Explanation 1) Concept: Here, we need to use the concept of polarization of light. Also, using the equation of frequency related with wave number, we can calculate the frequency. We can use the equation of amplitude ratio to find the magnitude of electric field. Then, to calculate the intensity of light, we need to use the equation of intensity related with rms value of electric field. 2) Formula: i) E m = B m × c ii) k ^ × i ^ = j ^ iii) λ = 2 π k iv) f = c λ v) Equation 33.25, E r m s = E m 2 vi) Equation 33.26. I = 1 c μ 0 × E r m s 2 3) Given: The magnetic component of the polarized light is B x = 4.0 × 10 - 6 T sin ⁡ 1.57 × 10 7 m - 1 y + ω t . 4) Calculation: a) According to the given equation, the magnetic field is along the x direction and the wave is along the negative y direction. It means E ^ × i ^ = - j ^ This shows that the electric field direction is - k ^ , that is, along the negative z direction. As the polarization direction is along the electric field, we can say that the light is polarized in the direction parallel to z axis. b) From the given equation, we have k = 1.57 × 10 7 m - 1 T

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Question

Chapter 33, Problem 81P

To determine

To find:

a) The direction of polarization of the light.

b) The frequency of the light.

c) Intensity of the light.

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Chapter 33, Problem 80P

Chapter 33, Problem 82P

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The magnetic field in a plane electromagnetic wave is represented by the equation B = Bmax sin(ky - wt)î where Bmax = 2.94 x 10 T and k = 5.86 x 10' /m. (Assume a standard xyz right-handed coordinate system.) (a) What is the magnitude and direction of the electric field at the instant the magnetic field is a maximum? (Express your answer in vector form.) Emax - 88.2k V/m (b) What is the wavelength of the wave? 10.7 How is the wavelength of EM waves related to the wave number? nm (c) What is the frequency of the wave? 2.80E-15 How is the frequency related to the wavelength? Hz

The electric component of a beam of polarized light is Ey = (5.08 V/m) sin[(1.10 × 10° m-4)z + wt). (a) Write an expression for the magnetic field component of the wave, including a value for w. What are the (b) wavelength, (c) period, and (d) intensity of this light? (e) Parallel to which axis does the magnetic field oscillate? (f) In which region of the electromagnetic spectrum is this wave? (a) Bx = ( i ) sin[( i x106 v )z +( i )t] (b) Number i Units (c) Number i Units (d) Number i Units (e) (f) > >

Chapter 33 Solutions

Fundamentals of Physics Extended

Ch. 33 - Prob. 1Q Ch. 33 - Prob. 2Q Ch. 33 - a Figure 33-27 shows light reaching a polarizing...Ch. 33 - Prob. 4Q Ch. 33 - In the arrangement of Fig. 33-l5a, start with...Ch. 33 - Prob. 6Q Ch. 33 - Figure 33-30 shows fays of monochromatic Light...Ch. 33 - Figure 33-31 shows the multiple reflections of a...Ch. 33 - Figure 33-32 shows four long horizontal layers AD...Ch. 33 - The leftmost block in Fig. 33-33 depicts total...

