Concept explainers
A plate of glass
Light of frequency
In this problem, ignore reflections from the top surface of the glass plate and the bottom surface of the plastic.
- Are the plates in contact at point A (where the plate appears dark) or at point B (where the plate appears bright)? Explain your reasoning.
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Tutorials in Introductory Physics
- Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 13.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 25.0°, ?2 = 41.0°, and ?3 = 57.0°. Hint: Make repeated use of Malus's law.arrow_forwardThree polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 14.5 units (arbitrary). Calculate the transmitted intensity If when ?1 = 18.0°, ?2 = 46.0°, and ?3 = 66.0°. Hint: Make repeated use of Malus's law. An arrow passes through three disks arranged in a row, with the faces of the disks perpendicular to the arrow. Before the arrow reaches the disks, it is labeled Ii. Each disk is labeled with an angle measured clockwise from the vertical. The first disk that the arrow passes through has angle ?1, the second disk has angle ?2, and the third disk has angle ?3. After the arrow exits the three disks, it is labeled If. Step 1 When linearly polarized light of incident intensity I0…arrow_forwardThree polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 14.5 units (arbitrary). Calculate the transmitted intensity If when ?1 = 18.0°, ?2 = 46.0°, and ?3 = 66.0°. Hint: Make repeated use of Malus's law. An arrow passes through three disks arranged in a row, with the faces of the disks perpendicular to the arrow. Before the arrow reaches the disks, it is labeled Ii. Each disk is labeled with an angle measured clockwise from the vertical. The first disk that the arrow passes through has angle ?1, the second disk has angle ?2, and the third disk has angle ?3. After the arrow exits the three disks, it is labeled If.arrow_forward
- A thin film of oil (no = 1.50) with varying thickness floats on water (nw = 1.33). When it is illuminated from above by white light, the reflected colors are as shown in the figure below. In air, the wavelength of yellow light is 580 nm. Why are there no reflected colors at point A? What is the oil’s thickness “t” at point B?arrow_forwardSunlight is incident normally upon a 0.86 μm thick layer of olive oil (index of refraction 1.46) floating on top of a large quantity of red wine vinegar (index ratio 1.30) . Which visible wavelength(s) are strongly reflected? The visible spectrum goes from 380 nm to 750 nm. PLEASE PLEASE sketch the diagram/situation, define all variables. Thank you!arrow_forwardFor the next two questions, as seen in the image below, two materials A (na = 1.25) and B ( 1.75) are stacked (ray angles for illustration only). A B 1. Monochromatic light hits A at an angle theta, -30° from the normal. What is the angle of refraction of light that gets to come out from B? A. None (total internal reflection occurs at B) B. 60° C. 30° D. 15° 2. Suppose we want to induce the total internal reflection of light in this system by changing either material A, B or adding another material below material B. Which of the following changes would induce total internal reflection? A. Adding a layer of material A below material B. B. Replacing material A with material B. C. Removing material B. D. None of the above.arrow_forward
- X rays of wavelength 0.0820 nm are scattered from the atoms of a crystal. The second-order maximum in the Bragg reflection occurs when the angle is 20.5°. (Figure 1) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of X-ray diffraction. Part A What is the spacing between adjacent atomic planes in the crystal? Express your answer in nanometers. ΓΙ ΑΣΦ d = Submit Previous Answers Request Answer ? nmarrow_forwardTwo point sources (S₁ and S₂) emit in light phase with wavelength 600 nm and same amplitude. A detector P is shown on the x-axis, which extends through the source S₁. the phase difference between the light arriving at P from each of the two sources is registered to the. As P is shifted indefinitely right along the x axis from x = 0. The result is displayed in the graph below, whose horizontal scale is not specified. In this situation, answer the two questions below, starting with (I) (I) How many minimum intensity are detected by P? 1, 2, 3, 4, 5, 6, 7 or 8? (II) What is the position of the penultimate minimum intensity detected by P?: (A)40,5 μm(B)21,5 μm(C)1,05 μm(D)71,5 μm(E)6,75 μmarrow_forwardI am uncertain about part d.arrow_forwardCoherent light with an unknown wavelength passes through two very narrow slits with a separation d = 0.011 mm, and the interference pattern is observed on a screen a distance of L = 3.00 m from the slits. The third-order bright fringe is formed at a angle of 9.81 °relative to the incident light. Part A - Find the wavelength of the light. The unit is nm, 1 nm = 109 m. Keep 1 digit after the decimal point. 15| ΑΣΦ xa Xb 0/0 A= 5.68 107 ● √x √x 18arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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