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1. The kinetic energy of a body projected at the angle of maximum range is E. What will be its kinetic energy at the highest point of its path ? (2)
2. Find the height to which a ball dropped from a height of h m will rebound, assuming g = 10 m/s² and coefficient of restitution = 1. (2)
3. If R is the resistance, X, and X, the inductive and capacitive impedances in a series L-C-R circuit, find the impedance at resonance. (2)
4. If K, and K, are the thermal conductivities of two rods joined in series, what will be the effective thermal conductivity of the combination ? (2)
5. Write down the diode equation and explain the symbols used. (2)
6. What is the difference between an amplifier and an oscillator? (4)
7. Give the truth table for the universal logic gates. (4)
8. Write down the Maxwell's electromagnetic field equations. (4)
9. Explain the principle employed by an acrobat. (4)
10. Explain the Bragg's diffraction condition and name any two X-ray diffraction methods. (4)
11. Show that the capacitance of a parallel place capacitor is proportional to the area of the plates. (5)
12. We know that the refractive index n = √εᵣ. The relative permittivity of water is 80.37 at room temperature, but its refractive index is 1.33. Explain the reason. (5)
13. Explain the formation and difference between primary and secondary rainbow. (5)
14. Show that the side band power is 33.3% of the total power in AM waves. (5)
15. Explain the reason for using oils for frying. Why water cannot be used ? (5)
16. In cold countries pipes with oval cross sections are used for carrying water. Why ? (5)
17. Explain the perpendicular axis theorem in moment of inertia. (5)
18. Show that electrons cannot stay inside a nucleus using uncertainty principle. (7)
19. What is the principle of hydrogen bomb ? (7)
20. Explain Doppler Effect. How is it employed in Astrophysics ? (7)
21. Explain the principle and working of pile of plates. (7)
22. What is the significance of V number ? Obtain its expression. (7)
23. Show that it is not possible to have a two level laser system. (10)
24. Explain Young's modulus and show that a shear is equivalent to a compression and extension. (10)
25. What is Meissner effect ? Also explain type I and type II superconductors. (10)
26. Explain the classical theory of Raman Effect. Why stokes lines are more intense than anti-stokes lines? (10)
27. If you are given two pieces of ice blocks how will you join them. Explain it on the basis of Clausius-Clapeyrons equation. (10)
28. Explain length contraction in special theory of relativity. (10)
29. What is electric potential ? Show that it can be expressed as the line integral of electric field. (10)
30. Explain the concept of ensembles. What are the different types of ensembles ? (10)
31. Derive one dimensional time dependent Schrodinger equation for a particle moving in free space. (10)
32. Obtain the expression for the voltage gain of a negative feedback amplifier and show that how it improves the gain stability. (10)
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