Find these 2 object distances by using the thin lens formula A converging thin l

Question

Find these 2 object distances by using the thin lens formula

A converging thin lens of focal length f = 4 cm is placed between an object and a screen that are separated by 33 cm. There are two values of the object distance o (distance between the object and the lens) that produce sharp (real) images on the screen. Find these two object distances by using the thin - lens formula 1 / 0 + 1 / i = 1 / f and the condition o + i = 33 cm that constrains the object - to - image distance to be fixed at 33 cm. The shorter of the two object distances is: [Num] [Units] The longer of the two object distances is: [Num] [Units]

Explanation / Answer

so then i = 33 - o

so

1/o + 1/(33-o) = 1/4

o=4.66 cm

or

o = 28.34 cm

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