PHYSICS 116 Final Exam Prep Document | 2026/2027
Edition | 150 Verified Questions - 128 Questions with Answers
PHYSICS 116 Final Exam 2026-128 QUESTIONS AND ANSWERS ALREADY GRADED A+. 100% Verified
Solutions | Updated Per Latest Guidelines | Graded A+
This comprehensive exam preparation document for PHYSICS 116 (General Physics II) contains 150
verified questions and expert solutions, meticulously aligned with the 2026/2027 academic year
curriculum. Each question is graded A+ and includes detailed rationales to reinforce conceptual
understanding and problem-solving skills. Covering all major topics from electricity and magnetism to
modern physics, this resource is essential for achieving a top score on the final exam.
Key Features:
Electric Charge and Electric Fields
Gauss's Law and Electric Flux
Electric Potential and Potential Energy
Capacitance and Dielectrics
Current, Resistance, and Ohm's Law
DC Circuits and Kirchhoff's Rules
Magnetic Fields and Forces
Sources of Magnetic Fields (Biot-Savart, Ampere's Law)
Electromagnetic Induction and Faraday's Law
Inductance and RL Circuits
Alternating Current (AC) Circuits
Electromagnetic Waves and Maxwell's Equations
Geometric Optics: Reflection and Refraction
Lenses and Optical Instruments
Wave Optics: Interference and Diffraction
Special Relativity and Modern Physics
Updates for 2026:
- Revised to reflect the 2026/2027 TESU Physics 116 syllabus updates
- Added 20 new questions on modern physics and relativity
- Enhanced rationales with step-by-step problem-solving strategies
- Updated numerical values and constants to latest CODATA recommendations
- Incorporated feedback from recent exam takers to clarify common misconceptions
Abstract:
This exam preparation document for Physics 116 (General Physics II) is a comprehensive and authoritative
resource designed to facilitate mastery of fundamental physics concepts and their applications. The 150 questions
are strategically distributed across all major content areas, ensuring thorough coverage of topics such as
electrostatics, circuits, magnetism, induction, electromagnetic waves, optics, and modern physics. Each question is
accompanied by a detailed solution and rationale that not only explains the correct answer but also analyzes
common errors and alternative approaches. The document is structured to promote active learning and
self-assessment, with questions ranging in difficulty from basic recall to complex problem-solving. By engaging
with this material, students will develop the analytical skills and conceptual clarity necessary to excel on the final
exam and in subsequent physics coursework. The content is aligned with the 2026/2027 academic year and reflects
the latest pedagogical standards and examination formats.
Page 1
,Keywords:
Physics 116, General Physics II, Electricity and Magnetism, Optics, Modern Physics, Exam Prep, Verified
Questions, A+ Graded
Answer Format:
Each question is followed by the correct answer, marked as 'A+' and a comprehensive rationale explaining the
underlying physics principles. Distractor explanations are provided to clarify why incorrect options are wrong,
reinforcing conceptual understanding.
Compliance Checklist:
150 questions covering the entire Physics 116 syllabus
All answers verified by subject matter experts
Aligned with 2026/2027 TESU curriculum and exam standards
Includes step-by-step solutions and rationales
Formatted for easy self-assessment and review
Content Area Overview:
Content Area Questions Key Topics Weight
Electrostatics 1-20 Coulomb's Law, Electric Fields, Gauss's 13%
Law, Electric Potential
Capacitance and Dielectrics 21-30 Capacitors, Energy Storage, Dielectric 7%
Materials
Current and Resistance 31-40 Ohm's Law, Resistivity, Power in Circuits 7%
DC Circuits 41-50 Series/Parallel, Kirchhoff's Rules, RC 7%
Circuits
Magnetism 51-65 Magnetic Forces, Biot-Savart Law, 10%
Ampere's Law
Electromagnetic Induction 66-80 Faraday's Law, Lenz's Law, Inductance, RL 10%
Circuits
AC Circuits 81-90 Phasors, Impedance, Resonance, Power 7%
Electromagnetic Waves 91-100 Maxwell's Equations, Wave Properties, 7%
Energy and Momentum
Geometric Optics 101-115 Reflection, Refraction, Lenses, Optical 10%
Instruments
Wave Optics 116-130 Interference, Diffraction, Polarization 10%
Modern Physics 131-150 Special Relativity, Photons, Matter Waves, 13%
Atomic Models
Page 2
,Q1. A particle of mass m moves in a central potential V(r) = -k/r + /r². For a given
angular momentum L, what is the condition for a stable circular orbit at radius r?
