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The formula for refraction at a curved transparent surface is given below in usual notation...

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The formula for refraction at a curved transparent surface is given below in usual notation i R iii Specify the a meaning of each symbol in the formula b sign convention you use 5 marks ii A small goldfish is viewed through a spherical glass fishbowl of diameter 30 cm filled with water refractive index 4 3 Use the formula given above to determine the apparent position and magnification of the fish s eye when its actual position is a at the center of the bowl b halfway between the center and the glass nearer to the eye along the line of sight Assume that the glass is thin enough so that its effect on the refraction may be neglected 10 marks Illustrate the image location in each of the cases a and b above with a clearly labeled ray diagram using a rough scale Are the images real or virtual 5 marks

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