Laser Cutting Width

question about wave optics.. help!?

For a demonstration, a professor uses a razor blade to cut a thin slit in a piece of aluminum foil. When she shines a laser pointer (λ = 674 nm) through the slit onto a screen 5.1 m away, a diffraction pattern appears. The bright band in the center of the pattern is 8.0 cm wide. What is the width of the slit?
in µm

sin θ ~= tan θ = λ/d = x/2D
=> width of the slit, d
= 2Dλ / x
= 2 * 5.1x 10^(6) * 674 x 10^-9 x 10^6 / 8 x 10^(4) µm
= 85.94 µm.

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Laser Cutter : DigInfo

Help with PHYSICS Problem?

For a demonstration, a professor uses a razor blade to cut a thin slit in a piece of aluminum foil. When she shines a laser pointer (λ = 672 nm) through the slit onto a screen 5.6 m away, a diffraction pattern appears. The bright band in the center of the pattern is 5.0 cm wide. What is the width of the slit?

use the equations Tan0 = x/l 0= theta
and sin0 = mL/d L=lambda

the central fringe is twice as large as the other fringes so 2x = x for this problem.
l = 5.6m
x= 2.5cm or 0.025m
from that we can find 0.
that theta corresponds to an m value of 1 due to the x value.
so 1 x 672 x 10^-9m/d = sin0
from that you can find ur answer.