Find the radius of a star image formed on the retina of the eye if the aperture diameter (the pupil)at night is 0.70 cm and the length of the eye is 3.1 cm.Assume the wavelength of starlight in the eye is 500 nm.(1 nm = 10^-9m) A)2.7 x 10^-4 m B)5.4 x 10^-4 m C)3.1 x 10^-5 m D)2.7 x 10^-6 m

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Quizplus · Accepted Answer

The radius of the star image can be calculated using the formula for the radius of the Airy disk: r = 1.22 * (wavelength * focal length) / aperture diameter. Substituting the given values (wavelength = 500 nm = 500 x 10^-9 m, focal length = 3.1 cm = 0.031 m, aperture diameter = 0.70 cm = 0.007 m), we find r ≈ 2.7 x 10^-6 m.

Find the Radius of a Star Image Formed on the Retina