1. Einstein’s mass-energy relation (E=mc²) is relevant to:

A. Elastic collisions in mechanics B. The energy produced in nuclear reactions C. The behavior of gases under pressure D. Diffraction patterns of X-rays

2. In vector addition, which of the following is true?

A. Vectors subtract only if they are orthogonal B. Resultant vector depends on both magnitude and direction of components C. The order of addition changes the resultant vector D. Scalars are treated the same as vectors in addition

3. How do electric and magnetic fields interact in an electromagnetic wave?

A. They oscillate in phase and perpendicular to each other and to the direction of propagation B. They are parallel and in phase C. They do not interact D. They cancel out each other

4. Which law explains why a current is induced in a coil when magnetic flux changes?

A. Faraday's Law B. Ohm's Law C. Coulomb’s Law D. Ampere’s Law

5. In an L-C-R series circuit at resonance, which of the following is true?

A. Inductive reactance equals capacitive reactance and the circuit current is maximum B. Capacitance is zero and resistance is maximal C. The circuit behaves like a purely resistive circuit with zero current D. The circuit stores maximum potential energy but no current flows

6. Why is it necessary to apply dimensional analysis in physics?

A. To convert experimental data into theoretical predictions B. To check the consistency and correctness of physical equations C. To measure physical quantities with absolute accuracy D. To understand the electromagnetic spectrum

7. According to the Heisenberg Uncertainty Principle:

A. You can exactly measure momentum and position simultaneously B. It is impossible to simultaneously measure both position and momentum precisely C. Energy and mass have a fixed relation D. Particles move in deterministic paths

8. How is capacitance affected if the distance between the plates of a capacitor is decreased?

A. Capacitance decreases B. Capacitance increases C. Capacitance remains constant D. Capacitance becomes zero

9. How does the doping of semiconductors affect their electrical properties?

A. It increases the resistance by introducing impurities B. It changes the energy bands, creating more charge carriers C. It removes electrons from the conduction band D. It neutralizes intrinsic semiconductors making them insulators

10. What distinguishes uniform velocity from uniform acceleration?

A. Uniform velocity means zero acceleration B. Uniform velocity means increasing speed C. Uniform acceleration means constant speed D. Uniform acceleration occurs only in circular motion

11. Which physical quantity is conserved in elastic collisions but not necessarily in inelastic collisions?

A. Total mass B. Total kinetic energy C. Momentum of individual particles D. Electrical charge

12. What is the main difference between elastic and inelastic collisions?

A. Elastic collisions conserve kinetic energy; inelastic do not B. Inelastic collisions do not conserve momentum C. Elastic collisions involve only gases D. Inelastic collisions have zero energy transformation

13. What is the physical significance of the Rayleigh criterion in optics?

A. It determines the critical angle for total internal reflection B. It defines the resolving power of optical instruments C. It relates the frequency of light to energy D. It measures optical polarization effects

14. What principle explains the functioning of a transformer?

A. Lenz’s Law B. Faraday’s Law of Induction C. Kirchhoff’s Current Law D. Newton’s Law

15. The Compton effect demonstrates that:

A. Electrons emit X-rays when accelerated B. Light behaves as a wave when diffracted C. Photons can scatter off electrons showing particle nature of light D. Charges generate magnetic fields

16. How is the moment of a force related to torque?

A. They are unrelated concepts B. Moment is the torque produced by a force about a pivot C. Torque equals moment squared D. Torque acts only on linear motion

17. What is the relation between electric potential and electric field?

A. Electric potential is the gradient of electric field B. Electric field is the negative gradient (spatial rate of change) of electric potential C. They are independent of each other D. Potential causes magnetic field

18. What does the Stefan-Boltzmann law state about blackbody radiation?

A. Total energy radiated per unit surface area is proportional to the fourth power of temperature B. Energy depends only on wavelength C. Energy remains constant regardless of temperature D. Intensity decreases with temperature

19. What key factor causes the total internal reflection of light?

A. Incidence angle being greater than critical angle when moving from denser to rarer medium B. Reflection at all angles C. Surface roughness D. Light intensity

20. What is the significance of the de Broglie wavelength?

A. It characterizes particle speed B. It suggests particles have wave properties proportional to Planck’s constant over momentum C. It measures the energy of photons D. It calculates the energy levels in an atom

21. What is the main feature of thermionic emission?

A. Emission of electrons by heating a metal B. Emission of photons by excited atoms C. Emission of X-rays under pressure D. Emission of neutrons from the nucleus

22. Which experiment could be used to determine the specific charge (e/m ratio) of an electron?

A. Millikan's oil drop experiment B. Geiger-Marsden experiment C. Cathode ray tube experiment D. Mass spectrometer experiment

23. What causes the ultraviolet catastrophe in classical physics?

A. Failure to quantize energy leading to incorrect predictions of blackbody radiation at high frequencies B. Overestimation of gravitational force C. Incorrect assumptions in Newton’s laws D. Electrical interference in experiments

24. Why does a rising temperature reduce resistance in semiconductors?

A. Because increased temperature reduces electron movement B. Because it increases charge carriers (electrons and holes) C. Because impurities are removed D. Because lattice vibrations decrease

