n = 1.45

E₁ H₁ X OR ET E₁ tTE = ER HT ET HR ns Transverse Electric, TE nu The Figure above shows TE polarised light incident on a dielectric interface. Light is in- cident from the upper left, in a sourced medium with refractive index ng at an angle of incidence 0₁, onto an unsourced medium with refractive index nu, and transmitted at angle of refraction T. Both media are non-magnetic. The vectors H₁, HR, HT are the magnetic fields for incident, reflected and transmitted waves respectively; the corresponding E fields point into the paper, as shown by the arrow-tail symbols. State the boundary conditions on the E and H fields, then use these to prove that the amplitude transmission coefficient tre is given by Z 2ng cos 01 ng cos 0₁ + nu cos OT (Justify any assumption relating impedance to refractive index).

A beam of light goes from the air into the water with incident angle θa = 34 degrees. The index of refraction of water is nw = 1.3. The index of refraction of air is na = 1. a) Solve for the numerical value of θw in degrees.

. What is the speed of light in water? In glycerine? The refractive index of light in water is 1.333 and in glycerine is 1.473. Speed to light in vacuum is 3×10 m/s. V watei V glycerine m S m S

A fiber optic is made by cladding a thin fiber core of refractive index n₁ = 1.45 with a material of refractive index n₂ = 1.38. What is the maximum incident angle, 0, so that the light ray is totally internally reflected inside the fiber?

A coating is being applied to reduce the reflectivity of a pane of glass to light with a frequency of 4.14 × 1014 Hz that is incident normally on the pane. If the material has an index of refraction of 1.34 and the glass has an index of refraction of 1.537, what is the minimum thickness the coating should have in nanometers? Please keep one decimal place in your answer. (c = 3.00 × 108 m/s)

The index of refraction for violet light in silica flint glass is 1.66, and that for red light is 1.62. A) What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 51.0°? B) What is the angular spread (in degrees) of visible light passing through a prism of apex angle 60.0° if the angle of incidence is 90°?

A light beam is traveling through an unknown substance. When it strikes a boundary between that substance and the air (nair - 1), the angle of reflection is 34.0° and the angle of refraction is 46.0°. What is the index of refraction n of the substance? n =

Homework 11, Problem 7

1) A pulse of light takes 3.00 ns to travel through air from an emitter to a detector. When a piece of transparent material with a length of 35.0 cm is introduced into the light's path, the pulse takes 3.40 ns to travel that same distance. The piece of transparent material is held so that the pulse never changes direction. What is the speed of light in the transparent material? (in ns please) 2) A small red LED  is placed on the principal axis 6.00 cm from a concave mirror that has a radius of curvature of 14.0 cm. The LED can be considered to be a point source. Find the image distance for the image of the LED that is created by the mirror. (in cm please. Image attached below) I appreciate the help. I've attempeted the first question multiple times and always end up with the wrong answer so I don't know what equation to use.