Chapter 36, Problem 073 Consider a two-dimensional square crystal structure, such as one side of the structure shown in the figure. The largest interplanar spacing of reflecting planes is the unit cell size ap. Find the (a) second largest, (b) third largest, (c) fourth largest, (d) fifth largest, and (e) sixth largest interplanar spacing. Na+ do
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- A ray of monochromatic light is traveling through air and is incident upon a block of transparent material with an index of refraction of 1.1. If the angle of incidence is 45.2 degrees with respect to the normal of the interface boundary, what's the angle of refraction in the transparent material?In the configuration shown in the figure, how much flux in watts falls on a 1-mm x 1-mm detector that is placed on-axis in the image plane? The source is 2 cm x 2 cm, Lambertian, with radiance 5 W/cm²-sr. The object distance, p, is 50 cm; the image distance, q, is 25 cm. The lens diameter is 5 cm. Neglect diffraction effects and Fresnel losses. source P Figure P2.2 9 detThe plane z = 0 separates two media: glass(nglass = 1.51 for z < 0) and water (nH20 = 1.33 for z > 0). The optical beam of a helium-cadmium (He-Cd) laser has a wavelength in vacuum of 325 nm. Consider that the laser beam propagates in the x-z plane from the glass side towards the glass/water interface at an angle of incidence of 30° (angle between the incident beam and the normal to the interface). Determine the Cartesian components of the k-vector (kx, ky, kz) for the incident reflected, and transmitted beams.
- What is the index of refraction of a refractive liquid if the angle of incidence in the AIR is 35 degrees and the angle of refraction is 14 degrees? What is the correct way to solve? (n 1 sin theta 1 =n 2 sin theta 2 ) A b c or d A n(sin 35) = (1)(sin 14); n = 2.37; B(1)(sin 35) = n(sin 14) ... n = C2.37 ( 1)(sin35 ) n (sin14) ... n = D0.42; n(sin 35)=(1)(sin 14)...n=0.42Problem 3. A 1mm filament produces a 1mm × 1mm electron beam incident on an anode disk with anode angle = 13°.The center of the focal spot is 1 m away from a detector which is centered at the center of the focal spot on the anode disk and is 50 cm wide. Determine the effective focal spot dimensions on the disk and the dimensions of the focal spot in the center of the detector, at the far anode edge of the detector, and at the far cathode edge of the detector (see figure below which is definitely not to scale). 1 m աալ 0 40 cmA fiber optic is made by cladding a thin fiber core of refractive index n₁ = 1.45 with a material of refractive index n₂ = 1.38. What is the maximum incident angle, 0, so that the light ray is totally internally reflected inside the fiber?
- A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.319 for the red end of the spectrum and 1.34 for the violet end and an apex angle of 69 degrees. If the ray has an angle of incidence of 55degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum within the prism? Measure this in degrees to 3 decimal places.A point source of light is below the surface of H20. The index of refraction of H20 is 1.33. A light ray that emrges from the source of light strikes the H2O - air interface at an angle of 37 to the normal. What statement best describe what the light ray does after striking interface? a/ Incident ray will inter fully destructively with the refrected ray, producing total internal refelction. b/ Incident ray will bounce back on the intrface and travel along the same path but in the opposite direction c/ The path of light will be reflected back into the H2O, and part will be transmitted into the air d/ All the light will be reflected back into the H2O e/ The incident ray will interfere fully destructively with the transmitted ray, producing total internal reflection. f/ The incident ray will interfere fully destructively with both reflected and transmitted rays producings total internal refelction g/ all light transmitted to airWhat is the angle of refraction of the incident light is on air (n-1) and glass (n=1.42) boundary, if the angle of refraction is 1/2 of the angle of reflection? Note: Sin(20) = 2 Sin(0)Cos(0) O 37° O 39° O 41° O 45° 43°
- A ray of light strikes the midpoint of one face of an equiangular (60°-60°-60°) glass prism (n = 1.5) at an angle of incidence of 41.8°. (a) Trace the path of the light ray through the glass, and find the angles of incidence and refraction at each surface. First surface: incidence Recheck.the.problem statement to find the angle of incidence. ° refraction US Enter a number. Ofind the angle of refraction from the angle of incidence. ° Second surface: incidence Orefraction = (b) If a small fraction of light is also reflected at each surface, find the angles of reflection at the surfaces. (first surface) reflection = ° (second surface) reflectionIn Figure, light is incident at angle 0,=40.1° on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escape into the air. If n;=1.3, n,= 1.4, n;=1.32, and ng= 1.45, what is Air the value of (a) 0g and (b) 04?A ray of white light traveling through air enters a triangular prism that has an index of refraction of 1.512 for the red end of the spectrum and 1.539 for the violet end and an apex angle of 64.1 degrees. If the ray has an angle of incidence of 49.8 degrees with respect to the normal of the interface boundary, what is the angular separation between the red and violet ends of the spectrum upon exiting the prism? Measure this in degrees to 2 decimal places.