In an experiment, the optical behaviour of a material was studied. The intensity of light, I, reflected from a crystal of lithium fluoride was measured as the angular position, 0, of a polariser placed between the light source and the crystal was changed. Table 6.13 gives data of the intensity (in arbitrary units)] as a function of angle. Assume that the function that describes the data in Table 6.13 is of the form I = (Imax – Imin) cos (26) + Imin» where Imax and Imin are constants. %3D Using the slope and intercept, calculate Imax and Imin-

Plot a graph of sin(θi) versus sin(θr) in an application such as Excel.  Execute a linear regression fit and display the fit equation as well as the correlation coefficient.

A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction?   Calculate to 1decimal.

When a ray of light strikes a nonmetallic surface, some of the light is reflected and some is refracted. Brewster’s angle is the angle of incidence for which the reflected and refracted beams are 90 degrees apart. The significance of this angle is that it leads to a reflected ray which is completely polarized.(a) Sketch the incident, reflected, and refracted rays for a situation involving Brewster’s angle. (b) Compute Brewster’s angle for water. The the index of refraction of water is 1.33 and the trigonometric identity sin(90degrees −θ) = cosθ

Chapter 25: Problem 5: In the year 1178, five monks at Canterbury Cathedral in England observed what appeared to be an asteroid colliding with the moon, causing a red glow in and around it. It is hypothesized that this event created the crater Giordano Bruno, which is right on the edge of the area we can usually see from Earth. a)  How long after the asteroid hit the Moon, which is 3.84 ×10⁵ km away, would the light first arrive on Earth in seconds?

A flashlight is used to propel an 85 kg reflective load in space. If the flashlight emits 1W of light in a parallel beam for 1 hour, and the entire beam falls on the surface of the load, find how far the load will have moved at the end of the hour. Assuming it started at rest. (Hint: the force, mass, and acceleration are related through F=m*a; you should also use the physics equation relating position, velocity, and acceleration).

A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Write an expression for the reflection angle ψ, with respect to the surface.