Interference of sound waves - class-XI
Description: Interference of sound waves | |
Number of Questions: 35 | |
Created by: Supriya Thakkar | |
Tags: superposition of waves waves oscillations and waves superposition of waves-1: interference and beats physics |
If the difference between the frequencies of two waves is 10 Hz then time interval between successive maximum intensity is:
The intensity of the sound gets reduced by $10$% on passing through a slab. The reduction in intensity on passing through two consecutive slab, would be
Statement-1:
Two longitudinal waves given by equations; ${ y } _{ 1 }$(x,t) = 2a $\sin { \left( \omega t-kx \right) } $ and ${ y } _{ 2 }\left( x,t \right) $ = a $\sin { \left( 2\omega t-2kx \right) } $ will have equal intensity.
Two coherent sources of different intensities send waves which interfere. If the ratio of maximum and minimum intensity in the interference pattern is $25$ then find ratio of intensity of source :
Statement -1:
Two longitudinal waves given by equation $y _{1}$(x,t) = 2a sin $(\omega - kx)$ and $y _{2}$(x,t) = a sin $(2\omega - 2kx)$ will have equal intensity.
Statement -2:
Intensity of waves of given frequency in the same medium is proportional to the square of amplitude only.
If two waves maintain constant phase difference or same phase at any two points on a wave is known as spatial coherence.
Intensity (I) is related to amplitude (A) as:
The resultant intensity for two identical waves of intensity I with a phase difference of $\pi/3$ is
If the sum of the intensities of two component waves are 5I units and upon superposition with a phase difference of $\pi $ radians, their resultant is 2I, what are the intensities of component waves
Waves from two sources superpose on each other at a particular point amplitude and frequency of both the waves are equal. The ratio of intensities when both waves reach in the same phase and they reach with the phase difference of $90^{\circ}$ will be
Suppose displacement produced at some point $P$ by a wave is $y _1=a cos \omega t$ and by another wave is $y _2=a cos \omega t$.Let $I _0$ represents intensity produced by each one of individual wave, then resultant intensity due to overlapping of both wave is
Two waves $Y _{1}=a\sin \omega t$ and $Y _{2}=a\sin (\omega t+\delta)$ are producing interference, then resultant intensity is-
Sounds from two identical $S _1$ and $S _2$ reach a point P. When the sounds reach directly, and in the same phase, the intensity at $P$ is $I _0$. The power of $S _1$ is now reduced by $64\%$ and the phase difference between $S _1$ and $S _2$ is varied continuously. The maximum and minimum intensities recorded at P are mow $I _{max}$ and $I _{min}$
Path difference between two waves from a coherent sources is 5 nm at a point P. Wavelength of these waves is 100 $\mathring { A } $. Resultant intensity at point P if intensity of sources is $l _0$ and $4l _0$
A laser beam can be focussed on an area equal to the square of its wavelength. A He-Ne laser radiates energy at the rate of $1\,nW$ and its wavelength is $632.8\,nm$.The intensity of foucussed beam will be
Ration of maximum and minimum intensities is refrence pattern is 25:1 . The ration of intensities of refring waves is:
Two waves of intensities $I$ and $4I$ superimpose. The minimum and maximum intensities will respectively be
For a wave displacement amplitude is $10^{-8} m$ density of air $1.3 kg m^{-3}$ velocity in air $340 ms^{-1}$ and frequency is 2000 Hz.The average intensity of wave is
Two sound waves of equal intensity $I$ superimpose at point $P$ in $90^{\small\circ}$ out of phase. The resultant intensity at point $P$ will be
A wave of frequency 500$\mathrm { Hz }$ travels between $\mathrm { x }$and $\mathrm { Y }$ and travel a distance of 600$\mathrm { m }$ in 2$\mathrm { sec }$ . between $X$ and $Y .$ How many wavelength are therein distance $X Y$ :
Four independent waves are represented by the equations :
$y _1 = a _1\ sin\ \omega t$
$y _2 = a _2\ sin\ \omega t$
$y _3 = a _3\ cos\ \omega t$
$y _4 = a _4\ sin\ (\omega t + \pi/3)$
Then the waves for which phenomenon of interference will be observed are -
Two sinusoidal plane waves same frequency having intensities $I _0 $ and $ 4I _0 $ are travelling in same direction. The resultant intensity at a point at which waves meet with a phase difference of zero radian is
If the ratio of maximum to minimum intensity in beat is 49, then the ratio of amplitudes of two progressive wave trains
If the intensities of two interfering waves be $ I _1 $ and $ I _2 $, the contrast between maximum and minimum intensity is maximum, when
If the phase difference between two sound waves of wavelength $ \lambda $ is $ 60^{\circ} $, the corresponding path difference is
Equations of stationary and a travelling wave are as follows: $Y _1=sin\, kx\, cos\,\omega t$ and $Y _2=a\, sin\, (\omega t-kx)$. The phase difference between two points $X _1=\dfrac{\pi}{3k}$ and $ X _2=\dfrac{3\pi}{2k}$ are $\phi _1$ and $\phi _2$ respectively for the two waves.The ratio of $\dfrac{\phi _1}{\phi _2}$ is
Two waves of intensities 1 and 4 superimposes. Then the maximum and minimum intensities are :
Two periodic waves of intensities ${I} _{1}$ and ${I} _{2}$ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities possible is :
State whether true or false :
The phenomenon of interference is consistent with the law of conservation of momentum.
A travelling wave represented by $y=A\sin { \left( \omega t-kx \right) } $ is superimposed on another wave represented by $y=A\sin { \left( \omega t+kx \right) } $. The resultant is
The ratio of intensities of two waves that produce interference pattern is 16:1, then the ratio of maximum and minimum intensities in the pattern is :
Consider the superposition of N harmonic waves of equal amplitude and frequency. If N is a very large number determine the resultant intensity in terms of the intensity $\left( { I } _{ 0 } \right)$ of each component wave for the condition when the component waves have identical phases.
Two waves having their intensities in the ratio 9:1 produce interference. In the interference pattern, the ratio of maximum to minimum intensity is equal to
Assertion - Two sinusoidal waves on the same string exhibit interference.
Reason - these waves, add or cancel out according to the principle of superposition
Which of the following is true?