What Is the Ratio of y2/y1 in a Single Slit Experiment?

[jh24628]

i really don't know where to start with this problem

Consider the setup of a single slit experiment

The first minimum for 440 nm light is at y1.
The first minimum for 529 nm light is at y2.

what is the ratio of y2/y1?

i know that the distance between two max is
(wavelength*dis between the slit and the screen)/(dis slit separation)

 

[jh24628]

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[Doc Al]

i know that the distance between two max is
(wavelength*dis between the slit and the screen)/(dis slit separation)

Careful. For a single slit experiment, the position of the first minimum is given by:
y = \lambda \frac{D}{a}
where D = distance to screen; a = width of the slit