The converging lens with a focal length of 5 cm is

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The converging lens with a focal length of 5 cm is inserted into a circular hole of radius 3 cm in the board. A point light source is located on the main optical axis of the lens at a distance of 15 cm from it. On the other side of the board placed a sheet of paper on which is obtained a clear image of the source. What is the radius of the circle of light on a sheet of paper, if the lens is removed from the hole?

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Task 40810. Detailed solution with a short recording conditions, laws and formulas used in the decision, the withdrawal of the calculation formula and the answer.
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