The distance between slit and screen is 1.1m
When the light from sodium vapor lamp passes through slits, it produces an interference pattern and we obtain a fringe pattern on the screen . With the help of this fringe pattern we can determine the fringe width.
What is a sodium vapor lamp?
It is a light source which produces a nearly monochromatic light (single wavelength) of yellow color having wavelength 5.59 x 10⁻⁷m.
What is interference?
Interference is a phenomenon in redistribution of energy takes place when two or more waves having same wavelength , travelling in same direction, having a constant phase relationship , and having equal or almost equal amplitude superpose on each other.
What is a fringe pattern
As a result of interference pattern of alternate bright and dark bands are seen on the screen. This is called fringe pattern and is caused due to constructive and destructive interference.
What is fringe width?
The distance between two consecutive bright fringes or dark fringes is called fringe width.
It is given by ,
β = λD/d
Where, β = fringe width
D = distance between screen and slit
d = distance between two slits
Given here,
Fringe width β = 3.2 x 10⁻³m
Distance between two slits d = 2.0 x 10⁻⁴m
wavelength λ = 5.89 x 10⁻⁷m
Since,
β = λD/d
So, D = β d/λ
D = (3.2 x 10⁻³m)(2.0 x 10⁻⁴m)/5.89 x 10⁻⁷m
So, D = 1.1 m
Hence the distance between screen and slit is 1.1 m
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