Q1: 1. Which of the following statements about simple harmonic motion is true?

• A) The acceleration is directly proportional to the displacement.
• B) The velocity is constant throughout the motion.
• C) The restoring force is independent of the displacement.
• D) The period is inversely proportional to the amplitude.

Q2: 2. A pendulum swings back and forth. What is the quantity that remains constant throughout the motion?

• A) Amplitude
• B) Period
• C) Frequency
• D) Energy

Q3: 3. In an LC circuit, what determines the frequency of oscillation?

• A) Inductance
• B) Capacitance
• C) Resistance
• D) Both inductance and capacitance

Q4: 4. Which of the following is an example of forced oscillation?

• A) Swinging pendulum
• B) Ticking clock
• C) Guitar string being plucked
• D) Earthquake vibrations

Q5: 5. In a mass-spring system, what property determines the frequency of oscillation?

• A) Mass of the object
• B) Spring constant
• C) Amplitude
• D) Frictional force

Q6: 6. Which of the following describes resonance in an oscillating system?

• A) Maximum displacement at minimum frequency
• B) Maximum displacement at maximum frequency
• C) Maximum displacement at natural frequency
• D) Minimum displacement at natural frequency

Q7: 7. A car suspension system exhibits oscillatory motion when driving over a bumpy road. What component of the system acts as the spring?

• A) Shock absorbers
• B) Tires
• C) Chassis
• D) Springs

Q8: 8. The natural frequency of an oscillating system depends on which of the following factors?

• A) Damping coefficient
• B) External force
• C) Stiffness of the system
• D) Amplitude of oscillation

Q9: 9. What happens to the period of a pendulum if its length is doubled?

• A) Period is halved
• B) Period remains the same
• C) Period is doubled
• D) Period becomes four times longer

Q10: 10. Which of the following is an example of a system experiencing damped oscillations?

• A) Child on a swing
• B) Tuning fork in vacuum
• C) Car suspension on a smooth road
• D) Swinging door with a hydraulic damper

Q11: 11. How does increasing the mass attached to a spring affect its frequency of oscillation?

• A) Frequency increases
• B) Frequency decreases
• C) Frequency remains the same
• D) Frequency becomes zero

Q12: 12. Which of the following factors affects the amplitude of oscillation in a system?

• A) Damping force
• B) Frequency of external force
• C) Resonant frequency
• D) Initial energy input

Q13: 13. A grandfather clock pendulum has a period of 2 seconds. What is its frequency in hertz?

• A) 0.5 Hz
• B) 1 Hz
• C) 2 Hz
• D) 4 Hz

Q14: 14. Which of the following is true for a system undergoing simple harmonic motion?

• A) Restoring force is constant
• B) Velocity is maximum at equilibrium
• C) Acceleration is zero at the extremes
• D) Energy is dissipated continuously

Q15: 15. When a guitar string is plucked, what determines the pitch of the sound produced?

• A) Length of the string
• B) Tension in the string
• C) Diameter of the string
• D) Material of the string

Q16: 16. A mass attached to a spring oscillates with a frequency of 4 Hz. If the spring constant is doubled, what is the new frequency?

• A) 2 Hz
• B) 4 Hz
• C) 8 Hz
• D) 16 Hz

Q17: 17. An object oscillates with an amplitude of 5 cm and a frequency of 10 Hz. What is the maximum displacement of the object from its equilibrium position?

• A) 5 cm
• B) 10 cm
• C) 20 cm
• D) 50 cm

Q18: 18. Which of the following factors affect the period of a simple pendulum?

• A) Mass of the bob
• B) Length of the string
• C) Initial displacement
• D) Frictional force

Q19: 19. A swing in a playground exhibits simple harmonic motion. What is the restoring force acting on the swing?

• A) Friction between the seat and the chains
• B) Tension in the chains
• C) Gravitational force
• D) Air resistance

Q20: 20. What is the phase difference between the displacement and acceleration of an object in simple harmonic motion?

• A) 0°
• B) 45°
• C) 90°
• D) 180°

Q21: 21. How does adding a damping force affect the motion of an oscillating system?

• A) Increases the amplitude
• B) Decreases the frequency
• C) Decreases the energy loss
• D) Causes the system to come to rest

Q22: 22. Which of the following is an example of a system exhibiting underdamped oscillations?

• A) Swaying skyscraper in the wind
• B) Clock pendulum
• C) Child on a swing
• D) Car suspension on a bumpy road

Q23: 23. What happens to the period of an oscillating system if the spring constant is halved?

• A) Period doubles
• B) Period remains the same
• C) Period is halved
• D) Period quadruples

Q24: 24. In an LC circuit, what happens to the amplitude of oscillations if the resistance is increased?

• A) Amplitude increases
• B) Amplitude decreases
• C) Amplitude remains the same
• D) Amplitude becomes zero

Q25: 25. A mass-spring system has a natural frequency of 2 Hz. If the mass is doubled, what is the new natural frequency?

• A) 0.5 Hz
• B) 1 Hz
• C) 2 Hz
• D) 4 Hz