Laser light of wavelength 480 nm is incident on a
circular aperture which has a diameter of 0.011 mm.
A diffraction pattern is observed on a screen which is placed 94
cm from the aperture.
Give your answer to at least three significant figures. Answer must
be accurate to 1%.
diffraction angle, θ, of the first diffraction minimum:
3.051662 degrees
You are correct. |
1) What is the distance, on the screen, from the center of the central bright spot to the first dark ring?
Given
Wavelength λ = 480 nm = 480 * 10^-9 m
Diameter of the aperture d = 0.011 mm = 0.011* 10^-3 m
Distance between screen and the aperture D = 94 cm = 0.94 m
Known
For the circular aperture diffraction m = 1.220 for first diffraction minimum
Solution
1)
The condition for first diffraction minimum is
dsinθ = mλ
sinθ = mλ/d
sinθ = 1.220 * 480 * 10^-9 /0.011 * 10^-3
θ = sin-1(0.0532)
θ = 3.05o
2)
For the dark ring the distance from center
y = D tanθ
y = 0.94 * tan 3.05
y = 0.0501 cm
I hope help you.
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