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The headlights on a certain car are measured to be1.9 m apart. The diameter of t

ID: 1677950 • Letter: T

Question

The headlights on a certain car are measured to be1.9 m apart. The diameter of the pupil ina human eye is 2.5 mm. What is the furthest distance at which ahuman eye could clearly see the headlights as 2 seperate lights?Use a wavelength of 562 nm/wave. ??? m The headlights on a certain car are measured to be1.9 m apart. The diameter of the pupil ina human eye is 2.5 mm. What is the furthest distance at which ahuman eye could clearly see the headlights as 2 seperate lights?Use a wavelength of 562 nm/wave. ??? m

Explanation / Answer

We have for the two lights to be resolved sin =1.22/d Also tan = x/L for small angles sin ˜ tan or 1.22/d = x/L then L = xd/1.22      = 1.9m * 2.5*10^-3m/(1.22*562*10^-9m)      = 6927.83 m