A helium-neon laser (λ = 633 nm) illuminates a single slit and is observed on a screen 1.80 m behind the slit. The distance between the first and second minima in the diffraction pattern is 3.95 mm . What is the width (in mm) of the slit?

Respuesta :

Answer:

d = 0.286 mm

Explanation:

from single silt diffraction pattern we have

[tex]y =\frac{m\lambda D}{d}[/tex]

difference in y between first and second minima isgiven as

[tex]y_2 -y_1 = \frac{2*633*10^{-9}1.80}{d} - \frac{1*633*10^{-9}1.80}{d}[/tex]

              [tex] = \frac{1.13*10^{-6}}{d}[/tex] m

but we have

[tex]y_2 -y_1 = 3.95[/tex]

[tex]\frac{1.13*10^{-6}}{d} = 3.95*10^{-3}m[/tex]

d = 2.86*10^{-4} m

d = 0.286 mm

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