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Physics - Wave Optics Question with Solution | TestHub

PhysicsWave OpticsYDSEMedium2 minPYQ_2024

PhysicsMediumsingle choice

In the Young's double slit experiment, the intensity at a point on the screen, where the path difference is $λ (λ =$ wavelength $)$ is $β$ . The intensity at a point where the path difference is $λ /3$ , will be $cos \frac{π}{3} = 1/2]$

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Answer:

Solution:

Phase difference $ϕ = \frac{2 π}{λ} Δ x$

When $Δ x = λ$ , $ϕ = 2 π$

Intensity $I = I_{0} cos^{2} (\frac{ϕ}{2}) = I_{0} cos^{2} (π) = I_{0}$

Given $I_{0} = β$

When $Δ x = \frac{λ}{3}$ , $ϕ = \frac{2 π}{λ} \times \frac{λ}{3} = \frac{2 π}{3}$

Intensity $I^{'} = I_{0} cos^{2} (\frac{π}{3}) = β (\frac{1}{2})^{2} = \frac{β}{4}$

Answer: $\frac{β}{4}$

Stream:MHT_CETSubject:PhysicsTopic:Wave OpticsSubtopic:YDSE

⏱ 2mℹ️ Source: PYQ_2024

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