Q.

In Young’s double slit experiment the separation d between the slits is 2mm, the wavelength λ of the light used is 5896A0 and distance D between the screen and slits is 100cm. It is found that the angular width of the fringes is 0.200. To increase the fringe angular width to 0.210 (with same λ and D) the separation between the slits needs to be changed to 

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a

1.8 mm

b

1.7 mm

c

2.1 mm

d

1.9 mm

answer is B.

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Detailed Solution

δ=BD=λdδ1δ2=d2d1;d2=δ1d1δ2=0.20.21×2d2=20×221=4021=1.9mm

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