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Physics - Wave Optics Question with Solution | TestHub

PhysicsWave OpticsYDSEHard2 minPYQ_2017

PhysicsHardsingle choice

Young's double slit experiment is first performed in air and then in a medium other than air. It is found that $8^{t h}$ bright fringe in the medium lies where $5^{t h}$ dark fringe lies in air. The refractive index of the medium is nearlyNEET 2017

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Answer:

Solution:

In air distance of $5^{t h}$ dark fringe is $y_{1}$

$y_{1} = y_{5^{t h} d a r k}$ $= (2 \times 5 - 1) \frac{λ D}{2 d}$ $= \frac{9 λ D}{2 d}$

Also, the distance of $8^{t h}$ bright fringe in the medium is $y_{2} = y_{8^{t h} B r i g h t} = 8 \frac{λ D}{μ d}$

$y_{1} = y_{2}$ (according to question)

$\frac{9}{2} \frac{λ D}{d} = 8 \frac{λ D}{μ d}$

$μ = \frac{16}{9} = 1.78$

Stream:NEETSubject:PhysicsTopic:Wave OpticsSubtopic:YDSE

⏱ 2mℹ️ Source: PYQ_2017

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