Question: For Newton's ring, prove that diameters of nth dark ring is directly proportional to the square root of natural number.

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Question: For Newton's ring, prove that diameters of nth dark ring is directly proportional to the square root of natural number.

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Let POQ be the plano-convex lens placed on a plane glass plate AB. Let R be the radius of curvature of the lens surface in contact with the plate.

Let p be the radius of a Newton's ring corresponding to the constant film thickness **'t'**. The path difference between the two interfering rays in the reflected system is

$$ 2\mu \ cos(r + \theta) + \frac{\lambda}{2} $$

$\lambda = $ Wavelength of incident light

$\mu = 1 $ for air film

$r = 0 $ for normal incidence

$\theta = 0$ for large R

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