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Structural resonance of a suspension bridge induced by the winds can lead to its collapse. Several early suspension bridges were destroyed by structural resonance induced by modest winds.

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Important Questions on Sound Waves

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Physics>Oscillations and Waves>Sound Waves>Resonance

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

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Physics>Oscillations and Waves>Sound Waves>Resonance

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

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Physics>Oscillations and Waves>Sound Waves>Resonance

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

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Physics>Oscillations and Waves>Sound Waves>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.

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MEDIUM

Physics>Oscillations and Waves>Sound Waves>Resonance

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

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Physics>Oscillations and Waves>Sound Waves>Resonance

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

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Physics>Oscillations and Waves>Sound Waves>Resonance

What do you understand by free vibrations of a body?

HARD

Physics>Oscillations and Waves>Sound Waves>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:

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Physics>Oscillations and Waves>Sound Waves>Resonance

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

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Physics>Oscillations and Waves>Sound Waves>Resonance

Define resonant vibrations.

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Physics>Oscillations and Waves>Sound Waves>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>Oscillations and Waves>Sound Waves>Resonance

Amplitude of a wave is represented by

A = \frac{c}{a + b - c}

Then resonance will occur when

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Physics>Oscillations and Waves>Sound Waves>Resonance

An iron load of 2 kg is suspended in air from the free end of a sonometer wire of length 1m. A tuning fork of frequency 256 Hz is in resonance with time the length of the sonometer wire. If the load is immersed in metre that will be in resonance with the same tuning fork is (specified gravity of iron=8)

EASY

Physics>Oscillations and Waves>Sound Waves>Resonance

A sonometer wire

100 cm

long has a fundamental frequency of

330 Hz

. The velocity of propagation of transverse waves on the wire is

HARD

Physics>Oscillations and Waves>Sound Waves>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>Oscillations and Waves>Sound Waves>Resonance

Two vibrating strings of the same material but length L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of the length L with frequency

v_{1}

and the other with frequency

v 2

. the ratio is

EASY

Physics>Oscillations and Waves>Sound Waves>Resonance

A sonometer wire

100 cm

long has a fundamental frequency of

300 Hz

. The velocity of propagation of transverse waves on the wire is

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Resonance

Two strings

A

and

B

of lengths,

L_{A} = 80 cm

and

L_{B} = x cm

respectively are used separately in a sonometer. The ratio of their densities is

0.81

. the diameter of

B

is one-half that of

A

. if the strings have the same tension and fundamental frequency the value of

x

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Physics>Oscillations and Waves>Sound Waves>Resonance

A sonometer wire of length

2.5 m

is made of steel. The tension in it produces an elastic strain of

1 %

. What is the fundamental frequency of steel if density and elasticity of steel are

8.8 \times 10^{3} kg m^{- 3}

and

2.2 \times 10^{11} N m^{- 2}

respectively?

MEDIUM

Physics>Oscillations and Waves>Sound Waves>Resonance

In an experiment with sonometer, a tuning fork of frequency 256 Hz resonates with a length of 25 cm and another tuning fork resonates with a length of 16 cm. Tension of the string remains constant the frequency of the second tuning fork is :

Structural resonance of a suspension bridge induced by the winds can lead to its collapse. Several early suspension bridges were destroyed by structural resonance induced by modest winds.

Important Questions on Sound Waves

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