Angular Width Question in Single Slit Diffraction

In summary, the conversation is about calculating the angular width between the second minima and second maxima on the same side of the central maxima when a wavelength of 650 nm passes through a slit of 3.0 x 10^-3m wide. The relevant equation is sin theta = n(wavelength)/width, but there is uncertainty about whether the angle in the formula refers to a maximum or minimum. A diagram may be helpful in finding the solution.
  • #1
orangegalaxies
50
16
Homework Statement
What is the angular width between the second minima and second maxima on the same side of the central maxima if a wavelength of 650 nm passes through a slit of 3.0 x 10^-3m wide.
Relevant Equations
sin theta = n(wavelength)/width
i feel like subbing the numbers into the equation isn't enough because of the second minima and maxima thing? not sure what to do... would appreciate any help.
 
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  • #2
orangegalaxies said:
Homework Statement:: What is the angular width between the second minima and second maxima on the same side of the central maxima if a wavelength of 650 nm passes through a slit of 3.0 x 10^-3m wide.
Relevant Equations:: sin theta = n(wavelength)/width

i feel like subbing the numbers into the equation isn't enough because of the second minima and maxima thing? not sure what to do... would appreciate any help.
Have you drawn a diagram?
 
  • #3
orangegalaxies said:
Relevant Equations:: sin theta = n(wavelength)/width
Is 'theta' in your formula the angle for a maximum or for a minimum?

Singular: maximum, minimum
Plural: maxima, minima
 

1. What is the angular width of a single slit diffraction pattern?

The angular width of a single slit diffraction pattern is the angle between the first minima on either side of the central maximum. It is given by the equation θ = λ/d, where θ is the angular width, λ is the wavelength of the incident light, and d is the width of the slit.

2. How does the angular width change with the width of the slit?

The angular width is inversely proportional to the width of the slit. This means that as the slit becomes narrower, the angular width increases. Conversely, as the slit becomes wider, the angular width decreases.

3. What is the relationship between the angular width and the distance from the slit?

The angular width is directly proportional to the distance from the slit. This means that as the distance from the slit increases, the angular width also increases.

4. Can the angular width be changed by changing the wavelength of the incident light?

Yes, the angular width is directly proportional to the wavelength of the incident light. This means that as the wavelength increases, the angular width also increases.

5. How does the number of slits affect the angular width in a diffraction pattern?

The number of slits does not affect the angular width in a diffraction pattern. The angular width is only dependent on the width of the single slit and the wavelength of the incident light.

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