Single Slit Problems: Calculate Width of Central Maximum

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The problem involves calculating the width of the central maximum produced by a 0.42-mm-diameter hole illuminated by light with a wavelength of 510 nm, observed on a screen 1.8 m away. The user attempted to find the solution using incorrect values, specifically 4.4 mm and 2.2 mm, which were both incorrect. A suggestion was made that the formula used, f=λx/s, is not appropriate for this scenario involving a single slit. The discussion emphasizes the need for the correct approach to solve the problem accurately.
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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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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.
 
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
 
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