PROVE THAT FOR PARALLEL LIGHT RAYS INCIDENT ON A FILM WITH THICKNESS t. AT AN ANGLE D: THE OPTICAL PATH DIFFERENCE (OPD) IS
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- A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p 10.4 cm from the wall of a bowl of radius |R| = 15.8 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl. 1.07 Your response differs from the correct answer by more than 10%. Double check your calculations. cm behind the glassPLEASE ANSWER ASAP: A soap bubble spans a square wire frame. The bubble has an index of refraction n = 1.33. (It's mostly water.) The bubble is very thin at the top and gets steadily thicker as you go down. You are looking at white light reflected rom the bubble. The bubble is dark at the top, and below this there are repeating rainbows of color. (Only the first one is shown, and, in reality, things aren't so uniform.) In all cases in this problem, consider only normal incidence of the light. a) Why is it dark at the top? (Note: this is also a hint for next part.) b) What is the thickness t of the bubble at the first red stripe from the top? Take red light to have Lamfa= 650 nm in air. Show your work.A light ray is incident perpendicular to the left face of the shown prism made of glass (n = 1.6). What is the largest value of the angle p such that the light ray is totally reflected at the far right face if the prism is surrounded by air? Express your answer to the nearest degree.
- A light wave is incident within glass of refractive undex nG = 1.60 onto a boundary with air. Calculate the critical angle of incident in the glass above which total internal reflection occurs. Give your answer in degrees, to the nearest 0.1 degreeWhich of the following statements are (or could be) true? Choose all that apply. O A glass at a temperature of 43 K will emit EM waves. O The index of refraction of a newly discovered transparent material is 1.6. In a vacuum, radio waves move the same speed as microwaves. O Total internal reflection will occur if the critical angle is greater than the incident angle. A light ray was reflected. The incident angle was 44° and the reflected angle was 60°. O If do = 0, then d; = f.Consider a refracting prism shown below. The face opposite the apex (top of the prism) is called the base. The total angle by which light changes direction is called the angle of deviation D. I A to a. Show that nprism = sin(A+D)/2/ sin (A/2) when light passes through the prism symmetrically such that the angles of incidence (1) and emergence (E) are equal (Assume the angle A is 60°) b. Find the deviation angles for blue and red light having indices of refraction 1.652 and 1.618 respectively. c. Sketch what happens when white light is incident on the prism. I
- consider the following given. A red laser travelled from air (with an index of refraction of nair = 1.00) to medium A then to medium B as shown below.1. Considering that medium B has an index of refraction of nB = 2.42, what is the angle of refraction ϴ3 (when the laser emerged into medium B) if the angle of incidence is ϴ1 = 60o ?a. 0.35ob. 2.79oc. 21.0od. Not enough information2. From the figure, which of the following statements is true across the three media?a. light travels the slowest in airb. light travels faster in medium A than in medium Bc. light travels the fastest in medium Bd. light travels faster in medium A than in air.Light traveling through medium 3 (n3 = 2.4) is incident on the interface with medium 2 (n2 = 2.0) at angle θ. If light does enter into medium 2 but no light enters into medium 1 (n1 = 1.6), what can we conclude about the range of values for θ?Fig. 1 shows a laser beam incident on a piece of wet filter paper placed on a glass plate whose 'refractive indexglass plate whose refractive index is to be measured (the rays are represented in the figure). Explain what happens anddeduce an expression for ni in terms of R and d. Consider the refractive index of air to be 1.Note: Remember that all light that falls on a reflecting surface always has part of the light reflected, being refracted or not.refracted or not. Moreover, θc in the figure represents the critical angle at which we have the condition of total internal reflection