13] Treat each of your eyes as a circular aperture of diameter 3.5 mm. Light of wavelength 650 nm is used to view two point-sources that are 894 m distant from you. How far apart must these two point-sources be if they are to be just resolved by your eye? Assume that the resolution is diffraction limited and use Rayleigh criterion. Sin₁ = 1₁

13] Treat each of your eyes as a circular aperture of diameter 3.5 mm. Light of wavelength 650 nm is used to view two point-sources that are 894 m distant from you. How far apart must these two point-sources be if they are to be just resolved by your eye? Assume that the resolution is diffraction limited and use Rayleigh criterion. Sin₁ = 1₁

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Two stars have an angular separation of 7.45 x 10-8 rad when viewed in the night sky from Earth. Determine the minimum diameter of a telescope's circular aperture if the two stars are to be angularly resolved at a wavelength of 570 nm. m
i) An optical fibre core and cladding refractive indices are 1.45 and 1.44 respectively. Compute its numerical aperture. ii) Two waves, yı = 6 sin (533.8 t –942 x –11.38) and y2 = 8 sin (533.8t –942 x -20.8) interfere. Estimate (i) the frequency of each wave, (ii) the wavelength of each wave, (iii) the speed of each wave, (iv) the resultant intensity. (Note: All the quantities are measured in SI units).
19) PLEASE BE CLEAR ON YOUR RESPONSE AND ACCURACY, THANKS.
A diffraction grating with n = 3.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.38 degrees, and the first light has wavelength λ1 = 629 nm. a) Find θ1 using n and λ1 in radians. b) Find θ2 in radians.
1. The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 2.8 mm-diameter pupil, assuming an average wavelength of 500 nm? e = rads (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 1.7 m apart? km r= (c) What is the distance between two just-resolvable points held at an arm's length (0.9 m) from your eye? mm
A beam of wavelength 500 nm falls on YDSE. If the width of the slit is 0.3mm, find number of maxima in -30 <0 <0 where e is angular position. 149 150 599 300
1. The limit to the eye's acuity is actually related to diffraction by the pupil. (a) What is the angle between two just-resolvable points of light for a 3.1 mm-diameter pupil, assuming an average wavelength of 570 nm? rads (b) Take your result to be the practical limit for the eye. What is the greatest possible distance a car can be from you if you can resolve its two headlights, given they are 0.8 m apart? r= km (c) What is the distance between two just-resolvable points held at an arm's length (1 m) from your eye? mm S=
Problem 3: When laser light is passed through two narrow slits separated by 148 µm, an interference pattern is observed on a screen 1.67 m away. The distance between the central spot and the first-order constructive interference is found to be 5.3 mm. λ = Part (a) Find the wavelength of the laser light, in nanometers. || sin() cotan() atan() cosh() cos() asin() acotan() tanh() O Degrees Submit tan() acos() E ^^^ sinh() cotanh() Radians Hint () 7 BE * Feedback ∞52 63 1 8 9 4 5 + 0 END Vo BACKSPACE DEL CLEAR HOME I give up! Part (b) At what angle, in degrees, from the central spot is the second-order constructive interference formed?
Suppose that two points are separated by 2.0 cm. If they are viewed by an eye with a pupil opening of 5.0 mm, what distance from the viewer puts them at the Rayleigh limit of resolution? Assume a light wavelength of 500 nm.
need to check this,,
A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle between their first maxima is Δθ ≡ θ1 - θ2 = 0.44 degrees, and the first light has wavelength λ1 = 618 nm. Part (a) Find θ1 using n and λ1 in radians. Part (b) Find θ2 in radians. Part (c) Find the value of the wavelength of the second color λ2 in nm.