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Question: In young's double slit experiment, let A and B be the two slits. A thin films of thickness t and ref...

In young's double slit experiment, let A and B be the two slits. A thin films of thickness t and refractive index m is placed in front of A. Let b = fringe width. The central maxima will shift by-

A

t (m _ 1) βλ\frac{\beta}{\lambda}

B

mt βλ\frac{\beta}{\lambda}

C

tβμλ\frac{t\beta}{\mu\lambda}

D

None of these

Answer

t (m _ 1) βλ\frac{\beta}{\lambda}

Explanation

Solution

y0 = Dd\frac{D}{d} (m _ 1) t & b = Dλd\frac{D\lambda}{d}

\ y0 = βλ\frac{\beta}{\lambda} (m _ 1) t