Light from a very tiny lightbulb passes through a hole of diameter 0.10 m in a d

Question

Light from a very tiny lightbulb passes through a hole of diameter 0.10 m in a dark screen that is d1 = 2.7 m away (see the following figure). Assume the light travels as ideal rays as it passes from the bulb, through the hole, and onto a second screen on the far right in the figure. If the light rays illuminate a spot of diameter d2 = 0.68 m on the second screen, what is the spacing between the two screens?
L = m

Light from a very tiny light bulb passes through a hole of diameter 0.10 m in a dark screen that is d1 = 2.7 m away (see the following figure). Assume the light travels as ideal rays as it passes from the bulb, through the hole, and onto a second screen on the far right in the figure. If the light rays illuminate a spot of diameter d2 = 0.68 m on the second screen, what is the spacing between the two screens? L =

Explanation / Answer

let the angle between the dotted line and the light ray be theta

then tan theta = r/D1 = radius of hole D1 = 0.5 D2/(D1 +L)   since the angle is same (it forms 2 similar triangles)

L = 4.1 meters

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