What is interference? Define its types.
(N/A) The phenomenon of the superposition of two waves is called interference.
It has two types:
$(1)$ Constructive interference
$(2)$ Destructive interference
$(1)$ Constructive interference: When the crest of one wave is superposed on the crest of another wave,or the trough of one wave is superposed on the trough of another wave,the amplitudes add up for the resultant wave. This is called constructive interference.
$(2)$ Destructive interference: When the crest of one wave is superposed on the trough of another wave,or the trough of one wave is superposed on the crest of another wave,the amplitudes subtract for the resultant wave. This is called destructive interference.
It has two types:
$(1)$ Constructive interference
$(2)$ Destructive interference
$(1)$ Constructive interference: When the crest of one wave is superposed on the crest of another wave,or the trough of one wave is superposed on the trough of another wave,the amplitudes add up for the resultant wave. This is called constructive interference.
$(2)$ Destructive interference: When the crest of one wave is superposed on the trough of another wave,or the trough of one wave is superposed on the crest of another wave,the amplitudes subtract for the resultant wave. This is called destructive interference.
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Two coherent sources of sound,$S_{1}$ and $S_{2}$,produce sound waves of the same wavelength,$\lambda = 1\, m$,in phase. $S_{1}$ and $S_{2}$ are placed $1.5\, m$ apart (see figure). $A$ listener,located at $L$,directly in front of $S_{2}$,finds that the intensity is at a minimum when he is $2\, m$ away from $S_{2}$. The listener moves away from $S_{1}$,keeping his distance from $S_{2}$ fixed. The adjacent maximum of intensity is observed when the listener is at a distance $d$ from $S_{1}$. Then,$d$ is $......\, m$.
DifficultJEE MAIN 2020
View SolutionOut of the given four waves $(1), (2), (3)$ and $(4)$:
$y = a \sin(kx + \omega t)$ ......$(1)$
$y = a \sin(\omega t - kx)$ ......$(2)$
$y = a \cos(\omega t - kx)$ ......$(3)$
$y = a \cos(kx + \omega t)$ ......$(4)$
emitted by four different sources $S_1, S_2, S_3$ and $S_4$ respectively,interference phenomena would be observed in space under appropriate conditions when:
$y = a \sin(kx + \omega t)$ ......$(1)$
$y = a \sin(\omega t - kx)$ ......$(2)$
$y = a \cos(\omega t - kx)$ ......$(3)$
$y = a \cos(kx + \omega t)$ ......$(4)$
emitted by four different sources $S_1, S_2, S_3$ and $S_4$ respectively,interference phenomena would be observed in space under appropriate conditions when:
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View SolutionThe equation of a simple harmonic progressive wave is given by $y = \frac{1}{\sqrt{a}} \sin \omega t \pm \frac{1}{\sqrt{b}} \cos \omega t$. The resultant amplitude of the wave is:
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View SolutionTwo identical waves $1$ and $2$,each of intensity $I_0$,are superimposed. The resulting intensity is:
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View SolutionThe displacement equations of two interfering waves are given by
$y_1 = 10 \sin \left(\omega t + \frac{\pi}{3}\right) \text{ cm}$
$y_2 = 5[\sin (\omega t) + \sqrt{3} \cos \omega t] \text{ cm}$ respectively.
The amplitude of the resultant wave is $............. \text{ cm}$.
$y_1 = 10 \sin \left(\omega t + \frac{\pi}{3}\right) \text{ cm}$
$y_2 = 5[\sin (\omega t) + \sqrt{3} \cos \omega t] \text{ cm}$ respectively.
The amplitude of the resultant wave is $............. \text{ cm}$.
DifficultJEE MAIN 2023
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