Diffraction of Light through Single Slit

Therefore, in summary, the correct solution is to use theta = 12.5 degrees, which yields a value of lambda = 6.49*10^-7 meters.
  • #1
samdiah
81
0

Homework Statement



Monochromatic light falls into slit 3.00*10^-6 wide. The angle between the first dark fringes on either side of the cental maximum is 25 derees. Calculate the λ.

w=3.00*10^-6 m
ө=25˚

Homework Equations



sin(ө) = nλ/w
sin(ө) = ((m+0.5)λ)/w
Δy=λL/w

The Attempt at a Solution



sinө=λ/w
λ=sin25*3.0*10^-6
=1.3*10^-6 m

hoever the answer is 6.49*10^-7
 
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  • #2
Please help its really easy I just don't get the concept!
 
  • #3
samdiah said:
The angle between the first dark fringes on either side of the cental maximum is 25 derees.
You have misinterpreted the angle. You are given the angle between the first dark fringes, but in the equation sin(theta) = n lambda/w, theta is the angle of the dark fringes measured from the central maximum.
 

What is diffraction of light through a single slit?

Diffraction of light through a single slit is a phenomenon that occurs when a beam of light passes through a narrow opening or slit. This results in the spreading out of the light waves, creating a pattern of bright and dark fringes on a screen placed behind the slit.

What factors affect the diffraction of light through a single slit?

The diffraction of light through a single slit is affected by the wavelength of the light, the size of the slit, and the distance between the slit and the screen.

What is the relationship between the size of the slit and the diffraction pattern?

The size of the slit is directly proportional to the width of the central maximum in the diffraction pattern. This means that a larger slit will result in a wider central maximum, while a smaller slit will result in a narrower central maximum.

What is the difference between single slit diffraction and double slit interference?

Single slit diffraction is the bending and spreading out of light waves as they pass through a single narrow slit, while double slit interference is the result of light waves interacting with each other as they pass through two parallel narrow slits, creating a pattern of bright and dark fringes.

How is the intensity of the diffraction pattern affected by the size of the slit?

The intensity of the diffraction pattern is inversely proportional to the width of the central maximum. This means that a wider slit will result in a brighter central maximum, while a narrower slit will result in a dimmer central maximum.

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