with uniform angular velocity ω, the tension in the cord is
a)
mg (r/ℓ)
b)
mg cos(θ/ℓ)
c)
mωr/sin(ℓ)
d)
m(ω^2r^2 + g^2)^1/2
e)
m(ω^4r^2 + g^2)^1/2
38.
If logical 0 is 0 volts and logical 1 is +1 volt, the circuit shown above is commonly known as
a)
an OR gate
b)
an AND gate
c)
a 2-bit adder
d)
a flip-flop
e)
a fanout
39.
The gain of an amplifier is plotted versus angular frequency ω. The frequency dependence of the gain near ω = 3×10⁵ s⁻¹ is most accurately expressed by
a)
Ke^−aω
b)
Kω²
c)
Kω
d)
Kω⁻¹
e)
Kω⁻²
40.
An experimenter measures 9934 counts during one hour from a radioactive sample. The standard deviation of the counting rate is most nearly
a)
100
b)
200
c)
300
d)
400
e)
500
41.
Which of the following nuclei has the largest binding energy per nucleon?
a)
Helium
b)
Carbon
c)
Iron
d)
Uranium
e)
Plutonium
42.
A proton beam is incident on a scatterer. The scattering cross section is
a)
10^-29 cm²
b)
10^-27 cm²
c)
10^-25 cm²
d)
10^-23 cm²
e)
10^-21 cm²
43.
Three masses connected by two springs. The mode with frequency 1/2π√(k/m) is exhibited by
a)
A, B, C all moving in same direction
b)
A and C opposite, B at rest
c)
A and C same, B opposite
d)
A and C same, B opposite with 2x amplitude
e)
None of the above
44.
A uniform stick on a frictionless surface is hit by a particle. Speed of center of mass after collision is
a)
m/M * v
b)
m/(M+m) * v
c)
√(m/M) * v
d)
√(m/(M+m)) * v
e)
3m/M * v
45.
Photons of wavelength λ scatter on free protons. The wavelength of the scattered photons is increased by
a)
λ/137
b)
λ/1836
c)
h/mₑc
d)
h/m_pc
e)
zero
46.
A blackbody at T₁ radiates 10mW. At 2T₁ it radiates
a)
10 mW
b)
20 mW
c)
40 mW
d)
80 mW
e)
160 mW
47.
Franck-Hertz experiment shows
a)
Electrons always scatter elastically
b)
Electrons never scatter elastically
c)
Electrons of certain energy are inelastically scattered
d)
Electrons always lose same energy
e)
No energy range for discrete loss
48.
A transition between ψ₁ and ψ₂ is forbidden if
a)
They have opposite parity
b)
They are orthogonal
c)
They are zero at nucleus
d)
They are spherically symmetrical
e)
Different angular momenta
49.
Hamiltonian operator is formed by substituting
a)
wavelength & frequency for energy
b)
differential operator for momentum
c)
transition probability for potential
d)
sums over eigenvalues
e)
Gaussian distributions
50.
The Hall effect is used to measure
a)
ratio of charge to mass
b)
magnetic susceptibility
c)
sign of charge carriers
d)
width of energy gap
e)
Fermi energy
51.
Debye and Einstein theory of specific heat show
a)
avg energy = 3kT
b)
vibrational energy = 3N harmonic oscillators
c)
crystal is continuous
d)
speed of longitudinal wave < transverse
e)
same upper cutoff freq
52.
Potential at the center of a charged cube is
a)
zero
b)
V/2
c)
V/8
d)
V/6
e)
V
53.
Oscillating charged particle. Electric field at P is
a)
±z dir, max at θ=90°
b)
±z dir, min at θ=90°
c)
xy-plane, max at θ=90°
d)
xy-plane, min at θ=90°
e)
xy-plane, max at θ=45°
54.
Polarization charge density at dielectric interface is
a)
σ * K/(K−1)
b)
σ * K/(K+1)
c)
αK
d)
σ(1+K)/K
e)
σ(1−K)/(1+K)
55.
High mean kinetic energy of electrons in metals is explained by
a)
time-energy uncertainty
b)
Pauli exclusion principle
c)
degeneracy of energy levels
d)
Born approximation
e)
wave-particle duality
56.
ψ is a normalized wavefunction. ⟨Q⟩ is given by integrating
a)
normalization constant
b)
spatial overlap
c)
mean value
d)
uncertainty
e)
time derivative
57.
Eigenfunction of linear momentum operator is
a)
cos(kx)
b)
sin(kx)
c)
e^−ikx
d)
e^(ikx)
e)
e^(−kx)
58.
In an ordinary hologram, coherent monochromatic light produces a 3-dimensional picture because wave information is recorded for which of the following?
I. Amplitude
II. Phase
III. Wave-front angular frequency
a)
I only
b)
I and II only
c)
I and III only
d)
II and III only
e)
I, II, and III
59.
The dispersion law for a certain type of wave motion is ω = (c²k² + m²)^½, where ω is the angular frequency, k is the magnitude of the propagation vector, and c and m are constants. The group velocity of these waves approaches
a)
infinity as k→0 and zero as k→∞
b)
infinity as k→0 and c as k→∞
c)
c as k→0 and zero as k→∞
d)
zero as k→0 and infinity as k→∞
e)
zero as k→0 and c as k→∞
60.
