Consider an object and a screen at a fixed distance d = 50 cm from each other.  For the convex lens of focal distance f = 10 cm, demonstrate mathematically that there are two solutions if and only if do + di = d is larger than 4 times the focal distance f of the lens. Make a diagram.

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Chapter26: Image Formation By Mirrors And Lenses
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Problem 2:  One lens and fixed distance

Consider an object and a screen at a fixed distance d = 50 cm from each other.  For the convex lens of focal distance f = 10 cm, demonstrate mathematically that there are two solutions if and only if do + di = d is larger than 4 times the focal distance f of the lens.

Make a diagram.

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