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...focal ray, and the image due to the right-hand surface. This is then the image for the combination of surfaces. For the combination of the two surfaces: Magnitude of the image distance from right-hand interface = _____mm The final image is to the (left) (right) of the right-hand interface. (Circle one.) Magnitude of the final linear magnification = _____ The final image is (real) (virtual). (Circle one.)

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Convex and Concave Refractive Surfaces 2 An interface between two lossless isotropic dielectric regions is the left—hand
spherical convex surface shown in the diagram. This left—hand spherical surface has a
radius of curvature of 50 mm. The center of curvature is located to the right of the sur—
face. The index of refraction of the left—most region is 1.0. The index of refraction to the
right of this surface is 1.5. A second interface between two dielectric regions is the right—
hand spherical concave surface shown in the diagram. This right—hand spherical surface
is 250mm to the right of the leftrhand surface. It has a radius of curvature of 75 mm.
The center of curvature is located to the left of this surface. The index of refraction of
the right—most region is 1.0. The index of refraction to the left of this surface is 1.5. A
vertical planar object is located 150 mm to the left of the left—hand refractive surface as
shown. Light is propagating from left to right. Calculate, showing all work, the location of the image (measured from right—hand surface) and the linear magnification of the image due to both surfaces. Express your answers accurater to four significant figures. Specify whether the image is left or right
of the righthand interface. Specify whether it is a real or virtual image. Put your final
answers in the spaces provided. To accomplish this, calculate the image due to the leftr hand surface alone. Then, take the image due to the left—hand surface and use it as the object for the right—hand surface. Using a distance between tick marks of 50 mm, draw on the above diagram, the object, the parallel ray, the chief ray, the focal ray, and the image due to the left—hand
surface alone. Further, using the image from the leftrhand surface as the object for the right—
hand surface, draw on the above diagram, the object, the parallel ray, the chief ray, the

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