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Q.

In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1 m away, was found to be 0.2°. What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water? μwater =4/3

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a

0.1°

b

0.266°

c

0.15°

d

0.05°

answer is C.

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Detailed Solution

Angular width for first minima in Young's double slit experiment, θ=λa  experiment, θ=λa  For given value of a,θ∝λ θθw=λλw=λλμ=μ⇒θw=θμ=0.2°43=0.15°
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In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1 m away, was found to be 0.2°. What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water? μwater =4/3