Experiment 1: Law of Reflection Results/Observations Our experiment confirmed the Law of Reflection. As the incident angle (i) increased, the reflected angle (Qr) also increased proportionally, showing a linear relationship. This aligns with the principle of specular reflection, where light reflects at equal angles relative to the surface normal. Laser and Mirror Reflection Data Incident Angle 0₁ (degrees) Reflected Angle Or (degrees) 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 2 9 14 19 23 28 33 40 44 49 55 59 63 68 74 79

Experiment 1: Law of Reflection Results/Observations Our experiment confirmed the Law of Reflection. As the incident angle (i) increased, the reflected angle (Qr) also increased proportionally, showing a linear relationship. This aligns with the principle of specular reflection, where light reflects at equal angles relative to the surface normal. Laser and Mirror Reflection Data Incident Angle 0₁ (degrees) Reflected Angle Or (degrees) 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 2 9 14 19 23 28 33 40 44 49 55 59 63 68 74 79

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter1: The Nature Of Light

Section: Chapter Questions

Problem 51P: You can determine the index of refraction of a substance by determining its critical angle. (a) What...

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Incident white light in air (nair=1) encounters a a piece of plastic as shown in the figure below. The index of refraction for blue light is ng=1.36 and the index of refraction for red light is nr=1.28. After the light passes through the fırst boundary, the blue light undergoes total internal reflection when it encounters the plastic to air boundary from the inside at exactly the critical angle. The red light gets refracted when it encounters the plastic to air boundary from the inside. a) Draw and label a qualitative ray diagram for the light rays for the whole process. b) Find the incident angle of the white light. (you have to really think about what is incident and what is transmitted) c) Using the result from (b), find the angle the red light exits the plastic (no additional points will be taken off if your first result is incorrect). n. 'air
Home work 1: Beam of X- rays of A = 0.842A° is incident on a crystal at a grazing angle of 8.35 when the first Bragg's reflection occurs calculate the glancing angle for third order reflection.
Use the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO3) is 0.3 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0692 nm. 0₁ 02
Find the wavelength (in nm) in a material (n=1.689)for a light with a wavelength in air of 759 nm. Round your answer to 2 decimal places.
An x-ray was used to examine a sample of chromium having a BCC crystal structure.Using x-rays having a wavelength of 0.1682 nm, a diffractometer is used. The distorting (010) aircraft is the plane. Chromium has an atomic radius of 0.125 nm. A)Compute the interplanar spacing and Calculate the diffraction angle. Assume second-order of diffraction, n = 2.
1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be aphase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? Howcan you tell, without doing the experiment, whether or not there will be a phase shift in eitherbeam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses(hint: it’s thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nmis used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and35.18, but your answer to part a should be helpful in deciding which set.
A beam of monochromatic light falls normally onto the surface of a plane-parallel plate of thickness ?. The absorption coefficientof the substance the plate is made of varies linearly along the normal toits surface from k1to k2. The coefficient of reflection at each surfaceis equal to? Neglecting secondary reflection find the transmissioncoefficient of such plate
Q1: If the refractive indexes of the mica plate in the direction of the slow axis and the fast axis are as follows: n =1.5977, n1= 1.5936, Find the thickness of this plate needed to make the optical path difference between the two rays passing through the plate equal to a quarter of the wavelength if light of its wavelength was passed through A = 5890 nm.
When light is incident normally on the interface between two transparent optical media, the intensity of the reflected light is given by the expression S1=(n2n1n2+n1)2S1 In this equation, S1 represents the average magnitude of the Poynting vector in the incident light (the incident intensity), S1 is the reflected intensity, and n1 and n2 are the refractive indices of the two media. (a) What fraction of the incident intensity is reflected for 589-nm light normally incident on an interface between air and crown glass? (b) Does it matter in part (a) whether the light is in the air or in the glass as it strikes the interface?
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 3.00-mm-diameter pupil, assuming an average wavelength of 550 nm? (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 1.30 m apart? (c) What is the distance between two just-resolvable points held at an arm’s length (0.800 m) from your eye? (d) How does your answer to (c) compare to details you normally observe in everyday circumstances?
The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which X-ray diffraction can be observed, if X-rays of wavelength 0.085 nm are used?
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?