Question #43728

A point source $S$ of monochromatic light ($\lambda = 600 \text{ nm}$) is placed on the principal axis of an equiconvex lens at a distance of $18 \text{ cm}$. The lens has a refractive index $\mu = 1.5$, radius of curvature $R = 24 \text{ cm}$ for both surfaces, and its back surface is silvered. The lens has a circular aperture of diameter $a = 1.5 \text{ mm}$. The light reflected from the silvered lens forms an image $S'$ which acts as the source for a Young's Double Slit Experiment. The double slit plane is placed at a distance of $29 \text{ cm}$ from the lens (on the same side as $S$). The slit separation is $d = 8.0 \text{ mm}$. A screen is placed at a distance $D_2 = 1.0 \text{ m}$ from the double slit. If the source $S$ is given a small transverse displacement $y_0 = 1.2 \text{ mm}$ perpendicular to the principal axis, what is the observable shift of the central maximum on the screen?