Explanation Given data: Radius of the metal cylinder is R . Height of ray from the principal axis is R 2 . Modify FIGURE P18.45 as shown in Figure 1. According to Snell’s law, Angle of incident = Angle of reflection = θ 2 Write the expression of sin θ 2 for a right angled triangle by using trigonometric rule. sin θ 2 = R 2 R = R 2 ( R ) = 1 2 Rearrange and simplify the expression

Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)

3rd Edition

ISBN: 9780321908865

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

See similar textbooks

Question

Chapter 18, Problem 45GP

To determine

The angle θ at which the ray gets reflected.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 18, Problem 44GP

Chapter 18, Problem 46GP

Students have asked these similar questions

Draw a third quadrant vector C. (remember that boldface characters represent vector quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x- axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally, show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these angles p1 and p2, repectively. a) Prove the following formulas for the components of C involving the standard angle (hint: start with the formulas for the components based on the angle & and then use (look up if necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 = 3π/2-8 (this will switch cosine and sine around and eliminate - signs as well)) - C=Ccose C₁=Csine b) Prove the following formulas for the components of C: C=Ccosp1 C=Ccosp2

Notation matters when working with vectors! In particular, it is important to distinguish between the vector itself (A) and its magnitude (A). Illustrate in four separate sketches that each of the following statements is possible: a) both R = A + B and R=A+B are correct b) R = A + B is correct, but R=A+B is incorrect c) R = A + B is incorrect, but R=A+B is correct d) both R = A + B and R=A+B are incorrect

You know from your math courses that an infinitesimal segment of a circular arc can be considered as a straight line segment. Imagine that you cover a full circle in, say, the clockwise direction, with infinitesimal displacement vectors dr. Then evaluate fdr and fdr (the circle symbol on the integral just reminds us that we have to go around the full circle).

Chapter 18 Solutions

Student Workbook for College Physics: A Strategic Approach Volume 1 (Chs. 1-16)

Ch. 18 - Prob. 1CQ Ch. 18 - Prob. 2CQ Ch. 18 - Can you see the rays from the sun on a clear day?...Ch. 18 - If you take a walk on a summer night along a dark,...Ch. 18 - You are looking at the image of a pencil in a...Ch. 18 - Prob. 6CQ Ch. 18 - In Manets A Bar at the Folies-Bergere (see Figure...Ch. 18 - Explain why ambulances have the word AMBULANCE...Ch. 18 - a. Consider one point on an object near a lens....Ch. 18 - When you look at your reflection in the bowl of a...

Knowledge Booster

The angle θ at which the ray gets reflected.

Solution Summary: The author explains that the angle at which the ray gets reflected is 60°.

The angle θ at which the ray gets reflected.

Want to see the full answer?

Chapter 18 Solutions