How to Derive the Formula for Separation in Fresnel's Biprism Experiment?

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In summary, Fresnel's biprism formula for "d" is a mathematical formula used to calculate the distance between the light source and the biprism. It is important because it allows for accurate measurement of light wavelength. The variables in the formula are d, D, d', and λ. It is derived from Snell's law and the principle of interference. However, it has limitations such as assuming point sources and only being accurate for small angles of incidence, and not accounting for diffraction effects.
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Homework Statement



Show that the separation of the two coherent sources is given by d=2aA(n-1) where n is the refactive index of prism.

Homework Equations



from youngs double slit experiment y=Rm[itex]\lambda[/itex]/d

The Attempt at a Solution



i have no idea how to derive this formula. I've seen it many times before but nowhere shows the derivation. i can see youngs experiment is similar, but fail to see a connection?

help!

there should be a picture attached to this post. hopefully!
 

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Try this URL:http://discovery.bits-pilani.ac.in/~raj/fresnel-biprism.pdf

ehild
 
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FAQ: How to Derive the Formula for Separation in Fresnel's Biprism Experiment?

What is Fresnel's biprism formula for "d"?

Fresnel's biprism formula for "d" is a mathematical formula that calculates the distance between the light source and the biprism, which is a prism with two parallel faces used to split light waves.

Why is Fresnel's biprism formula important?

Fresnel's biprism formula is important because it allows scientists to accurately measure the wavelength of light, which is crucial in many fields of science such as optics, spectroscopy, and astronomy.

What are the variables in Fresnel's biprism formula for "d"?

The variables in Fresnel's biprism formula for "d" are the distance between the biprism and the light source (d), the distance between the biprism and the screen (D), the distance between the two virtual images created by the biprism (d'), and the wavelength of light (λ).

How is Fresnel's biprism formula derived?

Fresnel's biprism formula is derived from Snell's law and the principle of interference of light waves. It involves calculating the path difference between the two virtual images created by the biprism and equating it to a multiple of the wavelength of light.

Are there any limitations to Fresnel's biprism formula?

Yes, there are limitations to Fresnel's biprism formula. It assumes that the light source and the biprism are point sources, and it is only accurate for small angles of incidence. Additionally, it does not take into account the effects of diffraction, which can affect the accuracy of the measurement.

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