Stuck in wave interference question

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SUMMARY

The discussion focuses on a physics problem involving wave interference from a two-slit apparatus, specifically analyzing light with a wavelength of 576 nm. The setup includes slits that are 0.434 mm wide and separated by 0.640 mm, with an intensity of 5.00×10−4 W/m2 at the center of the interference pattern. Participants clarify that the variable "d" in the intensity pattern equation refers to the center-to-center distance between the slits, not the distance between the inner edges of the slits. This distinction is crucial for accurately solving the problem.

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  • Familiarity with the two-slit experiment
  • Knowledge of intensity calculations in wave physics
  • Basic proficiency in using equations related to light and interference patterns
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  • Study the derivation of the intensity pattern equation for two-slit interference
  • Learn how to calculate intensity at various points on the screen using the two-slit formula
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Students studying wave optics, physics educators, and anyone interested in understanding the principles of light interference and its mathematical applications.

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Homework Statement



Light of 576 nm wavelength is directed at a two-slit apparatus and produces a famous intensity pattern on a screen 75.0 cm away. Each slit is 0.434 mm wide, and the center-to-center separation of the slits is 0.640 mm.

Given that the intensity at the very center of the pattern is 5.00×10−4W/m2 , determine the intensity at a point a distance 0.900 mm , measured along the screen, from the very center.

The question had lots of numbers, so I just posted a pic instead of typing everything in latex. (sorry!)


2. Homework Equations

Look at picture!

The Attempt at a Solution


Look at picture in attachment!
 

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The ##d## in the intensity pattern equation is the center-to-center distance between the slits, it's not the distance between the inner edges of the slit as you seem to have assumed.
 

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