Optics Question 861

Question: In YSDE, both slits are covered by transparent slab. Upper slit is covered by slab of R.I. 1.5 and thickness t and lower is covered by R.I. $ \frac{4}{3} $ and thickness 2t, then central maxima

Options:

A) shifts in +ve y-axis direction

B) shifts in -ve y-axis direction

C) remains at same position

D) may shift in upward or downward depending upon wavelength of light

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Answer:

Correct Answer: B

Solution:

[b] $ \Delta x _{1}=({\mu _{1}}-1)t=(1.5-1)t=0.5t $

and $ \Delta x _{2}=({\mu _{2}}-1)\times 2t=( \frac{4}{3}-1 )\times 2t=\frac{2}{3}t $

As $ \Delta x _{2}>\Delta x _{1} $ , so shift will be along -ve v-axis.



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