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The ARH Caroer Contar |Ap M Corsa: PYS 102 Intermd PRINTER VERSION BACK Chapter

ID: 2041316 • Letter: T

Question

The ARH Caroer Contar |Ap M Corsa: PYS 102 Intermd PRINTER VERSION BACK Chapter 27, Problem 35 Your answer is partially correct. Try again. Late one night on a highway, a car speeds by you and fades into the distance. Under these conditions the pupils of your eyes have diameters of about 6.7 mm. The taillights of this car are separated by a distance of 1.1 m and emit red light (wavelength . 600 nm in vacuum). How far way from you is this car when its taillights appear to merge into a single spot of light because of the effects of diffraction? 9.90E4 the tolerance is +-2% Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT Question Attempts: 2 of 5 used SAVE FOR LATER SUBMIT AN ??q" da?..sane

Explanation / Answer

Use rayleighs criterion for resolution

   1.22 ? = D sin?    

where ? is small and can be approximated as s / L, where s is the separation and L is the distance to the tail lights

1.22 ? = D s / L

or    L = D s / 1.22 ? = 0.0067 * 1.1 / 1.22 * 680 x 10-9 = 8883.80 m