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Q.

In a Young’s double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away. A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes on the screen. The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is:
 

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a

9.75 mm

b

15.6 mm

c

1.56 mm

d

7.8 mm

answer is D.

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Detailed Solution

n1β1=n2β2

n1(650)=n2(520)

n1=4,n2=5

 So, y=n1λ1Dd=4×650×10-9×1.50.5×10-3=7.8mm

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