Pls help asap
2 answers:
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In the single-slit experiment, the displacement of the minima of the diffraction pattern on the screen is given by
where
n is the order of the minimum
y is the displacement of the nth-minimum from the center of the diffraction pattern
is the light's wavelength
D is the distance of the screen from the slit
a is the width of the slit
In our problem,
And the distance of the first minimum (n=1) from the center of the pattern is
The problem asks for the width of the pattern's central maximum. This will be equal to the distance between the first minimum on one side and the first minimum on the other side, so it will be equal to twice the distance we just found:
where
n is the order of the minimum
y is the displacement of the nth-minimum from the center of the diffraction pattern
D is the distance of the screen from the slit
a is the width of the slit
In our problem,
And the distance of the first minimum (n=1) from the center of the pattern is
The problem asks for the width of the pattern's central maximum. This will be equal to the distance between the first minimum on one side and the first minimum on the other side, so it will be equal to twice the distance we just found: