Calculate the wavelength of the light used, Physics

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Q. A Plano-convex lens of radius 3 m is placed on a flat glass plate and is illuminated by monochromatic light. The radius of the 8th dark ring is 3.6 mm. Calculate the wavelength of the light used.

Data : R = 3m ; n = 8 ; r8 = 3.6 mm = 3.6 × 10-3 m ; λ = ?

Solution : rn = √ nRλ

rn2= nRλ

λ = rn2 / n R = (3.6 X 10-3 )2/ 8 X 3

= 5400 × 10-10 m (or) 5400 A0


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