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Important Questions of Oscillation - Maharashtra Board HSC
Welcome, students! In this blog post, we will cover the most important questions from the chapter Oscillation for Maharashtra Board Class 12 Physics. These questions are carefully curated to help you prepare effectively for your HSC exams. Let’s dive in!
1. Definitions (1 Mark Each)
- Linear Simple Harmonic Motion: Define linear simple harmonic motion.
- Amplitude: Define the amplitude of a particle performing simple harmonic motion.
- Simple Pendulum: Define a simple pendulum.
- Angular Simple Harmonic Motion: Define angular simple harmonic motion.
- Damped Harmonic Oscillator: Define a damped harmonic oscillator.
2. Derivations
- Expression for Differential Equation of SHM (2 Marks): Derive the differential equation of simple harmonic motion (SHM).
- Differential Equation of Angular SHM (2 Marks): Derive the differential equation of angular SHM.
- Difference between Conical Pendulum and Simple Pendulum (2 Marks): Highlight the key differences between these pendulums.
3. Period of Oscillation
- Simple Pendulum (3 Marks): Obtain the expression for the period of a simple pendulum performing SHM. Also, find the length for the second’s pendulum.
- Period of SHM (3 Marks): Define the period of SHM and derive the expression for the period of a magnet vibrating in a uniform magnetic field while performing SHM.
4. Graphical Representation (3 Marks)
Draw the graph of displacement, velocity, and acceleration against the phase angle for a particle performing SHM from the positive extreme position.
5. Energy in SHM (4 Marks)
Derive the expressions for the kinetic energy and potential energy of a particle executing SHM. Hence, obtain the expression showing that the total energy is conserved.
6. Acceleration, Velocity, and Displacement (4 Marks)
Derive the expressions for acceleration, velocity, and displacement of a particle performing SHM at the mean position and extreme positions.
Conclusion
Mastering the Oscillation chapter requires a clear understanding of concepts and the ability to solve related derivations and numerical problems. Practice these important questions thoroughly to ensure excellent performance in your HSC exams. Good luck!
