How many uncoated thin lenses in an optical instrument would reduce the amount o

Question

How many uncoated thin lenses in an optical instrument would reduce the amount of light passing through the instrument to 60 % or less? (Assume that approximately 4% of the light is reflected at each surface.)

MasteringPhysics: CH24-Untimed Quiz-Google Chrome https://session.masteringphysics.com/myct/itemView?assignmentProblemID=58061761 PHY212 - General Physics 2 Help | Close Resources « previous | 6 of 15 next >» tem 6 Part A How many uncoated thin lenses in an optical instrument would reduce the amount of light passing through the instrument to 60 % or less? Assume that approximately 49 of the light is reflected at each surface. Express your answer as an integer. Submit My Answers Give Up Incorrect; One attempt remaining; Try Again Continue

Explanation / Answer

Absorbed light = 100%- 4%

= 0.96

Light reduction = 0.6 or less

Let n be the number of surfaces

Therefore, 0.6 > = 0.96^n

solving for n

log 0.6 >= n log 0.96

n = log 0.6 /log 0.96

= 12.513
Gving n=13 surfaces.
So

13/2 = 6.5 == 7 uncoated thin lenses would do it.

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