Interference of Waves

There is a destructive interference between the two waves of wavelength $\lambda$ coming from two different paths at a point. To get maximum sound or constructive interference at that point, the path of one wave is to be increased by 

A tuning fork of frequency $480 \mathrm{Hz}$ is used in an experiment for measuring speed of sound $\left(v\right)$ in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column$l_1=30 \mathrm{cm}$ and $l_2=70 \mathrm{cm}$. Then, $v$ is equal to

The displacement equations of two interfering waves are given by$y_1=10\sin \left(\omega t+\frac{\pi }{3}\right) \mathrm{cm}$, $y_2=5[\sin \omega t + \surd 3 \cos \omega t] \mathrm{cm}$ respectively. The amplitude of the resultant wave is _____ $\mathrm{cm}.$

Two plane progressive waves shows destructive interference at point$P$. Which of the following statement is true at point $P$:-
 

A sound source emits two sinusoidal sound waves, both of wavelength $\lambda ,$ along paths $A$ and $B$ as shown in figure. The sound travelling along path $B$ is reflected from four rigid surfaces as shown and then interferes at point $Q,$ producing minimum intensity at that point. The minimum value of $d$ in terms of $\lambda$ is $\frac{\lambda }{N},$ find the value of $N :$

Two speakers connected to the same source of fixed frequency are placed $2 \mathrm{m}$ apart in a box. A sensitive microphone placed at a distance of $4 \mathrm{m}$ from their midpoint along the perpendicular bisector shows a maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains the same. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of sound wave is (in $\mathrm{m}$):

Two loudspeakers $L_1$ and $L_2$ driven by a common oscillator and amplifier are arranged as shown. The frequency of the oscillator is gradually increased from zero and the detector at $D$ records a series of maxima and minima. If the speed of sound is $330 \mathrm{m} {\mathrm{s}}^{-1}$, then the frequency at which the first maximum is observed is

An observer receives waves directly from a source of sound distant $120 \mathrm{m}$ in a big hall. He also receives waves reflected from the mid-point of $25 \mathrm{m}$ high ceiling. The wavelength of sound for constructive interference to take place between two waves, must be

The maximum intensity of fringes in Young's experiment is $I$. If one of the slit is closed then, the intensity at that place becomes $I_o$. Which of the following relations is true? 

Two speakers connected to the same source of fixed frequency are placed $2 \mathrm{m}$ apart in a box. A sensitive microphone placed at a distance of $4 \mathrm{m}$ from the mid-point along the perpendicular bisector shows maximum response. The box is slowly rotated till the speakers are in line with the microphone. The distance between the mid-point of the speakers and the microphone remains unchanged. Exactly $5$ maximum responses (including the initial and last one) are observed in the microphone in doing this. The wavelength of the sound wave is,

$S_1 \&\mathit{ }{S}_2$ are two coherent sources of sound having no initial phase difference. The velocity of sound is $330 \mathrm{m} {\mathrm{s}}^{-1}$. No minima will be formed on the line passing through $S_2$ and perpendicular to the line joining $S_1 \text{and}\mathit{ }{S}_2$ if the frequency of both the sources is

A loudspeaker $L$ is placed in the hall with two doors $D_1$ and $D_2$ as shown below. The distance between $D_1$ and $D_{\mathit{2}}$ is $8.5 \mathrm{m}$. The loudspeaker $L$ is equidistant from $D_{\mathit{1}}$ and $D_{\mathit{2}}$ Monotonic sound waves are emitted from the loudspeaker, and it is found that at point $P$ which is $6.0 \mathrm{m}$ from $D_{\mathit{1}}$ and at point $Q$ the sound intensities are minimum. The line joining $D_{\mathit{1}}\mathit{,}P$ and $Q$ is perpendicular to the line joining $D_{\mathit{1}}$ and $D_{\mathit{2}}$. No other minimum intensity locations can be found between $P \mathrm{and} Q$ and beyond $Q$ along the $PQ$ line. What is the frequency of the sound wave generated by the loudspeaker ?(Speed of sound is $340 \mathrm{m}/\mathrm{s}$ )

Figure shows a Young’s double slit experiment setup. The source $S$ of wavelength $4000Å$ oscillates along $y-$ axis according to the equation $y=\sin \pi t$, where $y$ is in millimeters and $t$ is in seconds. The distance between two slits $S_1$ and $S_2$ is $0.5\mathrm{m}\mathrm{m}$.

In Young's double slit experiment, the intensity of light coming from one of the slits is double the intensity from the other slit. The ratio of the maximum intensity to the minimum intensity in the interference fringe pattern observed is

In a double-slit experiment, green light $\left(5303 Å\right)$ falls on a double slit having a separation of $19.44 \mu m$ and a width of $4.05 \mu m.$ The number of bright fringes between the first and the second diffraction minima is:

In a Young's double slit experiment, the path difference, at a certain point on the screen, between two interfering waves is $\frac{1}{8}th$ of wavelength. The ratio of the intensity at this point to that at the centre of a bright fringe is close to:

In the modified YDSE arrangement shown in the figure, $y_0=\frac{\mathrm{\lambda }D}{3d}$, where $\mathrm{\lambda }$ is wavelength of light used. The ratio of maximum to minimum intensity observed on screen is




चित्र में दर्शाए रूपान्तरित YDSE समंजन में, $y_0=\frac{\mathrm{\lambda }D}{3d}$, जहाँ $\mathrm{\lambda }$ प्रयुक्त प्रकाश की तरंगदैर्ध्‍य है। तब पर्दे पर प्रेक्षित अधिकतम तथा न्यूनतम तीव्रता का अनुपात है

Two sound sources are placed along the diameter of a circle of radius $R \left(R\gg 4\lambda \right)$. How many minima will be heard as one moves along the perimeter of the circle?

In a YDSE set up the separation between the slits is $3\times {10}^{-3}$ m. The distance between the slits and the screen is 1.5 m. Light of wavelength in the visible range $(4000\stackrel{°}{A}-8000\stackrel{°}{A})$ is allowed to fall on the slits. The wave length in the visible region that will be present on the screen at a distance of $1.5\times {10}^{-3}$ m from central maxima is

Statement-1: Two sound waves of equal intensity I produced beats. The maximum intensity of sound produced in beats is 4I.

Statement-2: If two waves of amplitudes ${\mathrm{a}}_1$ and ${\mathrm{a}}_2$ superpose, the maximum amplitude of the resultant wave $={\mathrm{a}}_1+{\mathrm{a}}_2$ .