COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 22, Problem 53QAP
To determine
(a)
What is the length of each pulse oflaserlight if a HeNe laser produces a cylindrical beam of light with a diameter of0.750 cm, the energy is pulsed,lasting for 1.50 ns, and each burst contains an energy of 2.00 J?
To determine
(b)
What is the average energy per unit volume for each pulse?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Într-un bloc sunt apartamente cu 2 camere și apartamente cu 3 camere , în total 20 de apartamente și 45 de camere.Calculați câte apartamente sunt cu 2 camere și câte apartamente sunt cu 3 camere.
1.2.19. Let and s be natural numbers. Let G be the simple graph with vertex set
Vo... V„−1 such that v; ↔ v; if and only if |ji| Є (r,s). Prove that S has exactly k
components, where k is the greatest common divisor of {n, r,s}.
Question 3
over a field K.
In this question, MË(K) denotes the set of n × n matrices
(a) Suppose that A Є Mn(K) is an invertible matrix. Is it always true that A is
equivalent to A-¹? Justify your answer.
(b) Let B be given by
8
B = 0 7 7
0 -7 7
Working over the field F2 with 2 elements, compute the rank of B as an element
of M2(F2).
(c) Let
1
C
-1 1
[4]
[6]
and consider C as an element of M3(Q). Determine the minimal polynomial
mc(x) and hence, or otherwise, show that C can not be diagonalised.
[7]
(d) Show that C in (c) considered as an element of M3(R) can be diagonalised. Write
down all the eigenvalues. Show your working.
[8]
Chapter 22 Solutions
COLLEGE PHYSICS
Ch. 22 - Prob. 1QAPCh. 22 - Prob. 2QAPCh. 22 - Prob. 3QAPCh. 22 - Prob. 4QAPCh. 22 - Prob. 5QAPCh. 22 - Prob. 6QAPCh. 22 - Prob. 7QAPCh. 22 - Prob. 8QAPCh. 22 - Prob. 9QAPCh. 22 - Prob. 10QAP
Ch. 22 - Prob. 11QAPCh. 22 - Prob. 12QAPCh. 22 - Prob. 13QAPCh. 22 - Prob. 14QAPCh. 22 - Prob. 15QAPCh. 22 - Prob. 16QAPCh. 22 - Prob. 17QAPCh. 22 - Prob. 18QAPCh. 22 - Prob. 19QAPCh. 22 - Prob. 20QAPCh. 22 - Prob. 21QAPCh. 22 - Prob. 22QAPCh. 22 - Prob. 23QAPCh. 22 - Prob. 24QAPCh. 22 - Prob. 25QAPCh. 22 - Prob. 26QAPCh. 22 - Prob. 27QAPCh. 22 - Prob. 28QAPCh. 22 - Prob. 29QAPCh. 22 - Prob. 30QAPCh. 22 - Prob. 31QAPCh. 22 - Prob. 32QAPCh. 22 - Prob. 33QAPCh. 22 - Prob. 34QAPCh. 22 - Prob. 35QAPCh. 22 - Prob. 36QAPCh. 22 - Prob. 37QAPCh. 22 - Prob. 38QAPCh. 22 - Prob. 39QAPCh. 22 - Prob. 40QAPCh. 22 - Prob. 41QAPCh. 22 - Prob. 42QAPCh. 22 - Prob. 43QAPCh. 22 - Prob. 44QAPCh. 22 - Prob. 45QAPCh. 22 - Prob. 46QAPCh. 22 - Prob. 47QAPCh. 22 - Prob. 48QAPCh. 22 - Prob. 49QAPCh. 22 - Prob. 50QAPCh. 22 - Prob. 51QAPCh. 22 - Prob. 52QAPCh. 22 - Prob. 53QAPCh. 22 - Prob. 54QAP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- R denotes the field of real numbers, Q denotes the field of rationals, and Fp denotes the field of p elements given by integers modulo p. You may refer to general results from lectures. Question 1 For each non-negative integer m, let R[x]m denote the vector space consisting of the polynomials in x with coefficients in R and of degree ≤ m. x²+2, V3 = 5. Prove that (V1, V2, V3) is a linearly independent (a) Let vi = x, V2 = list in R[x] 3. (b) Let