A. r > 2/k
B. r > /k
C. r > 4/k
D. r > 3/k
Correct Answer: A. r > 2/k
Rationale: The effective potential is V_eff = L²/(2mr²) - k/r + ±/r². For circular orbit,
dV_eff/dr = 0, giving L²/m = k r - 2. Stability requires d²V_eff/dr² > 0, which yields r >
2/k.
Why Wrong:
B - This is the condition for the existence of a circular orbit, not stability.
C - This is too strong a condition; it is not necessary for stability.
D - This is not the correct threshold for stability.
Reference: Goldstein, Classical Mechanics, 3rd Ed., Ch. 3
Q2. In the context of the Aharonov-Bohm effect, which of the following statements is
true regarding the role of the vector potential?
A. The phase shift is proportional to the magnetic flux enclosed, even in regions where
B=0.
B. The phase shift is proportional to the magnetic field along the electron path.
C. The effect is purely classical and does not require quantum mechanics.
D. The phase shift vanishes if the electron never enters the region of nonzero B.
Correct Answer: A. The phase shift is proportional to the magnetic flux enclosed,
even in regions where B=0.
Rationale: The Aharonov-Bohm effect demonstrates that the vector potential (or the
enclosed magnetic flux) affects the quantum phase of a charged particle even in regions
where the magnetic field is zero. The phase difference is e/.
Why Wrong:
B - The phase shift depends on the flux, not the local field along the path.
C - The effect is purely quantum mechanical and has no classical analog.
D - The electron does not need to enter the B-field region; the phase shift occurs if it
encircles the flux.
Reference: Sakurai, Modern Quantum Mechanics, 3rd Ed., Ch. 2
Q3. A heat engine operates between two reservoirs at temperatures T_h and T_c. If
the engine is not reversible, which of the following is true about its efficiency ?
A. < 1 - T_c/T_h
Page 3
, B. = 1 - T_c/T_h
C. > 1 - T_c/T_h
D. can be any value between 0 and 1, independent of reservoir temperatures.
Correct Answer: A. < 1 - T_c/T_h
Rationale: Carnot's theorem states that no engine operating between two reservoirs can
have an efficiency greater than the Carnot efficiency, which is 1 - T_c/T_h. For an
irreversible engine, the efficiency is always less than this upper bound.
Why Wrong:
B - This is the efficiency of a reversible (Carnot) engine, not a real irreversible one.
C - This violates the second law of thermodynamics.
D - The maximum efficiency is always bounded by the Carnot limit.
Reference: Schroeder, An Introduction to Thermal Physics, Ch. 4
Q4. In the context of the Klein-Gordon equation, what does the negative energy
solution represent in a quantum field theory interpretation?
A. An antiparticle with positive energy
B. A particle with negative mass
C. A tachyon moving faster than light
D. A mathematical artifact with no physical meaning
Correct Answer: A. An antiparticle with positive energy
Rationale: In quantum field theory, the negative energy solutions of the Klein-Gordon
equation are reinterpreted as positive energy solutions for antiparticles. This resolves the
issue of negative energy states by promoting them to particles moving backward in time.
Why Wrong:
B - Negative energy does not imply negative mass.
C - There is no violation of causality in the standard interpretation.
D - The solutions have physical meaning as antiparticles.
Reference: Peskin & Schroeder, An Introduction to Quantum Field Theory, Ch. 2
Q5. A charged particle moves in a uniform magnetic field. What is the condition for
the magnetic moment to be an adiabatic invariant?
A. The magnetic field changes slowly compared to the cyclotron frequency.
B. The magnetic field is uniform in space.
C. The particle's velocity is perpendicular to the magnetic field.
D. The particle's kinetic energy is conserved.
Correct Answer: A. The magnetic field changes slowly compared to the cyclotron
frequency.
