Double-Slit sin (2 theta) help?

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SUMMARY

The discussion centers on solving a double-slit experiment problem involving monochromatic light, where the angle for the second-order bright fringe is given as 0.0230 radians and the slit separation is 0.0350 mm. To find the wavelength and color of the light, as well as the lateral displacement of the fringe, the formula involving sin(2θ) is relevant. The user expresses confusion regarding the application of sin(2θ) in this context, indicating a need for clarification on its use in the calculations.

PREREQUISITES
  • Understanding of the double-slit experiment principles
  • Knowledge of trigonometric functions, specifically sin(θ)
  • Familiarity with wavelength calculations in physics
  • Basic grasp of fringe displacement concepts in wave interference
NEXT STEPS
  • Study the derivation of the double-slit interference formula
  • Learn how to apply the sin(2θ) function in wave physics
  • Research the relationship between wavelength and color in light
  • Explore calculations for fringe displacement in interference patterns
USEFUL FOR

High school physics students, particularly those studying wave optics and interference patterns, as well as educators seeking to clarify concepts related to the double-slit experiment.

MadMatt
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I'm in physics I and only in Trig for the first time this year (Jr in HS).
I do not remember sin (2 theta) in any previous lessons.
I need in help in the following problem using it.

In a double-slit experiment with monochromatic light and a screen at a distance of 1.50 , the angle between the second-order bright fringe and the central maximum is 0.0230 rad. If the separation distance of the slits is 0.0350 mm, what are (a) the wavelength and color of the light and (b) the lateral displacement of the fringe.

I am so confused with the question. I'm not even sure i need the sin (2 theta) in here. Any help will be appreciated.

I am new to the site (found in a google search). So if this is the wrong forum, I appologize.
 
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I'm moving this to the physics homework forum.
 

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