Light of wavelength \( \lambda=500 \mathrm{~nm} \) falls on two narrow slits placed a distance \...

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Light of wavelength \( \lambda=500 \mathrm{~nm} \) falls on two narrow slits placed a distance \( d=50 \times 10^{-4} \mathrm{~cm} \) apart, at an angle \( \phi=30^{\circ} \) relative to the slits as shown in figure. On the lower slit a transparent slab of thickness \( 0.1 \mathrm{~mm} \) and refractive index \( \frac{3}{2} \) is placed. The interference pattern is observed at a distance \( D=2 \mathrm{~m} \) from the slits. Then, calculate
(a) position of the central maxima.
(b) the order of maxima at point \( C \) of screen.
(c) how many fringes will pass \( C \), if we remove the transparent slab from the lower slit?
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