Ch. 33 - Prob. 11Q Ch. 33 - Prob. 12Q Ch. 33 - Prob. 1P Ch. 33 - Prob. 2P Ch. 33 - Prob. 3P Ch. 33 - About how far apart must you hold your hands for...Ch. 33 - SSM What inductance must be connected to a 17 pF...Ch. 33 - Prob. 6P Ch. 33 - Prob. 7P Ch. 33 - Prob. 8P Ch. 33 - Prob. 9P Ch. 33 - Prob. 10P Ch. 33 - Prob. 11P Ch. 33 - Prob. 12P Ch. 33 - Sunlight just outside Earths atmosphere has an...Ch. 33 - Prob. 14P Ch. 33 - An airplane flying at a distance of 10 km from a...Ch. 33 - Prob. 16P Ch. 33 - Prob. 17P Ch. 33 - Prob. 18P Ch. 33 - Prob. 19P Ch. 33 - Radiation from the Sun reaching Earth just outside...Ch. 33 - ILW What is the radiation pressure 1.5 m away from...Ch. 33 - Prob. 22P Ch. 33 - Someone plans to float a small, totally absorbing...Ch. 33 - Prob. 24P Ch. 33 - Prob. 25P Ch. 33 - Prob. 26P Ch. 33 - Prob. 27P Ch. 33 - The average intensity of the solar radiation that...Ch. 33 - SSM A small spaceship with a mass of only 1.5 103...Ch. 33 - A small laser emits light at power 5.00 mW and...Ch. 33 - Prob. 31P Ch. 33 - Prob. 32P Ch. 33 - Prob. 33P Ch. 33 - Prob. 34P Ch. 33 - Prob. 35P Ch. 33 - At a beach the light is generally partially...Ch. 33 - Prob. 37P Ch. 33 - Prob. 38P Ch. 33 - Prob. 39P Ch. 33 - Prob. 40P Ch. 33 - A beam of polarized light is sent into a system of...Ch. 33 - Prob. 42P Ch. 33 - A beam of partially polarized light can be...Ch. 33 - Prob. 44P Ch. 33 - When the rectangular metal tank in Fig. 33-46 is...Ch. 33 - In Fig. 33-47a, a light ray in an underlying...Ch. 33 - Light in vacuum is incident on the surface of a...Ch. 33 - In Fig. 33-48a, a light ray in water is incident...Ch. 33 - Figure 33-49 shows light reflecting from two...Ch. 33 - In Fig. 33-50a, a beam of light in material 1 is...Ch. 33 - GO In Fig. 33-51, light is incident at angle 1 =...Ch. 33 - In Fig. 33-52a, a beam of light in material 1 is...Ch. 33 - SSM WWW ILW in Fig. 33-53, a ray is incident on...Ch. 33 - Prob. 54P Ch. 33 - Prob. 55P Ch. 33 - Rainbows from square drops. Suppose that, on some...Ch. 33 - A point source of light is 80.0 cm below the...Ch. 33 - The index of refraction of benzene is 1.8. What is...Ch. 33 - SSM ILW In Fig. 33-57, a ray of light is...Ch. 33 - In Fig. 33-58, light from ray A refracts from...Ch. 33 - GO In Fig. 33-59, light initially in material 1...Ch. 33 - GO A catfish is 2.00 m below the surface of a...Ch. 33 - In Fig. 33-60, light enters a 90 triangular prism...Ch. 33 - Suppose the prism of Fig. 33-53 has apex angle =...Ch. 33 - GO Figure 33-61 depicts a simplistic optical...Ch. 33 - Prob. 66P Ch. 33 - GO In the ray diagram of Fig. 33-63, where the...Ch. 33 - a At what angle of incidence will the light...Ch. 33 - Prob. 69P Ch. 33 - In Fig. 33-64, a light ray in air is incident on a...Ch. 33 - Prob. 71P Ch. 33 - An electromagnetic wave with frequency 4.00 1014...Ch. 33 - Prob. 73P Ch. 33 - A particle in the solar system is under the...Ch. 33 - SSM In Fig, 33-65, a light ray enters a glass slab...Ch. 33 - Prob. 76P Ch. 33 - Rainbow. Figure 33-67 shows a light ray entering...Ch. 33 - The primary rainbow described in Problem 77 is the...Ch. 33 - SSM emerges from the opposite face parallel to its...Ch. 33 - Prob. 80P Ch. 33 - Prob. 81P Ch. 33 - Prob. 82P Ch. 33 - SSM A ray of white light traveling through fused...Ch. 33 - Three polarizing sheets are stacked. The first and...Ch. 33 - In a region of space where gravirational forces...Ch. 33 - An unpolarized beam of light is sent into a stack...Ch. 33 - SSM During a test, a NATO surveillance radar...Ch. 33 - The magnetic component of an electromagnetic wave...Ch. 33 - Calculate the a upper and b lower limit of the...Ch. 33 - In Fig. 33-71, two light rays pass from air...Ch. 33 - Prob. 91P Ch. 33 - In about A D 150, Claudius Ptolemy gave the...Ch. 33 - Prob. 93P Ch. 33 - Prob. 94P Ch. 33 - Prob. 95P Ch. 33 - Prob. 96P Ch. 33 - Two polarizing sheets, one directly above the...Ch. 33 - Prob. 98P Ch. 33 - Prob. 99P Ch. 33 - Prob. 100P Ch. 33 - Prob. 101P Ch. 33 - Prob. 102P Ch. 33 - Prob. 103P Ch. 33 - Prob. 104P Ch. 33 - Prob. 105P Ch. 33 - In Fig. 33-78, where n1 = l.70, n2 = l .50, and n3...Ch. 33 - When red light in vacuum is incident at the...Ch. 33 - Prob. 108P Ch. 33 - SSM a Show that Eqs. 33-1 land 33-2 satisfy the...Ch. 33 - Prob. 110P

Knowledge Booster

a) The direction of polarization of the light. b) The frequency of the light . c) Intensity of the light.

Solution Summary: The author explains how to find the direction of polarization of the light, the frequency, and the intensity of light.

To find:

a) The direction of polarization of the light.

b) The frequency of the light.

c) Intensity of the light.

Want to see the full answer?

Chapter 33 Solutions

a) The direction of polarization of the light. b) The frequency of the light . c) Intensity of the light.

Solution Summary: The author explains how to find the direction of polarization of the light, the frequency, and the intensity of light.

To find: a) The direction of polarization of the light. b) The frequency of the light. c) Intensity of the light.

Want to see the full answer?

Chapter 33 Solutions

To find:

a) The direction of polarization of the light.

b) The frequency of the light.

c) Intensity of the light.