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Higher the value of damping constant higher will be amplitude at resonance.

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Important Questions on Oscillations

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Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

Two pendulums $C$ and $D$ are suspended from a wire as shown in the given figure. Pendulum $C$ is made to oscillate by displacing it from its mean position. It is seen that $D$ also starts oscillating. Name the type of oscillation, $D$ will execute.

Question Image

HARD

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

A simple harmonic oscillator of angular frequency

2 rad s^{- 1}

is acted upon by an external force

F = \sin t N .

If the oscillator is at rest in its equilibrium position at

t = 0,

its position at later times is proportional to:

EASY

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

In case of a forced oscillation, the resonance peak becomes very sharp when the

MEDIUM

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

A glass tube of length 1.0 m is completely filled with water. A vibrating tuning fork of frequency 500 Hz is kept over the mouth of the tube and water is drained out slowly at the bottom of tube. If velocity of sound in air is

330 m s^{- 1}

, then the total number of resonance that occur will be

HARD

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

A particle of mass

m

is attached to a spring (of spring constant

k

) and has a natural angular frequency

ω_{0} - A n

external force

F (t)

proportional to

c o s ω t (ω \neq ω_{0})

is applied to the oscillator. The time displacement of the oscillator will be proportional to

EASY

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

The natural frequency of a spring block system is

1000 Hz

. An external force of frequency

2000 Hz

is applied in the block. What is the frequency of oscillation of the block?

EASY

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

If the differential equation given by

\frac{d^{2} y}{d t^{2}} + 2 k \frac{d y}{d t} + ω^{2} y = F_{0} \sin p t

Describes the oscillatory motion of body in a dissipative medium under the influence of a periodic force, then the state of maximum amplitude of the oscillation is a phenomena of

EASY

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

The natural frequency of a spring block system is

1000 Hz

. An external force of frequency

2000 Hz

is applied in the block. What is the frequency of oscillation of the block?

HARD

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

A light pointer fixed to one prong of a tuning fork touches a vertical plate. The fork is set vibrating at a frequency of 56 Hz and allowed to free fall. Calculate how many complete oscillation are counted when plate falls at 10 cm

HARD

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force.

F = F_{0} \sin ω t

If the amplitude of the particle is maximum for

ω = ω_{1}

and the energy of the particle is maximum for

ω = ω_{2}

then

MEDIUM

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

A tuning fork of frequency 340 Hz is vibrated just above the tube of 120 cm height. Water is poured slowly in the tube, what is the minimum height of water necessary for the resonance?

MEDIUM

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force.

F = F_{0} \sin ω t

If the amplitude of the particle is maximum for

ω = ω_{1}

and the energy of the particle is maximum for

ω = ω_{2}

then

EASY

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

Resonance is a special case of

EASY

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

The natural frequency of a spring block system is

1000 Hz

. An external force of frequency

2000 Hz

is applied in the block. What is the frequency of oscillation of the block?

MEDIUM

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

A metal wire of linear mass density of

9.8 g m^{- 1}

is stretched with a tension of kg-wt between two rigid supports 1 m apart. The wire passes at its middle point between the poles of a permanent magnet and it vibrates in resonance when carrying an alternating current of frequency n. the frequency n of the alternating sources is

EASY

Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

In case of a forced vibration, the resonance peak becomes very sharp when the

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Physics>Mechanics>Oscillations>Forced Oscillations and Resonance

Amplitude of a wave is represented by