How to calculate the frequency given a colour, angle, 100 slits/mm.

AI Thread Summary
To calculate the wavelength given an angle of 3.4 degrees, a color of purple, and a diffraction rating of 100 slits/mm, the relationship between speed, wavelength, and frequency must be utilized. The equation v = fλ indicates that knowing either frequency or wavelength allows for the calculation of the other. The condition for maxima in diffraction gratings can be applied here, similar to the double slit experiment. Resources such as textbooks on diffraction gratings or the double slit experiment may provide further guidance. Ultimately, using the provided angle and diffraction information will enable the determination of the wavelength needed for further calculations.
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So for my assignment I have to calculate the wavelength given an angle, colour, 100 slits/mm diffraction rating but no frequency.
Angle = 3.4 degrees
Colour = Purple

For v =∫λ,
I need the wavelength or frequency to work out anything, v is the speed of light. But I cannot see how to find this without the frequency and I need a wavelength to work out the frequency.

Can anyone help?
 
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Do you have a textbook that covers diffraction gratings, or the double slit experiment? The condition for the maximums is actually the same in both cases.

From this equation you will be able to find λ
 

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