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Q.

In a YDSE experiment, the two slits are covered with a transparent membrane of negligible thickness which allows light to pass through it but does not allow water. A glass slab of thickness t=0.41mm and refractive index μ0=1.5  is placed in front of one of the slits as shown in the figure. The separation between the slits is d=0.30mm. The entire space to the left of the slits is filled with water of refractive index  μw=4/3.  if A coherent light of intensity I and absolute wavelength λ=5000A is being incident on the slits making an angle 300 with horizontal if Screen is placed at a distance  D=1m from the slits, the position of central maxima from point O on the screen will be (approximately) 

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a

0.6 cm above the central line of slits

b

0.6 cm below the central line of slits 

c

1.6 cm below the central lie of slits

d

1.6 cm above the central line of slits 

answer is D.

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Detailed Solution

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For central bright fringe:  μwdsin300(μ1)tdsinθ=0

sinθ=0.016        tanθ=sinθ=0.016     =yD=0.16y=0.016m=1.6cm

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