PMS Physics Past Paper 2026 PDF -

PUNJAB PUBLIC SERVICE COMMISSION

Combined Competitive Examination (CCE) 2025

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) State and prove Gauss’s theorem. What are some common applications of Gauss’s theorem in different branches of mathematics and physics?
- b) Define Simple Harmonic Motion. Derive equation of motion of Simple Harmonic Oscillator and write its solution. (10+10=20 Marks)
Q No. 2
- a) Calculate the rotational inertia of a solid body about an axis passing through its center and perpendicular to its axis of symmetry.
- b) What is a gyroscope? Describe its constructional design, working principle and applications. How will you find the precessional angular velocity of a gyroscope? (8+12=20 Marks)
Q No. 3

Derive Bernoulli’s theorem and provide examples of its practical applications in fluid dynamics. (20 Marks)
Q No. 4
- a) What is viscosity? Derive its mathematical formulation. Discuss effect of temperature on viscosity.
- b) Establish a relationship between speed and pressure of a fluid using Bernoulli’s equation.
- c) Define and explain Pascal’s principle for fluids. (8+7+5=20 Marks)
Q No. 5
- a) What is a physical pendulum? Derive its equation of motion. Find its time period and length of equivalent simple pendulum.
- b) What are travelling waves? Describe their mathematical formulation and hence discuss phase velocity. (12+8=20 Marks)
Q No. 6
- a) A laser emits light with a wavelength of $500\text{ nm}$ and a power output of $1\text{ mW}$ .
  
  (i) What is the frequency of the emitted light?
  
  (ii) How many photons are emitted per second?
  
  (iii) What is the energy of each photon?
  
  (iv) If the laser beam is focused to a spot with a diameter of $2\text{ mm}$ , what is the intensity of the light at the center of the spot?
- b) What is normal and anomalous dispersion? Explain the difference between the two types of dispersion and give examples of materials that exhibit each type. (12+8=20 Marks)
Q No. 7
- a) What is the kinetic theory of gases and how does it explain the behavior of gases? What are the assumptions of the kinetic theory of gases?
- b) What are the methods used for producing low temperatures and what are their limitations? (10+10=20 Marks)
Q No. 8
- a) Define entropy. Show that change in entropy for a reversible process is always greater than zero.
- b) Calculate the numerical value of specific heat at constant pressure ( $C_p$ ) and specific heat at constant volume ( $C_v$ ) for a mono, di and polyatomic gas. (10+10=20 Marks)

SUBJECT: Physics (PAPER-II)

Time Allowed: 3 Hours

MAXIMUM MARKS: 100

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

Q No. 1
- a) Differentiate between magnetic moment and magnetization. Explain the mathematical correlation between orbital angular momentum and magnetic dipole moment, and hence derive a relationship to find the value of Bohr Magneton.
- b) Explain the characteristic features of Ferromagnetism. (12+8=20 Marks)
Q No. 2
- a) Derive Integral form of Gauss’s Law for a Dielectric Medium.
- b) Calculate Electric Field Strength inside a parallel plate capacitor. Assume that Area of each plate = $100\text{ cm}^2$ , separation between plates = $1.0\text{ cm}$ , Potential difference = $100\text{ Volts}$ , Capacitance of the capacitor = $8.9\text{ pF}$ . (10+10=20 Marks)
Q No. 3
- a) What is Amplitude Modulation? How can you use a Triode Tube for Amplitude Modulation?
- b) Describe the followings: (i) Modulation Index (ii) Thermionic Emission (iii) Space Charge Effect (11+9=20 Marks)
Q No. 4
- a) What do you mean by a flip-flop circuit? Draw the circuit diagram of a J-K flip-flop and describe its working. Explain the process of converting a J-K flip flop into S-R flip-flop.
- b) What are decoders? Sketch a diagram for a general decoder. Explain briefly a BCD to decimal decoder. (12+8=20 Marks)
Q No. 5
- a) Discuss Davison-Germer experiment in detail focusing on its experimental set up, working and results. How the de-Broglie wavelength of a moving electron was determined and dual nature of radiation and matter was verified using this experiment?
- b) Write a comprehensive note on spin of electron. (15+5=20 Marks)
Q No. 6
- a) Define Compton Effect. Derive an expression for Compton Shift in wavelength.
- b) If the wavelength of incident X-rays is $1.5\text{ \AA}$ , calculate the frequency of X-rays scattered at an angle of $60^\circ$ in Compton Scattering. ( $h = 6.63 \times 10^{-34}\text{ J.s}$ , $m = 9.11 \times 10^{-31}\text{ Kg}$ , $c = 3 \times 10^8\text{ m/s}$ ) (12+8=20 Marks)
Q No. 7
- a) What is a Cyclotron? Explain its construction and operation.
- b) A cyclotron accelerates a proton up to the Kinetic energy of $4\text{ MeV}$ under the action of external magnetic field of $4\text{T}$ . Calculate the radius of the cyclotron. Where mass of proton = $1.67 \times 10^{-27}\text{ Kg}$ . (12+8=20 Marks)
Q No. 8
- a) What do you mean by particle accelerators? Discuss the construction and working of a cyclotron.
- b) What is the significance of nuclear models? Discuss the independent particle model in detail. (10+10=20 Marks)

PUNJAB PUBLIC SERVICE COMMISSION

Combined Competitive Examination (CCE) 2025

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) State and prove Gauss’s theorem. What are some common applications of Gauss’s theorem in different branches of mathematics and physics?

b) Define Simple Harmonic Motion. Derive equation of motion of Simple Harmonic Oscillator and write its solution. (10+10=20 Marks)

Q No. 2

a) Calculate the rotational inertia of a solid body about an axis passing through its center and perpendicular to its axis of symmetry.

