Finding the theoretical value of the wavelength for a double slit experiment?

AI Thread Summary
The discussion revolves around calculating the theoretical wavelength in a double slit experiment, where the user has provided specific measurements and an equation for the experimental wavelength. The user calculated an experimental wavelength using the formula wavelength = dh/mD but is confused about how to determine the theoretical wavelength without an angle. There is a request for clarification on the definitions of experimental and theoretical wavelengths, as well as the need for a diagram of the setup to better understand the measurements taken. The conversation highlights the importance of clear problem statements and accurate definitions in physics experiments. Overall, the user seeks guidance on the appropriate equations and methods to find the theoretical wavelength.
ronsa
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Homework Statement


m=maximum h=distance on the screen from the center of the pattern to the mth maximum D=distance from the central bright peak to the slits d=distance between two slits
I have m=1 d(mm)=0.25mm D=2000mm h=0.5mm wavelength= 6.25E-5mm

Homework Equations


So I used this equation to find the experimental wavelength for the first 5 wavelengths
Wavelength= dh/mD for experimental wavelength

The Attempt at a Solution


To find the experimental wavelength I took the average of the five wavelengths (other four wavelengths are not shown), but now I am lost in trying to find the theoretical value for the wavelengths. Since we don't have an angle because we traced the interference patterns for a double slit, I couldn't use this equation (wavelength=dsin(theta)/m) for the theoretical wavelength. I am not sure which equation to use to find the theoretical wavelength. Please help I am so confused...
 
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Hello Ronsa, and welcome to PF :)

Glad to help if I can, but you have to help me in getting a clear picture what this is about. The problems statement is sort of mssing: you start with a list of variables.

What have you measured ? h = 0.5 mm from the center of the pattern to the first maximum ? That's quite small, but who knows.

How do you calculate the wavelength ? Visible red is more like ten times longer wavelengths...

Then: "To find the experimental wavelength I took the average of the five wavelengths" Do you have five light sources ?
What is your definition of experimental wavelength ? and of theoretical wavelength ?

Why do you think you don't have an angle ?
Can you post a drawing of the setup ? Or find a link that has a clear drawing ?
 
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