V1, V2, V3 be as defined in (a). Find a vector v € R[×]3 such that (V1, V2, V3, V4) is a basis of R[x] 3. [8] [6] (c) Prove that the map ƒ from R[x] 2 to R[x]3 given by f(p(x)) = xp(x) — xp(0) is a linear map. [6] (d) Write down the matrix for the map ƒ defined in (c) with respect to the basis (2,2x + 1, x²) of R[x] 2 and the basis (1, x, x², x³) of R[x] 3. [5]arrow_forwardQuestion 4 (a) The following matrices represent linear maps on R² with respect to an orthonormal basis: = [1/√5 2/√5 [2/√5 -1/√5] " [1/√5 2/√5] A = B = [2/√5 1/√5] 1 C = D = = = [ 1/3/5 2/35] 1/√5 2/√5 -2/√5 1/√5' For each of the matrices A, B, C, D, state whether it represents a self-adjoint linear map, an orthogonal linear map, both, or neither. (b) For the quadratic form q(x, y, z) = y² + 2xy +2yz over R, write down a linear change of variables to u, v, w such that q in these terms is in canonical form for Sylvester's Law of Inertia. [6] [4]arrow_forwardpart b pleasearrow_forward
- Question 5 (a) Let a, b, c, d, e, ƒ Є K where K is a field. Suppose that the determinant of the matrix a cl |df equals 3 and the determinant of determinant of the matrix a+3b cl d+3e f ГЪ e [ c ] equals 2. Compute the [5] (b) Calculate the adjugate Adj (A) of the 2 × 2 matrix [1 2 A = over R. (c) Working over the field F3 with 3 elements, use row and column operations to put the matrix [6] 0123] A = 3210 into canonical form for equivalence and write down the canonical form. What is the rank of A as a matrix over F3? 4arrow_forwardQuestion 2 In this question, V = Q4 and - U = {(x, y, z, w) EV | x+y2w+ z = 0}, W = {(x, y, z, w) € V | x − 2y + w − z = 0}, Z = {(x, y, z, w) € V | xyzw = 0}. (a) Determine which of U, W, Z are subspaces of V. Justify your answers. (b) Show that UW is a subspace of V and determine its dimension. (c) Is VU+W? Is V = UW? Justify your answers. [10] [7] '00'arrow_forwardTools Sign in Different masses and Indicated velocities Rotational inert > C C Chegg 39. The balls shown have different masses and speeds. Rank the following from greatest to least: 2.0 m/s 8.5 m/s 9.0 m/s 12.0 m/s 1.0 kg A 1.2 kg B 0.8 kg C 5.0 kg D C a. The momenta b. The impulses needed to stop the balls Solved 39. The balls shown have different masses and speeds. | Chegg.com Images may be subject to copyright. Learn More Share H Save Visit > quizlet.com%2FBoyE3qwOAUqXvw95Fgh5Rw.jpg&imgrefurl=https%3A%2F%2Fquizlet.com%2F529359992%2Fc. Xarrow_forward
- 2. What is the total length of the shortest path that goes from (0,4) to a point on the x-axis, then to a point on the line y = 6, then to (18.4)?arrow_forwardموضوع الدرس Prove that Determine the following groups Homz(QZ) Hom = (Q13,Z) Homz(Q), Hom/z/nZ, Qt for neN- (2) Every factor group of adivisible group is divisble. • If R is a Skew ficald (aring with identity and each non Zero element is invertible then every R-module is free.arrow_forwardI have ai answers but incorrectarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
What Are Electromagnetic Wave Properties? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=ftyxZBxBexI;License: Standard YouTube License, CC-BY