EASY
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In the following a statement of Assertion is followed by a statement of Reason.

Assertion: In damped oscillations, the oscillator experiences both conservative and non-conservative forces.

Reason: In damped oscillations mechanical energy of oscillator decreases with time.

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Important Questions on Simple Harmonic Motion

EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
A block of mass 0.1 kg is connected to an elastic spring of spring constant 640 N m-1 and oscillates in a damping medium of damping constant 10-2 kg s-1 . The system dissipates its energy gradually. The time taken for its mechanical energy of vibration to drop to half of its initial value, is closest to-
MEDIUM
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. In another 10s it will decrease to α times its original magnitude, where α equals :
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
Question Image
In an experiment to determine the gravitational acceleration g of a place with the help of a simple pendulum, the measured time period squared is plotted against the string length of the pendulum in the figure. What is the value of g at the place?
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
T0 is the time period of a simple pendulum at a place. If the length of the pendulum is reduced to 116 times of its initial value, the modified time period is
HARD
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations

A pendulum with the time period of 1 s is losing energy due to damping. At a certain time, its energy is 45 J. If after completing 15 oscillations its energy has become 15 J, then its damping constant (in s-1) will be

EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an acceleration g2, the time period of pendulum will be :
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
The system that returns to equilibrium as quickly as possible without oscillating is
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
The phenomenon that occurs when the frequency of forced vibrations on an object matches the natural frequency of that object, and produces a dramatic increase in amplitude is called
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations

The amplitude of a simple pendulum, oscillating in air with a small spherical bob, decreases from 10 cm to 8 cm in 40 seconds. Assuming that Stokes law is valid, and ratio of the coefficient of viscosity of air to that of carbon dioxide is 1.3, the time in which amplitude of this pendulum will reduce from 10 cm to 5 cm in carbondioxide will be close to (ln 5 = 1.601, ln 2 = 0.693).

EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
The amplitude of a mass-spring system, which is executing simple harmonic motion decreases with time. If mass =500 g, Decay constant =20 g s-1 then how much time is required for the amplitude of the system to drop to half of its initial value? ln2=0.693
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
The displacement of a damped harmonic oscillator is given by xt=e-0.1tcos⁡10πt+φ. Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to:
MEDIUM
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
The amplitude of a damped oscillator becomes half in one minute. The amplitude after 3 minutes will be 1x times the original. Then x is
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
When a simple pendulum is moved from the Earth's surface to deep mine, the period of oscillation
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
The bob of simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob get suddenly unplugged. During observation, till water is coming out, the time period of oscillation would
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
My friend has a Banjo clock. It has a pendulum. For every 1.0 sec the pendulum performs one full swing. If an object at the end of the string weighs 10.0 N, what is the length of the pendulum?
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
In case of a forced vibration, the resonance wave becomes very sharp when the:
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
Two simple pendulums with time periods T0 and T1 start oscillating in the same direction at the same time. If T0>T1 and the phase difference between them is π3 when the faster pendulum has completed one oscillation, then T1 is
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
Instantaneous power delivered to a damped harmonic oscillator (natural frequency is ω0), by an external periodic force (driving frequency ω) under steady state conditions is
EASY
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12 cm. After 2 minutes the amplitude decreases to 6 cm. Determine the value of the damping constant for this motion. (take ln2=0.693 )
MEDIUM
Physics>Oscillations and Waves>Simple Harmonic Motion>Damped Oscillations
A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to 11000 of the original amplitude is close to: