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Q.

In Young's double slit experiment, the angular width of a fringe formed on a distant screen is 0.1°. If the wavelength of light used is 628 nm, the spacing between the slits is:

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a

7.2 × 10-4 m

b

3.6×10-4 m

c

1.8 × 10-4 m

d

0.9 × 10-4 m

answer is C.

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Detailed Solution

Angular width of a fringe is given by

  θ=λd  

d=λθ              (1)

Given λ = 628 nm = 628×10-9 m  and θ=0.1°= 0.1×π  180rad.

Using these values in Eq.(1), we find that d=3.6×10-4m

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In Young's double slit experiment, the angular width of a fringe formed on a distant screen is 0.1°. If the wavelength of light used is 628 nm, the spacing between the slits is: