The headlights of an oncoming car are 1.2 m apart. What is the maximum distance

Question

The headlights of an oncoming car are 1.2 m apart. What is the maximum distance from the car at which you can resolve the lights as two sources if the diameter of the pupil of your eye is 5.0 mm and the wavelength of the light is 555 nm?

PLEASE GIVE EXPLANATION NOT JUST ANSWER! Thank you guys!

B. 5.4 km

C. 13 km

D. 4.4 km

E. 8.9 km

The headlights of an oncoming car are 1.2 m apart. What is the maximum distance from the car at which you can resolve the lights as two sources if the diameter of the pupil of your eye is 5.0 mm and the wavelength of the light is 555 nm?

PLEASE GIVE EXPLANATION NOT JUST ANSWER! Thank you guys!

B. 5.4 km

C. 13 km

D. 4.4 km

E. 8.9 km

Explanation / Answer

In interfreence or diffraction pattern

the needed equation is Y = mLR/d---------------1

and d sin theta = mL--------------------2

where L = wavelgnth

m = order = 1,2,3,4, ......... for brigth bands

m = 1.5, 2.5, 3.5, 4.5, ......for dark bands

R is the distance from slit to screen

Y = disatnce from central spot to nth order fringe or fringe width

here we apply

R = Yd/mL

R = 1.2* 5mm/(1.22* 555nm)

R = 8.86 Km o r 8.9 km option E it is

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