Calculate the wavelength of light illuminates two, slits 0.5 mm apart and produces an interference pattern on a screen placed 200 cm away from the slits. The first bright fringe is observed at distance of 2.4 mm from the central bright image. (Ans: 600 nm)
Data Given:
Separation between the slits = d = 0.5 mm = 0.5 x 10⁻³ m = 5.0 x 10⁻⁴ m
Distance between Slit and screen = L = 200 cm = 2 m
Distance between the adjacent Maxima on the screen = y = 2.4 mm = 2.4 x 10⁻³ m
Order (1st Minimum) = m = 1
To Find:
Wavelength of light = λ = ?
Solution:
Now using formula for mth bright fringe
y = mλLd
or
λ = ydmL
by putting values
λ = 2.4x10⁻³mx5.0x10⁻⁴m1x2m
λ = 12x10⁻⁷m²2m
λ = 6 x 10⁻⁷ m
or
λ = 600 x 10⁻⁹ m
or
λ = 600 nm ------------Ans
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