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Question

The green light of wavelengths 100A from a narrow slit is incident on a double slit. If the overall separation of 10 fringes on a screen 200cm away is 2cm, find the slit separation?

A
105 m
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B
107 m
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C
106 m
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D
108 m
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Solution

The correct option is C 105 m

The wavelength of the green lightλ=100A0

=100×1010m

=108m

The distance between screen and slit is given as D=200cm=2m.

The separation between 10 fringes is given as 2 cm.

Hence, the fringe width is calculated asβ=210cm

=0.2cm

=0.002m

We are asked to calculate the slit width

[d]

The fringe width is calculated as follows β=λDd

d=λDβ

=108×20.002m

=105m


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