# 16 Lecture

## PHY101

### Midterm & Final Term Short Notes

## Oscillations – II

Oscillations are a common phenomenon that can be observed in many physical systems, ranging from a simple pendulum to complex electronic circuits.

**Important Mcq's**

Midterm & Finalterm Prepration

Past papers included

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**What happens to the amplitude of damped oscillations over time?**

a) It increases

b) It remains constant

c) It decreases

d) It oscillates

Answer: c) It decreases

**What is resonance in forced oscillations?**

a) The amplitude of oscillation decreases

b) The frequency of the external force is lower than the natural frequency of the oscillator

c) The frequency of the external force is equal to the natural frequency of the oscillator

d) The frequency of the external force is higher than the natural frequency of the oscillator

Answer: c) The frequency of the external force is equal to the natural frequency of the oscillator

**What is the equation that describes damped oscillations?**

a) The harmonic oscillator equation

b) The damped harmonic oscillator equation

c) The forced harmonic oscillator equation

d) The coupled harmonic oscillator equation

Answer: b) The damped harmonic oscillator equation

**What are forced oscillations?**

a) Oscillations that occur naturally in a system

b) Oscillations that are affected by external forces

c) Oscillations that are damped over time

d) Oscillations that are coupled to other oscillators

Answer: b) Oscillations that are affected by external forces

**What is the equation that describes coupled oscillations?**

a) The harmonic oscillator equation

b) The damped harmonic oscillator equation

c) The forced harmonic oscillator equation

d) The coupled harmonic oscillator equation

Answer: d) The coupled harmonic oscillator equation

**What is synchronized behavior in coupled oscillations?**

a) The oscillators all oscillate with the same frequency and phase

b) The oscillators oscillate with different frequencies and phases

c) The oscillators all come to rest

d) The oscillators oscillate with increasing amplitudes over time

Answer: a) The oscillators all oscillate with the same frequency and phase

**What happens to the period of a damped oscillator over time?**

a) It increases

b) It remains constant

c) It decreases

d) It oscillates

Answer: a) It increases

**What is beating in coupled oscillations?**

a) The amplitude of oscillation decreases

b) The amplitude of oscillation increases

c) The frequency of the oscillation decreases

d) The amplitude of oscillation varies periodically

Answer: d) The amplitude of oscillation varies periodically

**What causes damping in oscillations?**

a) An external periodic force

b) Friction or air resistance

c) Resonance

d) Coupling to other oscillators

Answer: b) Friction or air resistance

**What is the behavior of a forced oscillator when the frequency of the external force is much higher than the natural frequency of the oscillator?**

a) The amplitude of the oscillation is very large

b) The amplitude of the oscillation is very small

c) The oscillator does not oscillate

d) The behavior of the oscillator depends on the amplitude of the external force

Answer: b) The amplitude of the oscillation is very small

**Subjective Short Notes**

Midterm & Finalterm Prepration

Past papers included

Download PDF
**What is damping in oscillations?**

**Answer:** Damping is the process of reducing the amplitude of oscillations over time due to some external factors, such as friction or air resistance.

**What is the equation that describes damped oscillations?**

**Answer:** The equation that describes damped oscillations is the damped harmonic oscillator equation, which takes into account the damping force proportional to the velocity of the oscillator.

**What happens to the amplitude of damped oscillations over time?**

**Answer: **The amplitude of damped oscillations decreases exponentially over time.

What are forced oscillations?

Answer: Forced oscillations occur when a periodic external force is applied to a system, and the behavior of the oscillator is affected by the frequency and amplitude of the external force.

What is resonance in forced oscillations?

Answer: Resonance occurs in forced oscillations when the frequency of the external force is equal to the natural frequency of the oscillator, resulting in a large amplitude of oscillation.

**What are coupled oscillations?**

**Answer: **Coupled oscillations occur when two or more oscillators are connected in some way, such that the motion of one oscillator affects the motion of the other(s).

**What is beating in coupled oscillations?**

**Answer:** Beating occurs in coupled oscillations when two oscillators of slightly different frequencies are connected, and the amplitude of the oscillation varies periodically.

**What is the equation that describes coupled oscillations?**

**Answer:** The behavior of a system of coupled oscillators can be described using a set of coupled differential equations, one for each oscillator.

**What is synchronized behavior in coupled oscillations?**

**Answer:** Synchronized behavior occurs in coupled oscillations when the oscillators all oscillate with the same frequency and phase.

**Why is the study of oscillations important in science and engineering?**

**Answer:** The study of oscillations is important in science and engineering because it helps us understand the behavior of natural systems and design stable and reliable systems that exhibit oscillatory behavior.