25. What is the main purpose of dimensional analysis in physics?

A. To calculate speeds B. To check the correctness of physical equations C. To measure lengths and masses D. To identify forces acting on a body

26. Which of these best explains the term "half-life" in radioactivity?

A. Time taken for a radioactive substance to completely decay B. Time taken for half the nuclei in a radioactive sample to decay C. Time taken for the isotope to form D. Time taken to reach full radiation exposure

27. How does the specific heat capacity of a substance relate to energy?

A. It is the energy required to raise the temperature of a unit mass by one degree Celsius B. It is total heat energy content C. It's unrelated to heat D. It measures density

28. Which condition must be met for equilibrium of forces acting at a point?

A. Forces must be perpendicular B. Forces must have equal magnitudes C. The vector sum of forces must be zero D. All forces must act in the same direction

29. What are isotopes?

A. Atoms with the same number of neutrons but different protons B. Atoms with the same number of protons but different neutrons C. Atoms with equal protons and electrons D. Ions with positive charge

30. What is the main physical explanation for beats in sound waves?

A. Interference of two waves of slightly different frequencies producing periodic variations in sound intensity B. Resonance of a string at fixed frequency C. Doppler effect in sound waves D. Absorption of sound frequency

31. Which of the following best describes Newton's First Law of Motion?

A. Force is proportional to acceleration B. A body at rest remains at rest unless acted upon by a net external force C. For every action, there is an equal and opposite reaction D. Force equals mass times velocity

32. Why is the measurement of the focal length of a converging lens important in optics?

A. To determine the speed of light through the lens B. To calculate the lens power and understand image formation C. To measure the wavelength of light used D. To verify the laws of reflection

33. What is the direction of frictional force acting on a sliding object?

A. Opposite to the direction of motion B. Same as the direction of motion C. Perpendicular to the motion D. Upwards, against gravity

34. The principle of conservation of momentum applies when:

A. External forces are acting B. System is isolated with no external forces C. Speed is constant D. Kinetic energy is conserved

35. What is meant by the "half-life" of a radioactive substance?

A. The time it takes for the substance to lose half its energy B. The time required for half of the nuclei in a sample to decay C. The time it takes for half the substance to change into stable isotope D. The time taken for the radiation intensity to decrease to half

36. What is the primary difference between heat and temperature?

A. Heat is temperature’s unit B. Heat is energy transferred due to temperature difference; temperature measures average kinetic energy of particles C. Heat can be measured manually; temperature cannot D. Temperature is energy flow; heat is particle speed

37. What characteristic of electromagnetic waves differentiates them from mechanical waves?

A. They need a medium to travel B. They can propagate in vacuum C. They are longitudinal only D. They have no speed

38. In an L-C-R circuit at resonance:

A. Voltage leads current by 90 degrees B. Inductive reactance equals capacitive reactance C. Resistance is zero D. Power factor is zero

39. In the context of wave theory, what is coherence important for?

A. The polarization of light B. Formation of stable interference patterns C. Refraction of light through prisms D. The resolution of optical instruments

40. How does a semiconductor differ from a conductor?

A. It allows current only in one direction B. It has energy bands with a band gap between the valence and conduction bands C. It has zero resistance D. It is a perfect insulator

41. What does the Stefan-Boltzmann law describe?

A. The relationship between temperature and heat capacity B. The amount of energy radiated by a blackbody in terms of temperature C. The variation of pressure in an ideal gas with temperature D. The absorption of heat in latent heat processes

42. According to Boyle's Law, what is the relationship between pressure and volume at constant temperature?

A. Directly proportional B. Inversely proportional C. Independent D. Equal

43. What role does doping play in semiconductors?

A. Increases mechanical strength B. Changes electrical conductivity by adding impurities C. Alters physical size D. Converts semiconductors to insulators

44. What property of a magnetic field does the Biot-Savart Law describe?

A. The direction of magnetic force on charges B. Magnetic field strength due to a current element at a point in space C. The magnetic flux of a loop D. The speed of electromagnetic waves

45. Which of the following represents a fundamental physical quantity?

A. Area B. Velocity C. Mass D. Force

46. Which of the following best explains the difference between heat and temperature?

A. Heat is a measure of average kinetic energy; temperature is energy transferred B. Heat and temperature are both forms of energy but measured differently C. Heat is energy transferred due to temperature difference; temperature measures thermal state D. Heat is the temperature of a substance; temperature is the heat content

47. What does the Doppler principle in sound waves explain?

A. The reflection of sound waves from a surface B. The change in observed frequency due to relative motion of source and observer C. The attenuation of sound over distance D. The interference of two sound waves producing beats

48. What happens to pressure in a fluid if the area over which a force is applied increases?

A. Pressure increases B. Pressure decreases C. Pressure remains the same D. Pressure becomes zero

49. According to Faraday’s law, an electromotive force is induced in a circuit when:

A. The resistance of the circuit changes B. There is a change in magnetic flux linking the circuit C. The current in the circuit remains constant D. The circuit is disconnected

50. What is the main reason behind the failure of classical wave theory to explain blackbody radiation?

A. It could not explain the photoelectric effect B. It predicted infinite emission at short wavelengths (ultraviolet catastrophe) C. It failed to account for the Doppler effect D. It did not consider wave-particle duality