b) What is a gyroscope? Describe its constructional design, working principle and applications. How will you find the precessional angular velocity of a gyroscope? (8+12=20 Marks)

Q No. 3

Derive Bernoulli’s theorem and provide examples of its practical applications in fluid dynamics. (20 Marks)

Q No. 4

a) What is viscosity? Derive its mathematical formulation. Discuss effect of temperature on viscosity.

b) Establish a relationship between speed and pressure of a fluid using Bernoulli’s equation.

c) Define and explain Pascal’s principle for fluids. (8+7+5=20 Marks)

Q No. 5

a) What is a physical pendulum? Derive its equation of motion. Find its time period and length of equivalent simple pendulum.

b) What are travelling waves? Describe their mathematical formulation and hence discuss phase velocity. (12+8=20 Marks)

Q No. 6

a) A laser emits light with a wavelength of $500\text{ nm}$ and a power output of $1\text{ mW}$.

(i) What is the frequency of the emitted light?

(ii) How many photons are emitted per second?

(iii) What is the energy of each photon?

(iv) If the laser beam is focused to a spot with a diameter of $2\text{ mm}$, what is the intensity of the light at the center of the spot?

b) What is normal and anomalous dispersion? Explain the difference between the two types of dispersion and give examples of materials that exhibit each type. (12+8=20 Marks)

Q No. 7

a) What is the kinetic theory of gases and how does it explain the behavior of gases? What are the assumptions of the kinetic theory of gases?

b) What are the methods used for producing low temperatures and what are their limitations? (10+10=20 Marks)

Q No. 8

a) Define entropy. Show that change in entropy for a reversible process is always greater than zero.

b) Calculate the numerical value of specific heat at constant pressure ($C_p$) and specific heat at constant volume ($C_v$) for a mono, di and polyatomic gas. (10+10=20 Marks)

SUBJECT: Physics (PAPER-II)

Time Allowed: 3 Hours

MAXIMUM MARKS: 100

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

Q No. 1

a) Differentiate between magnetic moment and magnetization. Explain the mathematical correlation between orbital angular momentum and magnetic dipole moment, and hence derive a relationship to find the value of Bohr Magneton.

b) Explain the characteristic features of Ferromagnetism. (12+8=20 Marks)

Q No. 2

a) Derive Integral form of Gauss’s Law for a Dielectric Medium.

b) Calculate Electric Field Strength inside a parallel plate capacitor. Assume that Area of each plate = 100 cm2, separation between plates = 1.0 cm, Potential difference = 100 Volts, Capacitance of the capacitor = 8.9 pF. (10+10=20 Marks)

Q No. 3

a) What is Amplitude Modulation? How can you use a Triode Tube for Amplitude Modulation?

b) Describe the followings: (i) Modulation Index (ii) Thermionic Emission (iii) Space Charge Effect (11+9=20 Marks)

Q No. 4

a) What do you mean by a flip-flop circuit? Draw the circuit diagram of a J-K flip-flop and describe its working. Explain the process of converting a J-K flip flop into S-R flip-flop.

b) What are decoders? Sketch a diagram for a general decoder. Explain briefly a BCD to decimal decoder. (12+8=20 Marks)

Q No. 5

a) Discuss Davison-Germer experiment in detail focusing on its experimental set up, working and results. How the de-Broglie wavelength of a moving electron was determined and dual nature of radiation and matter was verified using this experiment?

b) Write a comprehensive note on spin of electron. (15+5=20 Marks)

Q No. 6

a) Define Compton Effect. Derive an expression for Compton Shift in wavelength.

b) If the wavelength of incident X-rays is 1.5 A˚, calculate the frequency of X-rays scattered at an angle of 60∘ in Compton Scattering. (h=6.63×10−34 J.s, m=9.11×10−31 Kg, c=3×108 m/s) (12+8=20 Marks)

Q No. 7

a) What is a Cyclotron? Explain its construction and operation.

b) A cyclotron accelerates a proton up to the Kinetic energy of 4 MeV under the action of external magnetic field of 4T. Calculate the radius of the cyclotron. Where mass of proton = 1.67×10−27 Kg. (12+8=20 Marks)

Q No. 8

a) What do you mean by particle accelerators? Discuss the construction and working of a cyclotron.

b) What is the significance of nuclear models? Discuss the independent particle model in detail. (10+10=20 Marks)

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a) A laser emits light with a wavelength of $500\text{ nm}$ and a power output of $1\text{ mW}$ .

(iv) If the laser beam is focused to a spot with a diameter of $2\text{ mm}$ , what is the intensity of the light at the center of the spot?

b) Calculate the numerical value of specific heat at constant pressure ( $C_p$ ) and specific heat at constant volume ( $C_v$ ) for a mono, di and polyatomic gas. (10+10=20 Marks)

b) Calculate Electric Field Strength inside a parallel plate capacitor. Assume that Area of each plate = $100\text{ cm}^2$ , separation between plates = $1.0\text{ cm}$ , Potential difference = $100\text{ Volts}$ , Capacitance of the capacitor = $8.9\text{ pF}$ . (10+10=20 Marks)

b) If the wavelength of incident X-rays is $1.5\text{ \AA}$ , calculate the frequency of X-rays scattered at an angle of $60^\circ$ in Compton Scattering. ( $h = 6.63 \times 10^{-34}\text{ J.s}$ , $m = 9.11 \times 10^{-31}\text{ Kg}$ , $c = 3 \times 10^8\text{ m/s}$ ) (12+8=20 Marks)

b) A cyclotron accelerates a proton up to the Kinetic energy of $4\text{ MeV}$ under the action of external magnetic field of $4\text{T}$ . Calculate the radius of the cyclotron. Where mass of proton = $1.67 \times 10^{-27}\text{ Kg}$ . (12+8=20 Marks)