Q.7 Green light of wavelength 5100Aº from a narrow slit incident on a double slit. If overall separation of 10 fringes on screem 2m away is 2 cm. Find slit separation.
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Answer:
The wavelength of the green lightλ=100A
0
=100×10
−
10m
=10
−
8m
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=
10
2
cm
=0.2cm
=0.002m
We are asked to calculate the slit width
[d]
The fringe width is calculated as follows β=
d
λD
⇒d=
β
λD
=
0.002
10
−
8×2
m
=10
−5
m
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