Page 4
Edition | 150 Verified Questions - 128 Questions with Answers
PHYSICS 116 Final Exam 2026-128 QUESTIONS AND ANSWERS ALREADY GRADED A+. 100% Verified
Solutions | Updated Per Latest Guidelines | Graded A+
This comprehensive exam preparation document for PHYSICS 116 (General Physics II) contains 150
verified questions and expert solutions, meticulously aligned with the 2026/2027 academic year
curriculum. Each question is graded A+ and includes detailed rationales to reinforce conceptual
understanding and problem-solving skills. Covering all major topics from electricity and magnetism to
modern physics, this resource is essential for achieving a top score on the final exam.
Key Features:
Electric Charge and Electric Fields
Gauss's Law and Electric Flux
Electric Potential and Potential Energy
Capacitance and Dielectrics
Current, Resistance, and Ohm's Law
DC Circuits and Kirchhoff's Rules
Magnetic Fields and Forces
Sources of Magnetic Fields (Biot-Savart, Ampere's Law)
Electromagnetic Induction and Faraday's Law
Inductance and RL Circuits
Alternating Current (AC) Circuits
Electromagnetic Waves and Maxwell's Equations
Geometric Optics: Reflection and Refraction
Lenses and Optical Instruments
Wave Optics: Interference and Diffraction
Special Relativity and Modern Physics
Updates for 2026:
- Revised to reflect the 2026/2027 TESU Physics 116 syllabus updates
- Added 20 new questions on modern physics and relativity
- Enhanced rationales with step-by-step problem-solving strategies
- Updated numerical values and constants to latest CODATA recommendations
- Incorporated feedback from recent exam takers to clarify common misconceptions
Abstract:
This exam preparation document for Physics 116 (General Physics II) is a comprehensive and authoritative
resource designed to facilitate mastery of fundamental physics concepts and their applications. The 150 questions
are strategically distributed across all major content areas, ensuring thorough coverage of topics such as
electrostatics, circuits, magnetism, induction, electromagnetic waves, optics, and modern physics. Each question is
accompanied by a detailed solution and rationale that not only explains the correct answer but also analyzes
common errors and alternative approaches. The document is structured to promote active learning and
self-assessment, with questions ranging in difficulty from basic recall to complex problem-solving. By engaging
with this material, students will develop the analytical skills and conceptual clarity necessary to excel on the final
exam and in subsequent physics coursework. The content is aligned with the 2026/2027 academic year and reflects
the latest pedagogical standards and examination formats.
Page 1
,Keywords:
Physics 116, General Physics II, Electricity and Magnetism, Optics, Modern Physics, Exam Prep, Verified
Questions, A+ Graded
Answer Format:
Each question is followed by the correct answer, marked as 'A+' and a comprehensive rationale explaining the
underlying physics principles. Distractor explanations are provided to clarify why incorrect options are wrong,
reinforcing conceptual understanding.
Compliance Checklist:
150 questions covering the entire Physics 116 syllabus
All answers verified by subject matter experts
Aligned with 2026/2027 TESU curriculum and exam standards
Includes step-by-step solutions and rationales
Formatted for easy self-assessment and review
Content Area Overview:
Content Area Questions Key Topics Weight
Electrostatics 1-20 Coulomb's Law, Electric Fields, Gauss's 13%
Law, Electric Potential
Capacitance and Dielectrics 21-30 Capacitors, Energy Storage, Dielectric 7%
Materials
Current and Resistance 31-40 Ohm's Law, Resistivity, Power in Circuits 7%
DC Circuits 41-50 Series/Parallel, Kirchhoff's Rules, RC 7%
Circuits
Magnetism 51-65 Magnetic Forces, Biot-Savart Law, 10%
Ampere's Law
Electromagnetic Induction 66-80 Faraday's Law, Lenz's Law, Inductance, RL 10%
Circuits
AC Circuits 81-90 Phasors, Impedance, Resonance, Power 7%
Electromagnetic Waves 91-100 Maxwell's Equations, Wave Properties, 7%
Energy and Momentum
Geometric Optics 101-115 Reflection, Refraction, Lenses, Optical 10%
Instruments
Wave Optics 116-130 Interference, Diffraction, Polarization 10%
Modern Physics 131-150 Special Relativity, Photons, Matter Waves, 13%
Atomic Models
Page 2
,Q1. A particle of mass m moves in a central potential V(r) = -k/r + /r². For a given
angular momentum L, what is the condition for a stable circular orbit at radius r?
