14 In the single-slit diffraction experiment of Fig. 36-4, let the wave- length of the light be 500 nm, the slit width be 6.00 µm, and the view- ing screen be at distance D = 3.00 m. Let a y axis extend upward along the viewing screen, with its origin at the center of the diffraction pattern. Also let Ip represent the intensity of the diffracted light at point P at y 15.0 cm. (a) What is the ratio of Ip to the intensity Im at the center of the pattern? (b) Determine where point P is in the dif- fraction pattern by giving the maximum and minimum between which it lies, or the two minima between which it lies.

ds. The metal Rubidium has BCC crystal structure of hike angle of diffraction for the 32.1 set of planes occurs at 27° first order reflection when monochromatic X-radiation wavelength of 0.0721 am is used having Compute (a) The inter-planar spacing for this set of planes. (b) Atomic radius for the rubidium atom. a

The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just‑resolvable points of light for a 6.25 mm diameter pupil, assuming the average wavelength of 539 nm? angle between two points of light:   ° Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she can resolve its two headlights, given they are 1.20 m apart? greatest distance at which headlights can be distinguished:   m What is the distance between two just‑resolvable points held at an arm's length (0.750 m) from a person's eye? distance between two points 0.750 m from a person's eye:

If a soap bubble is 120 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light? Assume that the index refraction of air is na 1 (the actual value is 1.0003) and the index refraction of soap is ns = 1.35.

To make a hologram using an Argon laser (1 = 0.488 µm), the maximum angle between objective and reference beams is 0max resolution (or spatial frequency) of the holographic recording film (fo – lines per mm)? 40°. What is the requirement on the minimum 0.633 um). Assume that z, When the hologram is reconstructed using a HeNe laser (A 10cm, z, = 2z,, Zp transversal and axial magnification (M; and Ma). = 00, please compute virtual and real image locations (Fz;), the

Monochromatic coherent light of amplitude E, and angular frequency w passes through three parallel slits, each sepa- rated by a distance d from its neighbor. (a) Show that the time-averaged intensity as a function of the angle 0 is I(0) = I (2nd sin e 1+ 2 cos max (b) Explain how this expression describes both the primary and the secondary maxima. (c) Determine the ratio of the intensities of the primary and secondary maxima. Hint: See Problem 16.

The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just-resolvable points of light for a 2.75 mm diameter pupil, assuming the average wavelength of 539 nm? angle between two points of light: Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she can resolve its two headlights, given they are 1.40 m apart? greatest distance at which headlights can be distinguished: m What is the distance between two just-resolvable points held at an arm's length (0.900 m) from a person's eye? distance between two points 0.900 m from a person's eye: m

Parameters of a Dielectric Waveguide. Light of free-space wavelength X, = 0.87 um is guided by a thin planar film of width d = 2 μm and refractive index n₁ = 1.6 surrounded by a medium of refractive index n₂ = 1.4. (a) Determine the critical angle 0, and its complement c, the numerical aperture NA, and the maximum acceptance angle for light originating in air (n = 1). (b) Determine the number of TE modes. (c) Determine the bounce angle and the group velocity v of the m= 0 TE mode.

The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just-resolvable points of light for a 7.25 mm diameter pupil, assuming the average wavelength of 554 nm? 0.00534 O angle between two points of light: Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she can resolve its two headlights, given they are 1.50 m apart? greatest distance at which headlights can be distinguished: m 1.61 Incorrect What is the distance between two just-resolvable points held at an arm's length (0.900 m) from a person's eye? 0.145 distance between two points 0.900 m from a person's eye: m Incorrect