In the figure shown in YDSE, a parallel beam of light is incident o...

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In the figure shown in YDSE, a parallel beam of light is incident on the slit from a medium of refractive index \( n_{1} \). The wavelength of light in this medium is \( \lambda_{1} \). A transparent slab of thickness ' \( t \) ' and refractive index \( n_{3} \) is put infront of one slit. The medium between the screen and the plane of the slits is \( \mathrm{n}_{2} \). The phase difference between the light waves reaching point ' \( \mathrm{O} \) ' (symmetrical, relative to the slits) is :
\( \mathrm{P} \)
(A) \( \frac{2 \pi}{n_{1} \lambda_{1}}\left(\mathrm{n}_{3}-\mathrm{n}_{2}\right) \mathrm{t} \)
(B) \( \frac{2 \pi}{\lambda_{1}}\left(\mathrm{n}_{3}-\mathrm{n}_{2}\right) \mathrm{t} \)
(C) \( \frac{2 \pi \mathrm{n}_{1}}{\mathrm{n}_{2} \lambda_{1}}\left(\frac{\mathrm{n}_{3}}{\mathrm{n}_{2}}-1\right) \mathrm{t} \)
(D) \( \frac{2 \pi n_{1}}{\lambda_{1}}\left(n_{3}-n_{1}\right) t \)
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