# SCERT Maharashtra Question Bank solutions for 12th Standard HSC Physics Maharashtra State Board 2021 chapter 5 - Oscillations [Latest edition]

## Chapter 5: Oscillations

MCQ’s

### SCERT Maharashtra Question Bank solutions for 12th Standard HSC Physics Maharashtra State Board 2021 Chapter 5 Oscillations MCQ’s

#### 1 Mark Each

MCQ’s | Q 1

A particle is moving in a circle with uniform speed. Its motion is ______

• Periodic and simple harmonic

• Non-periodic

• Periodic but not simple harmonic

• Non-periodic but simple harmonic

MCQ’s | Q 2

A particle is performing simple harmonic motion with amplitude A and angular velocity ω. the ratio of maximum velocity to maximum acceleration is ______

• ω

• I/ω

• ω2

• A/ω

MCQ’s | Q 3

Acceleration of a particle executing S.H.M. at its mean position.

• Is infinity

• Varies

• Is maximum

• Is zero

MCQ’s | Q 4

In a second’s pendulum, the mass of Bob is 50 g. If it is replaced by 100 g mass, then its period will be ______.

• 1 s

• 2 s

• 3 s

• 4 s

MCQ’s | Q 5

The maximum speed of a particle executing S.H.M. is 10 m/s and maximum acceleration is 31.4 m/s2. Its periodic time is ______

• 1 s

• 2 s

• 4 s

• 6 s

MCQ’s | Q 6

When the displacement of a simple harmonic oscillator is half of its amplitude, its P.E. is 3 J. Its total energy is ______

• 6 J

• 12 J

• 15 J

• 20 J

MCQ’s | Q 7

Two S.H.M.’s have zero phase difference and equal amplitudes A. The resultant amplitude on their composition will be ______

• 2 A

• zero

• sqrt2A

• sqrt"A"

### SCERT Maharashtra Question Bank solutions for 12th Standard HSC Physics Maharashtra State Board 2021 Chapter 5 Oscillations Very Short Answer

#### 1 Mark Each

Very Short Answer | Q 1

A simple pendulum moves from one end to the other in ¼ second. What is its frequency?

Very Short Answer | Q 2

A particle executes S.H.M. of 2 cm. At the extreme position, the force is 4 N. What is the force at a point midway between mean and extreme positions?

Very Short Answer | Q 3

A simple pendulum is inside a spacecraft. What will be its periodic time?

Very Short Answer | Q 4

What is the amplitude of S.H.M.

Very Short Answer | Q 5

What is a second pendulum?

Very Short Answer | Q 6

State the formula for the frequency of S.H.M in terms of force constant.

Very Short Answer | Q 7

What does the phase of π/2 indicate in linear S.H.M.?

### SCERT Maharashtra Question Bank solutions for 12th Standard HSC Physics Maharashtra State Board 2021 Chapter 5 Oscillations Short Answer I

#### 2 Marks Each

Short Answer I | Q 1

A particle is performing S.H.M. of amplitude 5 cm and period of 2s. Find the speed of the particle at a point where its acceleration is half of its maximum value.

Short Answer I | Q 2

The acceleration due to gravity on the surface of the moon is 1.7 m/s2. What is the time period of a simple pendulum on the surface of the moon if its time period on the surface of the earth is 3.5 s? (g on the surface of earth = 9.8 m/s2

Short Answer I | Q 3

The total energy of a body of mass 2 kg performing S.H.M. is 40 J. Find its speed while crossing the center of the path.

Short Answer I | Q 4

Obtain the differential equation of linear simple harmonic motion.

Short Answer I | Q 5

Define linear S.H.M.

Short Answer I | Q 6

State any two laws of the simple pendulum.

### SCERT Maharashtra Question Bank solutions for 12th Standard HSC Physics Maharashtra State Board 2021 Chapter 5 Oscillations Short Answer II

#### 3 Marks Each

Short Answer II | Q 1

The period of oscillation of the simple pendulum increases by 20 %, when its length is increased by 44 cm. find its initial length.

Short Answer II | Q 2

A particle performing S.H.M. has velocities of 8 cm/s and 6 cm/s at displacements of 3 cm and 4 cm respectively. Calculate the amplitude and period of S.H.M.

Short Answer II | Q 3

A particle performs linear S.H.M. of period 4 seconds and amplitude 4 cm. Find the time taken by it to travel a distance of 1 cm from the positive extreme position.

Short Answer II | Q 4

Obtain an expression for the resultant amplitude of, the composition of two S.H.M.’s having the same period along the same path.

Short Answer II | Q 5

Define angular S.H.M. and obtain its differential equation.

Short Answer II | Q 6

Obtain the expression for the period of a magnet vibrating in a uniform magnetic field and performing S.H.M.

### SCERT Maharashtra Question Bank solutions for 12th Standard HSC Physics Maharashtra State Board 2021 Chapter 5 Oscillations Long Answer

#### 4 Marks Each

Using the differential equation of linear S.H.M., obtain an expression for acceleration, velocity, and displacement of simple harmonic motion.

Define ideal simple pendulum and obtain an expression for its periodic time.

Deduce the expression for kinetic energy, potential energy, and total energy of a particle performing S.H.M. State the factors on which total energy depends.

## SCERT Maharashtra Question Bank solutions for 12th Standard HSC Physics Maharashtra State Board 2021 chapter 5 - Oscillations

SCERT Maharashtra Question Bank solutions for 12th Standard HSC Physics Maharashtra State Board 2021 chapter 5 (Oscillations) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board 12th Standard HSC Physics Maharashtra State Board 2021 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in 12th Standard HSC Physics Maharashtra State Board 2021 chapter 5 Oscillations are Oscillations, Explanation of Periodic Motion, Linear Simple Harmonic Motion (S.H.M.), Differential Equation of Linear S.H.M., Acceleration (A), Velocity (V) and Displacement (X) of S.H.M., Amplitude(A), Period(T) and Frequency (N) of S.H.M., Reference Circle Method, Phase in S.H.M., Graphical Representation of S.H.M., Composition of Two S.H.M.’S Having Same Period and Along Same Line, The Energy of a Particle Performing S.H.M., Simple Pendulum, Angular S.H.M. and It's Differential Equation, Damped Oscillations, Free Oscillations, Forced Oscillations and Resonance Oscillations, Periodic and Oscillatory Motions.

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