Young's Experiment - (problem with equation)

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The discussion revolves around the equation for Young's double slit experiment, specifically addressing the validity of calculating wavelength using the formula λ = (d sin θ)/m when m = 0. It is clarified that when m = 0, θ must equal 0, which corresponds to the central maximum. However, the central maximum's position does not provide a means to determine the wavelength, as it is always at a 0 angle regardless of the wavelength. Thus, while the equation is mathematically valid, it does not yield useful information for m = 0. The conversation emphasizes the limitations of using the central maximum to find wavelength in this context.
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So my book has the following expression for Young's double slit experiment.

(maxima - bright fringes) d \sin \theta = m \lambda
for m = 0, \, 1 \, 2 \, \ldots.So what if you solve this for wavelength.

\lambda = \frac{d \sin \theta}{m}

How is this valid when m = 0

Is this because if m = 0, \theta HAS to equal 0?

by the way
d is the distance between the slits
theta is the angle from the central axis
lambda is the wavelength
m is the index of where the maxima occur
 
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FrogPad said:
So my book has the following expression for Young's double slit experiment.

(maxima - bright fringes) d \sin \theta = m \lambda
for m = 0, \, 1 \, 2 \, \ldots.So what if you solve this for wavelength.

\lambda = \frac{d \sin \theta}{m}

How is this valid when m = 0

Is this because if m = 0, \theta HAS to equal 0?
The first maximum is always at 0 angle regardless of wavelength. So you can't determine the wavelength from the position of the central maximum.

AM
 
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