Two candles are lit and separated by 0.10 m. If the diameterof the pupil of an o

Question

Two candles are lit and separated by 0.10 m. If the diameterof the pupil of an observer's eye is 3.5 mm, what is the maximumdistance that the candles can be away from the observer and be seenas two light sources? Use 545 nm for the wavelength of light in theeye.

a. 170 m
b. 530 m
c. 340 m
d. 850 m
e. 680 m Two candles are lit and separated by 0.10 m. If the diameterof the pupil of an observer's eye is 3.5 mm, what is the maximumdistance that the candles can be away from the observer and be seenas two light sources? Use 545 nm for the wavelength of light in theeye. 170 m 530 m 340 m 850 m 680 m

Explanation / Answer

separation x = 0.10 m.
the diameter of the pupil of an observer's eye d = 3.5 mm                                                                         = 3.5 * 10 ^ -3 m wavelength = 545 nm                    = 545 * 10 ^ -9 m we know   x = 1.22D / d from this  the maximum distance that the candles canbe away from the observer and be seen as two light sources is      D = x d / 1.22          = 5.263* 10 ^ 2 m         = 526.3m         ~ 530 m

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