p37_015 - D is the separation of the headlights, then D = L...

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15. (a) We use the Rayleigh criteria. Thus, the angular separation (in radians) of the sources must be at least θ R =1 . 22 λ/d ,where λ is the wavelength and d is the diameter of the aperture. For the headlights of this problem, θ R = 1 . 22(550 × 10 9 m) 5 . 0 × 10 3 m =1 . 34 × 10 4 rad . (b) If L is the distance from the headlights to the eye when the headlights are just resolvable and
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Unformatted text preview: D is the separation of the headlights, then D = L R , where the small angle approximation is made. This is valid for R in radians. Thus, L = D R = 1 . 4 m 1 . 34 10 4 rad = 1 . 10 4 m = 10 km ....
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