A particle of mass m that moves along the x-axis has potential energy V(x) = a + bx², where a and b are positive constants. Its initial velocity is v₀ at x = 0. It will execute simple harmonic motion with a frequency determined by the value of
a)
a alone
b)
b and a alone
c)
b and m alone
d)
b, a, and m alone
e)
b, a, m, and v₀
61.
The constant u represents the speed of the
a)
rocket at t = 0
b)
rocket after its fuel is spent
c)
rocket in its instantaneous rest frame
d)
rocket’s exhaust in a stationary frame
e)
rocket’s exhaust relative to the rocket
62.
The equation can be solved to give v as a function of m. If the rocket has m = m₀ and v = 0 when it starts, what is the solution?
a)
u m/m₀
b)
u exp (m₀/m)
c)
u sin (m₀/m)
d)
u tan (m₀/m)
e)
None of the above
63.
A point charge -q coulombs is placed at a distance d from a large grounded conducting plane. The surface charge density on the plane a distance D from the point charge is
a)
q/4πD
b)
qD/2π
c)
qd/2πD²
d)
qd/2πD³
e)
qd/4πϵ₀D²
64.
An alternating current electrical generator has a fixed internal impedance Rg + jXg and is used to supply power to a passive load that has an impedance Rₗ + jXₗ, where j = √−1, Rg ≠ 0, and Xg ≠ 0. For maximum power transfer between the generator and the load, Xₗ should be equal to
a)
0
b)
Xₗ
c)
Xₗ − Xg
d)
Rg
e)
−Xg
65.
A current i in a circular loop of radius b produces a magnetic field. At a fixed point far from the loop, the strength of the magnetic field is proportional to which of the following combinations of i and b?
a)
ib
b)
ib²
c)
i/b
d)
i/b²
e)
i/b³
66.
For a system in which the number of particles is fixed, the reciprocal of the Kelvin temperature T is given by which of the following derivatives? (Let P = pressure, V = volume, S = entropy, and U = internal energy)
a)
(∂P/∂V)S
b)
(∂P/∂S)V
c)
(∂S/∂P)U
d)
(∂V/∂P)S
e)
(∂S/∂U)V
67.
A large isolated system of N weakly interacting particles is in thermal equilibrium. Each particle has only 3 possible nondegenerate states of energies 0, ε, and 3ε. When the system is at an absolute temperature T >> ε/k, where k is Boltzmann’s constant, the average energy of each particle is
a)
0
b)
ε
c)
3/2 ε
d)
2ε
e)
3ε
68.
If a newly discovered particle X moves with a speed equal to the speed of light in vacuum, then which of the following must be true?
a)
The rest mass of X is zero.
b)
The spin of X equals the spin of a photon.
c)
The charge of X is carried on its surface.
d)
X does not spin.
e)
X cannot be detected.
69.
The velocity of the car in the garage’s rest frame is
a)
0.4 c
b)
0.6 c
c)
0.8 c
d)
greater than c
e)
not determinable from the data given
70.
The length of the garage in the car’s rest frame is
a)
2.4 m
b)
4.0 m
c)
5.0 m
d)
8.3 m
e)
not determinable from the data given
71.
Which of the following statements is the best response to the question:
“Was the car ever inside a closed garage?”
a)
No, because the car is longer than the garage in all reference frames.
b)
No, because the Lorentz contraction is not a “real” effect.
c)
Yes, because the car is shorter than the garage in all reference frames.
d)
Yes, because the answer to the question in the garage’s rest frame must apply in all reference frames.
e)
There is no unique answer to the question, as the order of door openings and closings depends on the reference frame.
72.
The measured index of refraction of x-rays in rock salt is less than one. This is consistent with the theory of relativity because
a)
relativity deals with light waves traveling in a vacuum only
b)
x-ray photons cannot transmit signals
c)
x-ray photons have imaginary mass
d)
the theory of relativity predates the development of solid-state physics
e)
the phase velocity and group velocity are different
73.
It is necessary to coat a glass lens with a non-reflecting layer. If the wavelength of the light in the coating is λ, the best choice is a layer of material having an index of refraction between those of glass and air and a thickness of
a)
λ/4
b)
λ/2
c)
λ/√2
d)
λ
e)
1.5 λ
74.
Unpolarized light is incident on two ideal polarizers in series. The polarizers are oriented so that no light emerges through the second polarizer. A third polarizer is now inserted between the first two and its orientation direction is continuously rotated through 180°. The maximum fraction of the incident power transmitted through all three polarizers is
a)
zero
b)
1/8
c)
1/2
d)
3/4
e)
1
75.
The period of a hypothetical Earth satellite orbiting at sea level would be 80 minutes. In terms of the Earth’s radius RE, the radius of a synchronous satellite orbit (period 24 hours) is most nearly
a)
3 RE
b)
7 RE
c)
18 RE
d)
320 RE
e)
5800 RE
76.
A hoop of mass M and radius R is at rest at the top of an inclined plane as shown above. The hoop rolls down the plane without slipping. When the hoop reaches the bottom, its angular momentum around its center of mass is
a)
MR√gh
b)
1/2 MR√gh
c)
M√2gh
d)
Mgh
e)
1/2 Mgh
100 %
