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what is the theoretical limit of angular resolution of your eyes for these headlights when your iris has a diameter of 4.00 4.00 mm? (express your answer in milli-radians (mrad).)

User Mick Byrne
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Final answer:

The theoretical angular resolution of the eyes with an iris diameter of 4.00 mm and using light with an average wavelength of 550 nm is approximately 0.168 milli-radians.

Step-by-step explanation:

The theoretical limit of angular resolution of your eyes can be calculated using the Rayleigh criterion formula for diffraction-limited systems which is given by θ = 1.22 λ / D, where θ is the angular resolution in radians, λ is the wavelength of light, and D is the diameter of the aperture (in this case, the pupil). Assuming an average wavelength of 550 nm (550 x 10-9 meters) and an iris diameter of 4.00 mm (4.00 x 10-3 meters), we can calculate the angular resolution.

The formula becomes θ = 1.22 x 550 x 10-9 / 4.00 x 10-3. Calculating this, we find that θ is approximately 1.68 x 10-4 radians. To express this in milli-radians (mrad), we multiply by 1,000, giving us an angular resolution of about 0.168 mrad for the eyes.

User Jesuis
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