Chapter Exam

Chapter-13 Oscillations — Online MCQ Test

Q: What is the SI unit of frequency?

Answer: A. Hertz (Hz) — Frequency is the number of oscillations per unit time, and its SI unit is Hertz (Hz), equivalent to s⁻¹.

Q: A damped oscillator has a natural frequency ω₀ and damping coefficient b. The condition for critical damping is:

Answer: B. b = 2mω₀ — Critical damping occurs when the damping coefficient b = 2mω₀, where the system returns to equilibrium without oscillating in minimum time.

Q: A particle executing SHM has velocity v when at displacement x. At displacement 2x, the velocity will be approximately:

Answer: D. √(v² - 3ω²x²) — Using energy conservation: (1/2)m(v₁²) + (1/2)kx² = (1/2)m(v₂²) + (1/2)k(2x)², solving gives v₂ = √(v² - 3ω²x²).

PHYSICS · Grade 11 · CBSE(NCERT)

Practice Chapter-13 Oscillations with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 11 PHYSICS. This chapter covers: Periodic motion - Oscillatory motion - Period - Frequency - Simple Harmonic Motion - Phase - Force law for SHM - Energy in SHM - Simple pendulum - Free oscillations - Damped oscill.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-13 Oscillations — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 11 PHYSICS — Chapter-13 Oscillations, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the SI unit of frequency?

A. Hertz (Hz) ✓
B. Second (s)
C. Radian per second (rad/s)
D. Meter (m)

Answer: A. Hertz (Hz)
Frequency is the number of oscillations per unit time, and its SI unit is Hertz (Hz), equivalent to s⁻¹.

Which of the following is a characteristic of Simple Harmonic Motion (SHM)?

A. Acceleration is constant
B. Acceleration is always directed towards the mean position and is proportional to displacement ✓
C. Velocity remains constant throughout the motion
D. The object moves with uniform speed

Answer: B. Acceleration is always directed towards the mean position and is proportional to displacement
In SHM, the restoring force (and hence acceleration) is directly proportional to the displacement and always directed towards the equilibrium position: a = -ω²x.

In damped oscillations, what causes the gradual decrease in amplitude?

A. Decrease in frequency
B. Energy dissipation due to friction or resistance ✓
C. Increase in period
D. Change in the equilibrium position

Answer: B. Energy dissipation due to friction or resistance
Damping occurs due to dissipative forces like friction and air resistance that remove mechanical energy from the system, reducing the amplitude over time.

A damped oscillator has a natural frequency ω₀ and damping coefficient b. The condition for critical damping is:

A. b < 2mω₀
B. b = 2mω₀ ✓
C. b > 2mω₀
D. b = mω₀

Answer: B. b = 2mω₀
Critical damping occurs when the damping coefficient b = 2mω₀, where the system returns to equilibrium without oscillating in minimum time.

A particle executing SHM has velocity v when at displacement x. At displacement 2x, the velocity will be approximately: