In an experiment, to measure the speed of sound by a resonating air column, a tuning fork of frequency 500 Hz is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length 50 .7 cm and 83 .9 cm . Which of the following statements is (are) true?

The wavelength of the sound wave is 66 .4 cm .

The resonance at 50 .7 cm corresponds to the fundamental harmonic.

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Physics

IMPORTANT

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Two waves of equal frequency $f$ and velocity $v$ travel in opposite directions along the same path. The waves have amplitudes $A$ and $3 A .$ Then:

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Important Questions on Superposition and Standing Waves

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 20

A plane wave

y = a \sin (k x + c t)

is incident on a surface. Equation of the reflected wave is:

y^{'} = a^{'} \sin (c t - b x) .

Then which of the following statements are correct?

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 21

A string is fixed at both ends and transverse oscillations with amplitude

a_{0}

are excited. Which of the following statements are correct?

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Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 22

Two sine waves of slightly different frequencies

f_{1}

and

f_{2} (f_{1} > f_{2})

with zero phase difference, same amplitudes, travelling in the same direction superimpose.

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 23

Two waves of the nearly the same amplitude, same frequency travelling with the same velocity are superimposing to give the phenomenon of interference. If

a_{1}

and

a_{2}

be their respective amplitudes,

ω

be the frequency for both,

v

be the velocity for both and

Δϕ

is the phase difference between the two waves then,

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 1

Two identical sinusoidal waves travel in opposite direction in a wire

15 m

long and produce a standing wave in the wire. If the speed of the waves is

12 {ms}^{- 1}

and there are

6

nodes in the standing wave. Find the frequency.

EASY

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 2

For a certain organ pipe, three successive resonance observed are

425, 595

and

765 Hz .

Taking the speed of sound to be

340 {ms}^{- 1}

, find the length of the pipe, in meter.

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 3

The standing wave pattern shown in the tube has a wave speed of $5.0 {ms}^{- 1} .$ What is the frequency of the standing wave [in $Hz$ approx. ] ?

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MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 4

A tuning fork of frequency

200 Hz

is in unison with a sonometer wire. How many beats are heard in

30 s

if the tension is increased by

1 %

(in terms of

\times 10

)

Two waves of equal frequency f and velocity v travel in opposite directions along the same path. The waves have amplitudes A and 3A. Then:

Important Questions on Superposition and Standing Waves

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Two waves of equal frequency $f$ and velocity $v$ travel in opposite directions along the same path. The waves have amplitudes $A$ and $3 A .$ Then: