A film of soapy water (n = 1.33) on top of a sheet of Plexiglas (n = 1.51) has a thickness of 176 nm. What wavelength is most strongly reflected if it is illuminated perpendicular to its surface? (This is the apparent color of the soapy film.) 77.48 × What is thin film interference? How many phase shifts are there? What is the condition for destructive interference? nm Additional Materials Reading
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- 1. Imagine a triple-slit "grating", where the distance to the screen is much larger than the distance between the slits. By using phasors, show that the intensity of the interference pattern is given by I = I(1 + 4 cos & + 4 cos² ø). (Hint: Recall the intensity of fringe pattern in Young's two-slit interference experiment.). A beam of white light goes from air into water at an incident angle of 75.0°. At what angles are the red (660 nm) and violet (410 nm) parts of the light refracted? Are the angles going to be different if the light strikes a crown glass slab, instead of water? Explain.The figure below shows two unknown devices, each of which separates (disperses) white light into its spectrum. The positions of the two wavelengths are shown on each screen. Two optical devices that can produce cases A and B (respectively) are Case A ? Case B ? 2.700 nm 2400 nm 2400 nm 2.700 nm OA. a concave mirror and a convex lens B. a ray box and a prism C. a transmission grating and a prism OD. a transmission grating and a ray box
- 3 Charged Closed Wire Consider a thin closed wire with the radius R localized at the origin on the xy-plane, which is charged uniformly with the total charge Q. (i) What is the charge density p in this problem? (ii) Calculate the electric field along the z axis? (Hint: First, consider an infinitessimal piece of the charge.)A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i+ 3xyj + 3y2k. Use Stokes' Theorem to find the work done.5. Consider a coaxial cable which is an (infinitely) long wire of radius a, with given current flowing uniformly up it (so J(t) = I(t)/лa² goes uniformly through the wire). At the outside edge (r=a), there is an infinitesimally thin insulator, and just outside that, an infinitesimally thin sheath that returns all the current, basically a surface current going down the opposite direction carrying a total -I(t) back down. Figure out the B field everywhere in space (direction and magnitude) in terms of givens, and then find the self-inductance per length of this cable. Assume I(t) changes slowly in time, so we can use our usual quasi-static ideas. There are several ways to proceed. You might start from =LI, but this turns out to be tricky here, since the current is not confined to a single path! It is best to think about the total magnetic energy, W, stored by the magnetic field, and use our usual relation between energy and current: WL I²/2.
- In a maximal flow problem, a.the flow out of a node is less than the flow into the node. b.the number of arcs entering a node is equal to the number of arcs exiting the node. c.the objective is to determine the maximum amount of flow that can enter and exit a network system in a given period of time. d.None of these choices is correct.= The figure shows a horizontal beam of mass M = 59.1 kg and length L = 6.4 m supported at its left end by a frictionless pin and at the other end by an ideal cable attached to wall h 4 m above the beam. A mass m = 22.1 kg is suspended from the beam a distance d = 2 m from the wall. Find the tension in the cable. T h d→ m M L = _ N Report your numerical answer below, assuming three significant figures. Remember to include a as necessary.What does the Ricardo-Barro effect say about the crowding-out effect? A. There is no crowding-out effect. B. The crowding-out effect will be large. C. The crowding-out effect will be small. D. It will be a crowding-in effect. Thanks!!!
- An Optical Spectrometer. You and your team are tasked with characterizing an equilateral, triangular prism to be used in an optical spectrometer. An optical spectrometer contains a dispersive element (in this case, the prism) that separates an incoming beam of light into its constituent wavelengths (or colors), and a photocell that measures the intensity of each color (wavelength) by measuring the intensity of the dispersed light as a function of angle. The index of refraction of the prism material you are using depends on the wavelength as n(A)=(1.111 x 104 nm¹) A (nm) + 1.609 An incident beam of white light impinges on the surface (see drawing) at an angle of 42.2 degrees below the normal. The prism is in air (n = 1.000). Normal Ꮎ Red (660 nm) Violet (410 nm) (a) Relative to the prism base (i.e., the horizontal in the drawing), at what angle does red light (A-660.0 nm) emerge on the opposite side? (b) Relative to the prism base (i.e., the horizontal in the drawing), at what angle…A photon moving in the +x-direction, scatters off a free stationary electron. The wavelength of the incident photon is 0.0310 nm. After the collision, the electron moves at an angle a below the +x- axis, while the photon moves at an angle = 81.3° above the +x-axis. (For the purpose of this exercise, assume that the electron is traveling slow enough that the non-relativistic relationship between momentum and velocity can be used.) (a) What is the angle a (in degrees)? 47.21 X What is the shift in wavelength of the photon due to the scattering? How can you use momentum conservation in the horizontal and vertical directions to determine the angle? counterclockwise from the +x-axis (b) Determine the speed of the electron (h m/s). m/sA desired (standard) temperature is set by adjusting a lever or wheel on the thermostat. A mechanism such as a bimetallic strip or bellows converts the actual temperature surrounding the thermostat into physical movement. When the variance between desired and actual temperature exceeds some design maximum, sensor movement creates an electrical contact that communicates a signal to the correcting entity, in this case the control of a furnace or air conditioner, and the variance is automatically corrected. The output of a system can be measured and the variance between measured and desired output is used to adjust the system. Which one of the following is the correct perspective of the timing control for an engineer? A O Concurrent control В. Feedforward C. O Feedback control Which statement is NOT true about McGregor motivation (leadership) 'Theory X'? А. Subordinates must be persuaded, rewarded, and punished by management В. Develop countries apply this theory for managing industry…