Engineering Physics PYQ 2025-26 AKTU Question Paper

Engineering Physics AKTU syllabus

1. Unit 1: Quantum Mechanics
2. Unit 2: Electromagnetic Field Theory
3. Unit 3: Wave Optics
4. Unit 4: Fiber Optics and Laser
5. Unit 5: Superconductors and Nano-Materials

Questions in Engineering Physics AKTU PYQ 2025-26

1. Q1a. Calculate the energy difference between the ground state and the first excited state for an electron in a one-dimensional rigid box of length 10⁻¹⁰ m. (2 marks, 2025-26)
2. Q1a. A 100 KeV X-ray photon strikes a heavy substance. Calculate the energy of photon, Compton scattered through an angle of 90°? (2 marks, 2025-26)
3. Q1b. State the physical significance of displacement current in Maxwell's equations. (2 marks, 2025-26)
4. Q1b. Distinguish between conduction current and displacement current. (2 marks, 2025-26)
5. Q1c. For a plane transmission grating with 5000 lines/cm, determine the highest order of spectrum observable with light of 6000 Å. (2 marks, 2025-26)
6. Q1c. Explain Rayleigh’s criterion of resolution. (2 marks, 2025-26)
7. Q1d. Differentiate between spontaneous emission and stimulated emission of radiation. (2 marks, 2025-26)
8. Q1d. In an optical fibre, the core material has refractive index 1.6 and refractive index of clad material is 1.3. What is the value of critical angle? (2 marks, 2025-26)
9. Q1e. Explain the role of population inversion in laser action. (2 marks, 2025-26)
10. Q1e. Sketch the temperature dependence of resistivity for a superconducting material. (2 marks, 2025-26)
11. Q1f. State any two important properties of quantum dots and mention their significance. (2 marks, 2025-26)
12. Q1f. Write physical interpretation of wave function. (2 marks, 2025-26)
13. Q1g. What is meant by persistent current? (2 marks, 2025-26)
14. Q1g. Find the unit vector normal to the given surface $xy^3z^2 = 10$ at a point (-1, -1, 2). (2 marks, 2025-26)
15. Q2a. Describe the Davisson–Germer experiment with a neat diagram. How does this experiment verify de Broglie's hypothesis of matter waves? (7 marks, 2025-26)
16. Q2a. Consider a particle trapped in an infinite potential box of width a, $V(x)=0$ for $0<x<a$ and $V(x)=\infty$ otherwise. Write the Schrodinger equation for this particle and hence get the expressions for the energy eigen values and energy eigen functions for the particle. Draw its first four energy… (7 marks, 2025-26)
17. Q2b. Explain the concept of Poynting vector and discuss its physical meaning. (7 marks, 2025-26)
18. Q2b. Drive the wave equation for propagation of electric field $\vec{E}$ and magnetic field $\vec{B}$ in vacuum. (7 marks, 2025-26)
19. Q2c. Discuss the formation of interference fringes due to a thin wedge-shaped film as seen by normally reflected sodium light. Derive an expression for the fringe width. (7 marks, 2025-26)
20. Q2c. Explain the resolving power of grating. Derive expression for resolving power of grating. (7 marks, 2025-26)
21. Q2d. What is the difference between step index fibre and graded index fibre? Explain with suitable diagrams. Also discuss the mechanism of light propagation in both types of optical fibres. (7 marks, 2025-26)
22. Q2d. What is optical fibre? Discuss the principle behind the transmission of light in an optical fibre. Also describe (i) step index fibre, (ii) graded index fibre. (7 marks, 2025-26)
23. Q2e. Explain Type-I and Type-II superconductors. (7 marks, 2025-26)
24. Q2e. Differentiate between a quantum dot and quantum nanoparticles. How properties of nanomaterials are different from their bulk counterpart. Write any four fascinating applications of nanomaterials. (7 marks, 2025-26)
25. Q3a. Explain the concept of black body radiation and state the main features of Planck's radiation law. (7 marks, 2025-26)
26. Q3a. If $\Psi(x)$ represents wave function of a particle, discuss the physical reason why both, the wave function $\Psi(x)$ and its derivative $\frac{\partial\Psi}{\partial x}$, must have to be finite and continuous. (7 marks, 2025-26)
27. Q3b. Write and solve the Schrödinger wave equation for a particle in a one-dimensional infinite potential box and obtain its eigenfunctions and eigenvalues. (7 marks, 2025-26)
28. Q3b. A particle is trapped in one-dimensional box of width L. Calculate the expectation value $\langle p_x \rangle$. Discuss the significance of your result. Find the momentum eigenvalues and momentum eigenfunctions for the particle. (7 marks, 2025-26)
29. Q4a. Deduce the equation for the propagation of plane electromagnetic waves in the free space. Show that the electric and magnetic vectors are normal to each other and to the direction of propagation of the wave. (7 marks, 2025-26)
30. Q4a. Starting from Maxwell’s equations, derive equation of continuity $\operatorname{div}\mathbf{J}+\frac{\partial\rho}{\partial t}=0$. Discuss the physical significance of displacement current and its limitations. (7 marks, 2025-26)
31. Q4b. Explain the principle of conservation of electric charge and discuss its importance in electromagnetic theory. (7 marks, 2025-26)
32. Q4b. State and derive the Poynting theorem starting from Maxwell’s equations. Explain the physical significance of each term in the theorem. (7 marks, 2025-26)
33. Q5a. Explain and obtain the condition of absent spectra in plane transmission grating. If the width d of the opaque space (ruling) is equal to the width e of the transparent space, which orders will be absent? Which if d = 2e? (7 marks, 2025-26)
34. Q5a. What are the coherent sources? Also explain the phenomenon of Newton’s Rings. Calculate the thickness of a soap film ($\mu=1.33$) that gives constructive second interference of reflected red colour ($\lambda=700$ nm) incident in the form of a parallel beam a 30° with the normal. (7 marks, 2025-26)
35. Q5b. Discuss Fraunhofer Diffraction of light at a double slit and obtain the conditions for diffraction and interference maxima and minima. (7 marks, 2025-26)
36. Q5b. What is diffraction? Explain types of diffraction bands produced in Fraunhofer diffraction at a single slit and show that the relative intensities of the successive maxima are $1:\frac{4}{9\pi^2}:\frac{4}{25\pi^2}:\frac{4}{49\pi^2}:\ldots$. (7 marks, 2025-26)
37. Q6a. Describe the construction and working principle of a He-Ne laser with the help of a suitable diagram. (7 marks, 2025-26)
38. Q6a. Explain the following: (i) Spontaneous and stimulated emission of radiation (ii) Population inversion (iii) He-Ne laser. (7 marks, 2025-26)
39. Q6b. What are the sources of attenuation of signal in an optical fibre? Explain. (7 marks, 2025-26)
40. Q6b. Describe the different types of optical fibres on the basis of refractive index profile. Derive an expression for the numerical aperture of a step-index fibre in terms of the refractive index of the core and the refractive index difference between the core and cladding (7 marks, 2025-26)

Engineering Physics previous year papers

• PYQ 2024-25
• PYQ (Combined Papers)

More Engineering Physics resources

• Handwritten Notes: Unit 1 Handwritten Notes
• Handwritten Notes: Unit 4 Handwritten Notes
• Handwritten Notes: Unit 5 Handwritten Notes
• Important Questions: Important Questions (All Units)
• Notes: Unit 1 Notes
• Notes: Unit 2 Notes
• Notes: Unit 3 Notes
• Notes: Unit 4 Notes
• Notes: Unit 5 Notes

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• Engineering Physics PYQ 2025-26 Sem 2

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