Chapter 7: Oscillations

 Chapter 7: Oscillations



Below are 10 Multiple Choice Questions (MCQs) with answers and brief explanations, specifically from Chapter 7: Oscillations of the FBISE (Federal Board of Intermediate and Secondary Education) 11th-class Physics syllabus for the 2025 exam. These MCQs are designed to align with the FBISE syllabus, focusing on key concepts such as simple harmonic motion (SHM), simple pendulum, spring-mass system, energy in SHM, and damped oscillations, as outlined in the official curriculum and reflected in past papers and resources like www.taleemcity.com and www.ilmistarsacademy.com. They are crafted to match the style and difficulty level of FBISE exams.

Chapter 7: Oscillations - Key Topics
  • Simple Harmonic Motion (SHM): Characteristics, displacement, velocity, acceleration.
  • Spring-Mass System: Time period, frequency.
  • Simple Pendulum: Time period, dependence on length and gravity.
  • Energy in SHM: Kinetic and potential energy, conservation.
  • Damped and Forced Oscillations: Resonance, applications.

10 MCQs with Answers and Explanations
  1. Question: In simple harmonic motion, the restoring force is proportional to:
    • A) Velocity
    • B) Acceleration
    • C) Displacement
    • D) Time
    • Answer: C) Displacement
    • Explanation: In SHM, the restoring force F = -kx, where k is the spring constant and x is displacement, making it directly proportional to displacement.
  2. Question: The time period of a simple pendulum of length 1 m (g = 10 m/s²) is:
    • A) 1 s
    • B) 2 s
    • C) 3 s
    • D) 4 s
    • Answer: B) 2 s
    • Explanation: Time period T = 2π√(L/g) = 2π√(1/10) ≈ 2 × 3.14 × 0.316 ≈ 2 s.
  3. Question: In SHM, the acceleration is maximum when the object is at:
    • A) Equilibrium position
    • B) Extreme position
    • C) Halfway to the extreme
    • D) Any position
    • Answer: B) Extreme position
    • Explanation: Acceleration a = -ω²x is maximum at the extreme position where displacement x is maximum.
  4. Question: The frequency of a spring-mass system depends on:
    • A) Mass and spring constant
    • B) Amplitude and mass
    • C) Length and gravity
    • D) Amplitude and spring constant
    • Answer: A) Mass and spring constant
    • Explanation: Frequency f = (1/2π)√(k/m), where k is the spring constant and m is the mass.
  5. Question: In SHM, the total mechanical energy is:
    • A) Constant
    • B) Zero
    • C) Maximum at equilibrium
    • D) Minimum at extreme positions
    • Answer: A) Constant
    • Explanation: In ideal SHM (no damping), total mechanical energy (K + U) is conserved, remaining constant throughout the motion.
  6. Question: A mass attached to a spring oscillates with a time period of 2 s. If the mass is doubled, the new time period is:
    • A) 1 s
    • B) 2 s
    • C) 2.83 s
    • D) 4 s
    • Answer: C) 2.83 s
    • Explanation: Time period T = 2π√(m/k). If mass doubles, T_new = T × √2 = 2 × √2 ≈ 2 × 1.414 ≈ 2.83 s.
  7. Question: Damped oscillations occur when:
    • A) Amplitude increases over time
    • B) Amplitude decreases over time
    • C) Frequency increases
    • D) Energy is conserved
    • Answer: B) Amplitude decreases over time
    • Explanation: Damped oscillations lose energy (e.g., due to friction), causing the amplitude to decrease over time.
  8. Question: The velocity of a particle in SHM is maximum at:
    • A) Extreme position
    • B) Equilibrium position
    • C) Halfway to equilibrium
    • D) Any position
    • Answer: B) Equilibrium position
    • Explanation: Velocity v = ω√(A² - x²) is maximum at x = 0 (equilibrium), where v = ωA.
  9. Question: Resonance occurs when the driving frequency is:
    • A) Less than the natural frequency
    • B) Equal to the natural frequency
    • C) Greater than the natural frequency
    • D) Zero
    • Answer: B) Equal to the natural frequency
    • Explanation: Resonance happens when the external driving frequency matches the system’s natural frequency, maximizing amplitude.
  10. Question: The potential energy in a spring-mass system is maximum when:
    • A) Displacement is zero
    • B) Velocity is maximum
    • C) Displacement is maximum
    • D) Acceleration is zero
    • Answer: C) Displacement is maximum
    • Explanation: Potential energy U = (1/2)kx² is maximum at the extreme positions where displacement x is maximum.

Key Notes
  • Syllabus Alignment: These MCQs cover core topics from Chapter 7 (Oscillations) of the FBISE 11th-class Physics syllabus, including SHM, simple pendulum, spring-mass system, energy, and resonance, which are frequently tested in exams.
  • Question Variety: The questions include conceptual, numerical, and application-based MCQs to reflect FBISE’s exam pattern, with emphasis on SHM properties and time period calculations.
  • Explanations: Brief explanations clarify the reasoning, aiding quick understanding and revision.

Recommended Resources for Additional MCQs
For more MCQs on Chapter 7 (Oscillations):
  1. FBISE Official Website (www.fbise.edu.pk):
    • Access past papers (2016–2024) under “Examinations” > “Past Papers.” Chapter 7 MCQs appear in the objective section.
  2. Taleem City (www.taleemcity.com):
    • Offers solved MCQs for Chapter 7 in PDF format, tailored for FBISE syllabus.
  3. Ilmi Stars Academy (www.ilmistarsacademy.com):
    • Provides chapter-specific MCQs with answers and video explanations.
  4. Download Class Notes (www.downloadclassnotes.com):
    • Contains solved MCQs for Oscillations in downloadable PDFs.
  5. Pak Learning Spot (www.paklearningspot.com):
    • Features free MCQs for FBISE board exams, including Chapter 7.
How to Access:
  • Visit these websites, navigate to the 11th-class Physics section, and select “Chapter 7 MCQs” or “Oscillations.”
  • Past papers are available on the FBISE website in PDF format, free of charge.

Tips for MCQ Preparation
  • Focused Practice: Solve 10–15 MCQs daily for Chapter 7 to master concepts like SHM equations and resonance.
  • Time Yourself: Aim for ~1 minute per MCQ to build exam speed.
  • Review Errors: Use answer keys to understand mistakes and revisit concepts like energy in SHM.
  • Combine with Numericals: Pair MCQ practice with numerical problems (e.g., time period, energy calculations) from the FBISE textbook (available on www.taleem360.com).

Additional Support
These 10 MCQs are tailored to support your preparation for the 2025 FBISE exam. If you need:
  • More MCQs for Chapter 7 (Oscillations).
  • MCQs for other chapters or specific topics (e.g., SHM, simple pendulum).
  • Assistance downloading resources or solving numericals. please let me know, and I’ll provide further tailored support. Good luck with your Physics exam preparation!

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