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For a hemispherical glass lens R1=9 cm, R2→∞, and n=1.5. (i) Use the matrix method to...

For a hemispherical glass lens R1=9 cm, R2→∞, and n=1.5. (i) Use the matrix method to determine the focal length and the position of the principal points of the lens. (ii) For an object of height 0.5 cm placed at a distance 12 cm from the first vertex point of the lens, determine the position of the image from the second vertex point and its height. (iii) Sketch a ray diagram showing the positions of the principal points, focal distances and the position of the image.

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