A spacer is cut from a playing card of thickness 2.82 ✕ 10−4 m and used to separate one end of two rectangular, optically flat, 3.10 cm long glass plates with n = 1.65, as in the figure below. Laser light at 594 nm shines straight down on the top plate.   Two plates lie one on top of the other. They touch each other at the right end, and are separated by a small circle at the left end. Three arrows point vertically downward toward the top plate. (a) Count the number of phase reversals for the interfering waves.   (b) Calculate the separation (in m) between dark interference bands observed on the top plate. m

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.

Part (b)  Numerically, what is the angle in degrees?  θ2=  Part (c)  Write an expression for the reflection angle ψ, with respect to the surface.  ψ =   Part (d)  Numerically, what is this angle in degrees?  ψ =

Two antennas located at points A and B are broadcasting radio waves of frequency 104.0 MHz. The signals start in phase with each other. The two antennas are separated by a distance d = 8.7 m. An observer is located at point P on the x axis, a distance x = 110.0 m from antenna A. The points A, P, and B form a right triangle. Now observer P walks along the x axis toward antenna A. What is P's distance from A when they first observe fully constructive interference between the two waves?

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.

Three sheets of plastic have unknown indices of refraction.Sheet 1 is placed on top of sheet 2, and a laser beam is directed unto the sheets from above so that it strikes the interface at an angle of 26.5 degrees with the normal. The refracted beam in sheet 2 makes an angle of 31.7 degrees with the normal. The experiment is repeated with sheet 3 on top of sheet 2, and with the same angle of incidence, the refracted beam makes an angle of 36.7 degrees with the normal. If the experiment is repeated again with sheet 1 on top of sheet 3, determine the expected angle of refraction in sheet 3?. Assume the same angle of incidence.

Problem 13: A ray of light is incident on an air/water interface. The ray makes an angle of 01 = 22 degrees with respect to the normal of the surface. The index of the air is n = 1 while water is n₂ = 1.33. Part (b) Numerically, what is the angle in degrees? 0₂=1 Part (a) Choose an expression for the angle (relative to the normal to the surface) for the ray in the water, 02. Answer Saved Successfully! 8₂=asin (sin()) sin() cos() cotan() asin() atan() acotan() cosh() sinh() tanh() cotanh() Degrees O Radians Submit tan() acos() E 4 5 6 1 2 3 () Hint * Feedback 7 8 9 HOME 1 + 0 VO BACKSPACE DEL CLEAR - I give up! . ni END n2 0₁ 02₂