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A thin mica sheet of thickness $2 \times 10^{- 6}$ m and refractive index ( $μ$ = 1.5) is introduced in the path of the first wave. The wavelength of the wave used is 5000 $A^{O}$ . The central bright maximum will shift

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2 fringes upward

2 fringes downward

10 fringes upward

None of these

answer is A.

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Detailed Solution

By using shift , $Δ x = \frac{p}{λ} (μ - 1) t \Rightarrow Δ x = \frac{β}{5000 \times 10^{- 10}} (1.5 - 1) \times 2 \times 10^{- 6} = 2 β$

Since the sheet is placed in the path of the first wave, so shift will be 2 fringes upward

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