PMS Physics Past Paper 2023 PDF -

PUNJAB PUBLIC SERVICE COMMISSION

Combined Competitive Examination (CCE) 2023

For Recruitment to the Posts of Provincial Management Service (PMS)

SUBJECT: Physics (PAPER-I)

Time Allowed: 3 Hours

MAXIMUM MARKS: 100

NOTE: Attempt Five Questions in All. Attempt in Urdu or English.

Q. No. 1:

a) What are spherical polar coordinates? Define these coordinates. How these are related with Cartesian coordinates $(x, y, z)$ ? Explain direction cosines of a vector.

(4 + 4 + 4 = 12 Marks)
b) Explain vector triple product? Show that:
$\vec{A} \times (\vec{B} \times \vec{C}) = (\vec{A} \cdot \vec{C})\vec{B} - (\vec{A} \cdot \vec{B})\vec{C}$
(8 Marks)

Q. No. 2:

a) Derive the Stokes’ theorem from the fundamental theorem of calculus and the definition of line and surface integrals. Discuss the assumptions and conditions under which Stokes’ theorem holds, and give counterexamples to illustrate when the theorem fails.
b) How is the curl related to the rotation and divergence of a vector field? What are some common properties and identities of the curl?

(10 + 10 = 20 Marks)

Q. No. 3:

a) Define pressure of a fluid. Derive an expression for the pressure gradient between a point inside a fluid and a point at the surface. Determine variation in pressure in the atmosphere.

(14 Marks)
b) A bowler swings a ball while bowling to a cricketer. Explain this swing using Bernoulli’s equation.

(6 Marks)

Q. No. 4:

a) What are stationary waves? How these waves are formed? Describe their characteristics and mathematical treatment.
b) Calculate formula for power and intensity in wave motion.

(10 + 10 = 20 Marks)

Q. No. 5:

a) Explain the phenomenon of interference of waves. What is the difference between constructive and destructive interference? Give an example of each and discuss their applications.
b) Explain the working principle of a spectrometer. How does it measure the spectral distribution of light?

(10 + 10 = 20 Marks)

Q. No. 6:

a) What is coherence and why is it important in the study of wave phenomena? Explain the difference between spatial coherence and temporal coherence.
b) What is the resolving power of a diffraction grating? Derive the equation for the resolving power of a diffraction grating and explain the factors affecting it.

(10 + 10 = 20 Marks)

Q. No. 7:

a) What is the difference between reversible and irreversible processes in thermodynamics? How do reversible processes relate to entropy and energy conservation?

(10 Marks)
b) What is enthalpy and how is it related to internal energy and work?

(5 Marks)
c) What is Brownian motion and how does it occur?

(5 Marks)

Q. No. 8:

a) What is an ideal gas? Calculate pressure of an ideal gas on the basis of kinetic theory of gases. Prove that pressure exerted by ideal gas molecules is directly proportional to the average translational kinetic energy of gas molecules.
b) Considering thermodynamic potentials discuss Maxwell’s relations.

(12 + 8 = 20 Marks)

SUBJECT: Physics (Paper-II)

Time Allowed: 3 Hours
Maximum Marks: 100

Section A

Q. No. 1:

(a) State and explain Ampere’s Law of magnetic field by considering a straight current-carrying conductor.
(b) How can you determine the value of magnetic field inside a current-carrying Solenoid by employing Ampere’s Law?

Q. No. 2:

(a) What is Transient current? Derive its expression for an LR circuit.
(b) What is the Time Constant of an LR circuit?
(c) What percentage of maximum current will appear in an LR circuit after 5 Time Constants?

Section B

Q. No. 3:

(a) Differentiate between the mechanism of current flow through npn and pnp transistors.
(b) What is an amplifier? Describe in detail the transistor as an amplifier using a common-emitter configuration.

Q. No. 4:

(a) What is a NAND gate? Write its truth table, logic equation, and logic operation. Draw and explain its switch equivalent. Why are NAND and NOR gates called universal gates? Explain with an appropriate example.
(b) What is De Morgan’s theorem? Explain its significance. Describe briefly how De Morgan’s theorem is applied in the simplification of a Boolean expression.

Section C

Q. No. 5:

(a) What is the Photoelectric Effect? Explain the experimental results of the Photoelectric set-up.
(b) Describe the following:
1. Threshold Frequency
2. Work Function of a metal
3. Einstein’s equation of Photoelectric Effect
4. Stopping Potential

Q. No. 6:

(a) Derive Time-dependent and Time-independent Schrodinger’s wave equations. What is the importance of a wave function?
(b) Solve Schrodinger’s wave equation for a particle trapped in a one-dimensional box.

Section D

Q. No. 7:

(a) What do you mean by mass defect and binding energy of a nucleus? How does binding energy per nucleon vary as a function of mass number?
(b) State the radioactive law. How will you find the mean life time of a radioactive element? Prove that the mean life time of a radioactive element is always greater than its half-life.

Q. No. 8:

(a) What do you mean by radioactive decay? Discuss the theory of alpha-decay in detail.
(b) Define the half-life of a radioactive element. Derive an expression to find the half-life of a radioactive element.
(c) Explain the reason why nuclei with high mass numbers tend to accommodate more neutrons than protons.

