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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

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Important Questions on Simple Harmonic Motion

EASY

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

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,

C

will execute.
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EASY

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

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

EASY

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

In a parallel LCR circuit, the current at resonance will be

MEDIUM

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

In an experiment to determine the period of a simple pendulum of length

1 m

, it is attached to different spherical bobs of radii

r_{1}

and

r_{2}

. The two spherical bobs have uniform mass distribution. If the relative difference in the periods, is found to be

5 \times 10^{- 4} s

, the difference in radii,

|r_{1} - r_{2}|

is best-given by

HARD

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

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>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

Why does the amplitude of a vibrating body continuously decrease during damped vibrations?

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Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

What do you understand by free vibrations of a body?

HARD

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

The path length of oscillation of simple pendulum of length

1 m

16 cm

. Its maximum velocity is

(g = π^{2} {m s}^{-2})

MEDIUM

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

A stretched wire vibrates with a frequency of

60 Hz

when the tension in the wire is

T_{1}

and with a frequency of

130 Hz

when the tension in the wire is

T_{2}

. If the tension in the wire is

(T_{1} + T_{2}),

its frequency of vibration is

EASY

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

Consider a driven damped mechanical oscillator is in resonance. Which of the following statements is true ?

EASY

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

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>Forced Oscillations

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.

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HARD

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

Two pendulums begin to swing simultaneously. The first pendulum makes nine full oscillations when the other makes seven. The ratio of the lengths of the two pendulum is

EASY

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

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EASY

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced 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

\frac{g}{2}

, the time period of pendulum will be :

MEDIUM

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced 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 :

HARD

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

A cylindrical plastic bottle of negligible mass is filled with

310 ml

of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency

ω .

If the radius of the bottle is

2 .5 cm

then

ω

is close to:

(

density of water

= 10^{3} kg m^{- 3})

EASY

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced 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>Forced Oscillations

In Melde's experiment, when the tension decreases by

0.009 kg - wt

, the number of loops changes from

4

5

. The initial tension is

EASY

Physics>Oscillations and Waves>Simple Harmonic Motion>Forced Oscillations

Define resonant vibrations.

Important Questions on Simple Harmonic Motion

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