Question #202091

Interference fringes are produced by a beam of monochromatic light incident normally on a wedge shaped film of refractive index 1.5. The angle of the wedge is 15 seconds of an arc and the two successive dark fringes are 0.4 cm apart. Calculate the wavelength of light.


1
Expert's answer
2021-06-07T14:16:22-0400

 path difference =n.λ= n . \lambda = dsinθd sin \theta

where nn  is its index of refraction

\therefore n =1.5

path diiference =0.4cm(0.4=0.4 cm (0.4 ×10×10 -2m)m)


λ\lambda =?=?

\therefore path difference =n.λ=n.\lambda


1010 -2×0.4=(1.5×λ× 0.4 = (1.5 × \lambda ))


λ=(0.4×10\lambda = ( 0.4 × 10 -2)) ÷1.5÷ 1.5

answer λ=2.667×10\lambda = 2. 667 ×10 -3 mm

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