PUNJAB PUBLIC SERVICE COMMISSION

Combined Competitive Examination (CCE) 2023

For Recruitment to the Posts of Provincial Management Service (PMS)

SUBJECT: Physics (PAPER-I)

Time Allowed: 3 Hours

MAXIMUM MARKS: 100

NOTE: Attempt Five Questions in All. Attempt in Urdu or English.

Q. No. 1:

a) What are spherical polar coordinates? Define these coordinates. How these are related with Cartesian coordinates $(x, y, z)$? Explain direction cosines of a vector.

(4 + 4 + 4 = 12 Marks)

b) Explain vector triple product? Show that:

(8 Marks)

Q. No. 2:

a) Derive the Stokes’ theorem from the fundamental theorem of calculus and the definition of line and surface integrals. Discuss the assumptions and conditions under which Stokes’ theorem holds, and give counterexamples to illustrate when the theorem fails.

b) How is the curl related to the rotation and divergence of a vector field? What are some common properties and identities of the curl?

(10 + 10 = 20 Marks)

Q. No. 3:

a) Define pressure of a fluid. Derive an expression for the pressure gradient between a point inside a fluid and a point at the surface. Determine variation in pressure in the atmosphere.

(14 Marks)

b) A bowler swings a ball while bowling to a cricketer. Explain this swing using Bernoulli’s equation.

(6 Marks)

Q. No. 4:

a) What are stationary waves? How these waves are formed? Describe their characteristics and mathematical treatment.

b) Calculate formula for power and intensity in wave motion.

(10 + 10 = 20 Marks)

Q. No. 5:

a) Explain the phenomenon of interference of waves. What is the difference between constructive and destructive interference? Give an example of each and discuss their applications.

b) Explain the working principle of a spectrometer. How does it measure the spectral distribution of light?

(10 + 10 = 20 Marks)

Q. No. 6:

a) What is coherence and why is it important in the study of wave phenomena? Explain the difference between spatial coherence and temporal coherence.

b) What is the resolving power of a diffraction grating? Derive the equation for the resolving power of a diffraction grating and explain the factors affecting it.

(10 + 10 = 20 Marks)

Q. No. 7:

a) What is the difference between reversible and irreversible processes in thermodynamics? How do reversible processes relate to entropy and energy conservation?

(10 Marks)

b) What is enthalpy and how is it related to internal energy and work?

(5 Marks)

c) What is Brownian motion and how does it occur?

(5 Marks)

Q. No. 8:

a) What is an ideal gas? Calculate pressure of an ideal gas on the basis of kinetic theory of gases. Prove that pressure exerted by ideal gas molecules is directly proportional to the average translational kinetic energy of gas molecules.

b) Considering thermodynamic potentials discuss Maxwell’s relations.

(12 + 8 = 20 Marks)

SUBJECT: Physics (Paper-II)

Time Allowed: 3 Hours Maximum Marks: 100

Section A

Q. No. 1:

(a) State and explain Ampere’s Law of magnetic field by considering a straight current-carrying conductor.

(b) How can you determine the value of magnetic field inside a current-carrying Solenoid by employing Ampere’s Law?

Q. No. 2:

(a) What is Transient current? Derive its expression for an LR circuit.

(b) What is the Time Constant of an LR circuit?

(c) What percentage of maximum current will appear in an LR circuit after 5 Time Constants?

Section B

Q. No. 3:

(a) Differentiate between the mechanism of current flow through npn and pnp transistors.

(b) What is an amplifier? Describe in detail the transistor as an amplifier using a common-emitter configuration.

Q. No. 4:

(a) What is a NAND gate? Write its truth table, logic equation, and logic operation. Draw and explain its switch equivalent. Why are NAND and NOR gates called universal gates? Explain with an appropriate example.

(b) What is De Morgan’s theorem? Explain its significance. Describe briefly how De Morgan’s theorem is applied in the simplification of a Boolean expression.

Section C

Q. No. 5:

(a) What is the Photoelectric Effect? Explain the experimental results of the Photoelectric set-up.

(b) Describe the following:

Threshold Frequency

Work Function of a metal

Einstein’s equation of Photoelectric Effect

Stopping Potential

Q. No. 6:

(a) Derive Time-dependent and Time-independent Schrodinger’s wave equations. What is the importance of a wave function?

(b) Solve Schrodinger’s wave equation for a particle trapped in a one-dimensional box.

Section D

Q. No. 7:

(a) What do you mean by mass defect and binding energy of a nucleus? How does binding energy per nucleon vary as a function of mass number?

(b) State the radioactive law. How will you find the mean life time of a radioactive element? Prove that the mean life time of a radioactive element is always greater than its half-life.

Q. No. 8:

(a) What do you mean by radioactive decay? Discuss the theory of alpha-decay in detail.

(b) Define the half-life of a radioactive element. Derive an expression to find the half-life of a radioactive element.

(c) Explain the reason why nuclei with high mass numbers tend to accommodate more neutrons than protons.

a) What are spherical polar coordinates? Define these coordinates. How these are related with Cartesian coordinates $(x, y, z)$ ? Explain direction cosines of a vector.

Time Allowed: 3 Hours
Maximum Marks: 100