Class 11 Physics
Oscillations
Question 1.
What do you understand by periodic motion? How will you calculate the time period for one complete oscillation?
Question 2.
How can you calculate the frequency of a periodic or oscillatory motion? If it is given that, the time period of an oscillation is 10 sec. Calculate its frequency.
Question 3.
What do you understand by simple harmonic motion? Give general displacement function of a particle from its equilibrium position.
Question 4.
By which relation angular frequency and frequency of the motion can be defined?
Question 5.
A spring balance has a scale that reads from 0 to 100 kg. The length of the scale is 50 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.5 s. What is the weight of the body?
Question 6.
Give dimensions for time period and frequency.
Question 7.
What are the functions for velocity and acceleration during SHM with respect to time?
Question 8.
The piston in the cylinder head of a locomotive has a stroke (thrice the amplitude) of 2.0 m. If the piston moves with simple harmonic motion with an angular frequency of 300 rad/min, what is its maximum speed?
Question 9.
What do you understand by the condition of resonance?
Question 10.
Define linear oscillator.
Question 11.
What is a damped oscillator? Give formula for angular frequency and mechanical energy of the damped oscillator.
Question 12.
Give units and dimensions for the following:
(a) Angular frequency
(b) Phase constant
(c) Force constant
Question 13.
A circular disc of mass 15 kg is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be 3 s. The radius of the disc is 18 cm. Determine the torsional spring constant of the wire. (Torsional spring constant α is defined by the relation J = –α θ, where J is the restoring couple and θ the angle of twist).
Question 14.
A body describes simple harmonic motion with an amplitude of 3 cm and a period of 0.1 s. Find the acceleration and velocity of the body when the displacement is 2 cm.
Question 15.
What is the time period for the motion of a simple pendulum?
Question 16.
A body describes simple harmonic motion with an amplitude of 3 cm and a period of 0.3 s. Find the acceleration and velocity of the body when the displacement is 4 cm.
Question 17.
What is the force law for simple harmonic motion?
Question 18.
An 8 kg collar is attached to a spring of spring constant 500 N-m–1. It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 15.0 cm and released. Calculate (a) the period of oscillation.
Question 19.
A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 15 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.4 s. What is the weight of the body?
Question 20.
A 12 kg of mass is attached to a spring of spring constant 500 N-m–1. It slides without friction over a horizontal rod. The mass is displaced from its equilibrium position by 20.0 cm and released. Calculate the maximum acceleration of the mass.
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All About Daily Practice Problems on Class 11 Physics Oscillations NCERT Chapter 13
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