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Physics - Wave Optics Question with Solution | TestHub

PhysicsWave OpticsYDSEEasy2 minQB

PhysicsEasynumerical

Consider the interference at $P$ between waves emanating from three coherent sources in the same phase located at $S_{1}$ , $S_{2}$ and $S_{3}$ . If the intensity due to each source is $I_{0} = 12 W m^{- 2}$ at $P$ and $\frac{d^{2}}{2 D} = \frac{λ}{3}$ then what will be the resultant intensity (in $W m^{- 2}$ ) at $P$ ?

Answer:

36.00

Solution:

$S_{2} P - S_{1} P = d \sin θ_{1} = d . \frac{d / 2}{D} = \frac{d^{2}}{2 D} = \frac{λ}{3}$
$S_{3} P - S_{2} P = d \sin θ_{2} = d \frac{3 d / 2}{D} = \frac{3 d^{2}}{2 D} = λ$

I_Resultant= $I_{0} + 4 I_{0} + 2 \sqrt{I_{0}} \sqrt{4 I_{0}} c o s 120^{0}$
$= 3 I_{0}$

Stream:JEESubject:PhysicsTopic:Wave OpticsSubtopic:YDSE

⏱ 2mℹ️ Source: QB

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