Equation gives the relation between the angle of deviation d of a light ray incident on
Question:
Equation gives the relation between the angle of deviation фd of a light ray incident on a spherical drop of water in terms of the incident angle θ1 and the index of refraction of water.
(a) Assume that nair = 1, and differentiate фd with respect to θ1.
(b) Set dфd/dθ1 = 0 and show that the angle of incidence θ1m for minimum deviation is given by
And find θ1m for water, where the index of refraction for water is 1.33.
n² - 1 cos Om 3
Step by Step Answer:
a With n air 1 Equation 3318 reads d 2 1 4 sin 1 sin 1 n Taking the derivative of ...View the full answer
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
Related Video
Using a few basic physics principles, you can impress your friends with a trick that makes a bottle disappear. For this experiment, you will need a mini plastic bottle, glycerin, a glass, and a funnel. First, open the bottle and pour some glycerin into it, then close the bottle tightly. Next, pour some water into the glass using a funnel. Place the mini bottle into the glass of water and it will look normal. This is because light travels through air faster than it travels through the glass and water, allowing our eyes to see the bottle inside the glass. However, when you fill the mini bottle with more glycerin, and pour glycerin into the glass, then put the glycerin filled bottle into the glass with glycerin in it. Half of the bottle that is submerged in the glycerin will become invisible as the light travels through glass and glycerin at the same speed, thus it does not bend and no refraction takes place, making the bottle invisible. This happens because both glass and glycerin have almost the same refractive index, which causes the speed of light to be the same in both mediums, causing no bending of light and making the bottle disappear.
Students also viewed these Electricity and Magnetism questions
-
A light ray incident on a prism is refracted at the first surface, as shown in figure. Let Ñ represent the apex angle of the prism and n its index of refraction. Find, in terms of n and...
-
The following transactions took place with respect to Model B computers in Jacksons Computer Store during November 2012: Assuming the periodic inventory method, compute cost of goods sold and ending...
-
The equation gives the relation between temperature readings in Celsius and Fahrenheit. (a) Is C a function of F? (b) What is the mathematical domain of this function? (c) If we consider this...
-
Jane Doe is single and claims 2 withholding allowances. If her weekly gross earning is $1,450, then determine the Federal Withholding Tax.
-
From Exercise 2, calculate Ben's net pay. The state income tax rate is 5%, and health insurance is $35. In Exercise 2 Ben Stein, single, claiming one exemption, has cumulative earnings before this...
-
What is a password?
-
MC Electronics is considering two plans for raising \(\$ 1,000,000\) to expand operations. Plan A is to issue \(9 \%\) bonds payable, and plan B is to issue 100,000 shares of common stock. Before any...
-
The following data pertain to the Aquarius Hotel Supply Company for the year just ended. Budgeted sales revenue.................................................................$945,000 Budgeted...
-
3 Use linear approximation, i.e. the tangent line, to approximate 64.2 as follows: Let f(x) = x. The equation of the tangent line to f(x) at x = 64 can be written in the form y = mx + b where m is:...
-
Make a chart that compares systemic arteries, capillaries, and systemic veins. Consider the following properties: structure; amount of smooth muscle; presence of valves; cross-sectional area; blood...
-
Suppose rain falls vertically from a stationary cloud 10,000 m above a confused marathoner running in a circle with constant speed of 4 m/s. The rain has a terminal speed of 9 m/s. (a) What is the...
-
(a) Show that a light ray transmitted through a glass slab emerges parallel to the incident ray but displaced from it. (b) For an incident angle of 60 o , glass of index of refraction n = 1.5, and a...
-
Sketch the graph of the solution set of the system of inequalities. 1. 2. y < x + 1 ly > x 1 y < 6 2x x ly 2 x + 6
-
Assume that Provident Health System, a for-profit hospital, has \($1\) million in taxable income for 2016, and its tax rate is 30 percent. a. Given this information, what is the firms net income?...
-
What is moral hazard, and how do insurers handle it?
-
Hermann Corporation is considering an investment of 375 million with expected after-tax cash inflows of 115 million per year for seven years and an additional after-tax salvage value of h50 million...
-
A financial analyst at Buckco Ltd. wants to compute the companys weighted average cost of capital (WACC) using the dividend discount model. The analyst has gathered the following data: Buckcos WACC...
-
What is the McConachie net investment outlay? A. \($400\),000. B. \($420\),000. C. \($460\),000. McConachie Company is considering the purchase of a new 400-ton stamping press. The press costs...
-
You have seen dogs shake to shed water from their fur. The motion is complicated, but the fur on a dog's torso rotates back and forth along a roughly circular arc. Water droplets are held to the fur...
-
Hardin Services Co. experienced the following events in 2016: 1. Provided services on account. 2. Collected cash for accounts receivable. 3. Attempted to collect an account and, when unsuccessful,...
-
Solve Problem 14 by applying the simplex method to the dual problem. Data in Problem 14 Form the dual problem of the linear programming problem Minimize C = 2x + 5x subject to x + 2x = 10 3x + x 18 ...
-
Different lamps might have batteries connected in either of the two arrangements shown in Fig. 18-33. What would be the advantages of each scheme? (b) (a)
-
Compare and discuss the formulas for resistance and for capacitor when connected in series and in parallel.
-
A current of 1.30A flows in a wire. How many electrons are flowing past any point in the wire per second?
-
EXERCISE 3-2 (LO1,2) Adjusting Entries The trial balance of Lauer Corporation at December 31, 2015 follows, before and after the posting of adjusting entries. Exercises 131 Trial Balance Adjustments...
-
Question 4 Let f(z) = 1 1 - a cos a-1 x+|x| x3+27 if x-3 if x = -3 Suppose f is continuous at every point on the whole real line R. Determine the value of a.
-
Write a new warehouse health and safety policy that defines how issues must be reported to management.
Study smarter with the SolutionInn App