Single Slit Problems: Calculate Width of Central Maximum

In summary, the question is asking for the width of the central maximum on a screen located 1.8m behind a 0.42-mm-diameter hole illuminated by 510nm light. The formula f=λx/s was attempted but yielded incorrect answers of 4.4mm and 2.2mm. Further clarification on the correct formula is needed for a accurate solution.
  • #1
Plasmosis1
17
0

Homework Statement



A 0.42 -mm-diameter hole is illuminated by light of wavelength 510nm. What is the width (in mm) of the central maximum on a screen 1.8m behind the slit?

Homework Equations



f=λx/s

The Attempt at a Solution



I tried two answers, 4.4mm and 2.2mm and they are both wrong. Any suggestions?
 
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  • #2
Plasmosis1 said:
I tried two answers, 4.4mm and 2.2mm and they are both wrong. Any suggestions?
Please show how you got those answers. It is hard to guess what you did wrong otherwise.
 
  • #3
Plasmosis1 said:

Homework Statement



A 0.42 -mm-diameter hole is illuminated by light of wavelength 510nm. What is the width (in mm) of the central maximum on a screen 1.8m behind the slit?

Homework Equations



f=λx/s

The Attempt at a Solution



I tried two answers, 4.4mm and 2.2mm and they are both wrong. Any suggestions?

It is not the correct formula for a hole. See your other thread.

ehild
 

Related to Single Slit Problems: Calculate Width of Central Maximum

1. What is a single slit problem?

A single slit problem is a type of diffraction problem in which light from a single source passes through a small opening or slit and is then observed on a screen. This phenomenon can be used to calculate the width of the central maximum, which is the brightest part of the diffraction pattern.

2. How do you calculate the width of the central maximum?

The width of the central maximum can be calculated using the formula w = λL/d, where w is the width of the central maximum, λ is the wavelength of the light, L is the distance from the slit to the screen, and d is the width of the slit. This formula is known as the single slit diffraction equation.

3. What factors can affect the width of the central maximum?

The width of the central maximum can be affected by several factors, including the wavelength of the light, the distance between the slit and the screen, and the width of the slit. Additionally, the intensity of the light source and any interference patterns created by multiple slits can also impact the width of the central maximum.

4. Can the width of the central maximum be larger than the width of the slit?

Yes, it is possible for the width of the central maximum to be larger than the width of the slit. This can occur when the distance between the slit and the screen is large enough, causing the diffraction pattern to spread out and the central maximum to become wider.

5. How is the single slit problem used in real-life applications?

The single slit problem has many practical applications, such as in the design of optical instruments like cameras and telescopes. It is also used in the study of wave behavior and can be seen in everyday phenomena like the diffraction of light through a window or the blurring of shadows due to light diffracting around objects.

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