SCERT Maharashtra solutions for Physics [English] 12 Standard HSC chapter 5 - Oscillations [Latest edition]

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

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

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

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 ______.  

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 ______ 

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

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

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

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?

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

What is the amplitude of S.H.M. 

What is a second pendulum?   

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

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

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.

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) 

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.

Obtain the differential equation of linear simple harmonic motion.

Define linear S.H.M.

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

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.

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.

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

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

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

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

Define an ideal simple pendulum.

Obtain an expression for a time period of the simple pendulum.

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.