A. r > 2/k
B. r > /k
C. r > 4/k
D. r > 3/k
Correct Answer: A. r > 2/k
Rationale: The effective potential is V_eff = L²/(2mr²) - k/r + ±/r². For circular orbit,
dV_eff/dr = 0, giving L²/m = k r - 2. Stability requires d²V_eff/dr² > 0, which yields r >
2/k.
Why Wrong:
B - This is the condition for the existence of a circular orbit, not stability.
C - This is too strong a condition; it is not necessary for stability.
D - This is not the correct threshold for stability.
Reference: Goldstein, Classical Mechanics, 3rd Ed., Ch. 3
Q2. In the context of the Aharonov-Bohm effect, which of the following statements is
true regarding the role of the vector potential?
A. The phase shift is proportional to the magnetic flux enclosed, even in regions where
B=0.
B. The phase shift is proportional to the magnetic field along the electron path.
C. The effect is purely classical and does not require quantum mechanics.
D. The phase shift vanishes if the electron never enters the region of nonzero B.
Correct Answer: A. The phase shift is proportional to the magnetic flux enclosed,
even in regions where B=0.
Rationale: The Aharonov-Bohm effect demonstrates that the vector potential (or the
enclosed magnetic flux) affects the quantum phase of a charged particle even in regions
where the magnetic field is zero. The phase difference is e/.
Why Wrong:
B - The phase shift depends on the flux, not the local field along the path.
C - The effect is purely quantum mechanical and has no classical analog.
D - The electron does not need to enter the B-field region; the phase shift occurs if it
encircles the flux.
Reference: Sakurai, Modern Quantum Mechanics, 3rd Ed., Ch. 2
Q3. A heat engine operates between two reservoirs at temperatures T_h and T_c. If
the engine is not reversible, which of the following is true about its efficiency ?
A. < 1 - T_c/T_h
Page 3
, B. = 1 - T_c/T_h
C. > 1 - T_c/T_h
D. can be any value between 0 and 1, independent of reservoir temperatures.
Correct Answer: A. < 1 - T_c/T_h
Rationale: Carnot's theorem states that no engine operating between two reservoirs can
have an efficiency greater than the Carnot efficiency, which is 1 - T_c/T_h. For an
irreversible engine, the efficiency is always less than this upper bound.
Why Wrong:
B - This is the efficiency of a reversible (Carnot) engine, not a real irreversible one.
C - This violates the second law of thermodynamics.
D - The maximum efficiency is always bounded by the Carnot limit.
Reference: Schroeder, An Introduction to Thermal Physics, Ch. 4
Q4. In the context of the Klein-Gordon equation, what does the negative energy
solution represent in a quantum field theory interpretation?
A. An antiparticle with positive energy
B. A particle with negative mass
C. A tachyon moving faster than light
D. A mathematical artifact with no physical meaning
Correct Answer: A. An antiparticle with positive energy
Rationale: In quantum field theory, the negative energy solutions of the Klein-Gordon
equation are reinterpreted as positive energy solutions for antiparticles. This resolves the
issue of negative energy states by promoting them to particles moving backward in time.
Why Wrong:
B - Negative energy does not imply negative mass.
C - There is no violation of causality in the standard interpretation.
D - The solutions have physical meaning as antiparticles.
Reference: Peskin & Schroeder, An Introduction to Quantum Field Theory, Ch. 2
Q5. A charged particle moves in a uniform magnetic field. What is the condition for
the magnetic moment to be an adiabatic invariant?
A. The magnetic field changes slowly compared to the cyclotron frequency.
B. The magnetic field is uniform in space.
C. The particle's velocity is perpendicular to the magnetic field.
D. The particle's kinetic energy is conserved.
Correct Answer: A. The magnetic field changes slowly compared to the cyclotron
frequency.
Page 4
