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Q.

In Young's double slit experiment the separation d between the slits is 2 mm the wavelength λ of the light used is 5896 Ao and distance D between the screen and slits is 100 cm. It is found that the angular width of the fringes is 0.20o. To increase the fringe angular width to 0.21o (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

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Angular fringe width θ=λd,
where, λ is wavelength,
d is separation between slits.
θ1d λ is constant.
θ1θ2=d2d10.200.21=d2d1d1=2mm. d2=1.9mm.

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