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Assume that the lenses in questions 1) and 2) are made of a material with an index of refraction n=1.5 and are submerged in a media with an index of refraction nm=3.0. a) Calculate the radius. Assume both radii are the same. [10 pts] b) What are the focal distances of the converging and the diverging lenses if they are now submerged in a media with an index of refraction nm=3.0? [5 pts] c) Explain why the converging lens became diverging and vice versa in that media. [5 pts]

Two lenses with fi=10cm and f2=20cm are placed a distance 25cm apart from each other. A 10cm height object is placed 30cm from the first lens. a) Where is the image through both lenses found and how height is the image? [5 pts] b) For the object in part 4a) above, what are the characteristics of the image, real or virtual, larger, smaller or of the same size, straight up or inverted? [5 pts]