need help ### Transcription for Educational Website#### Electromagnetic Wave CharacteristicsAn electromagnetic wave has a magnetic field described by the expression:\[ \mathbf{B} = (20.0 \, \mu \text{T}) \cos[kx + (2.70 \times 10^{15} \, \text{rad/s})t] \hat{\mathbf{z}} \]and is traveling in the \( -\hat{\mathbf{x}} \) direction in a vacuum.**Determine the color of the light.**Options:(A) Red (B) Orange (C) Green (D) Purple (E) Outside visible spectrum #### Expression for the Electric FieldDetermine an expression for the electric field \(\mathbf{E}\) of this wave as a function of \(x\) and \(t\).Options:(A) \(\mathbf{E} = (12.0 \, \text{kV/m}) \cos[(9.0 \times 10^6 \, \text{m}^{-1})x - (2.7 \times 10^{15} \, \text{rad/s})t](-\hat{\mathbf{y}})\)(B) \(\mathbf{E} = (20.0 \, \text{kV/m}) \cos[(2.7 \times 10^{15} \, \text{rad/s})x - (9.0 \times 10^6 \, \text{m}^{-1})t]\hat{\mathbf{y}}\)(C) \(\mathbf{E} = (30.0 \, \text{kV/m}) \cos[(2.7 \times 10^6 \, \text{m}^{-1})x - (9.0 \times 10^{15} \, \text{rad/s})t]\hat{\mathbf{y}}\)(D) \(\mathbf{E} = (6.0 \, \text{kV/m}) \cos[(9.0 \times 10^6 \, \text{m}^{-1})x - (2.7 \times 10^{15} \, \text{rad/s})t](-\hat{\mathbf{y}})\)(E) \(\mathbf{E} = (16.0 \, \text{kV/m}) \cos[(2.7 \times

Magnetic field, travelling in direction.To find:The color of light.Expression for the electric…

An electromagnetic wave has an magnetic field given by the expression B=(20.0μT) cos [kx + (2.70×10¹5 rad)t]2 and is traveling in the direction in vacuum. Determine the color of the light. (A) Red (B) Orange (C) Green (D) Purple (E) outside visible spectrum Determine an expression for the electric field of this wave as function of x and t. Microwaves 1 cm (B) 1.21 Far IR 1 mm 1000 um Thermal IR-100 um (C) 3.84 700nm Red Infra-red (A) E = (12.0kV / m) cos((9.0×106 m-¹)x - (2.7×10¹5 rad)t)(- ŷ) (B) E = (20.0kV/m) cos((2.7×10¹5 rad)x-(9.0×100 m¯¹)t) y (C) E = (30.0kV/m) cos((2.7x106m¹)x-(9.0×10¹5 rad)t) (D) E = (6.0kV/m) cos((9.0×106 m-¹)x-(2.7×10¹5 rad)t)(- ŷ) (E) E = (16.0kV/m) cos((2.7×10¹5 rad)x+(9.0×10°m¯¹)t)(− ŷ) 10 μm, Near IR 1μm 1000 nm 600nm Orange Visible (D) 3.19 100 nm Ultraviolet 500nm Green 10 n X-rays -1 nm 400nm Purple If the wave is reflected by a surface, find the pressure it exerts on the surface. Give an answer in units of 104 pascal. (A) 4.45 0.1 mm Wavelengths Gamma-rays 0.1 A (E) 6.85

An electromagnetic wave has an magnetic field given by the expression B=(20.0μT) cos [kx + (2.70×10¹5 rad)t]2 and is traveling in the direction in vacuum. Determine the color of the light. (A) Red (B) Orange (C) Green (D) Purple (E) outside visible spectrum Determine an expression for the electric field of this wave as function of x and t. Microwaves 1 cm (B) 1.21 Far IR 1 mm 1000 um Thermal IR-100 um (C) 3.84 700nm Red Infra-red (A) E = (12.0kV / m) cos((9.0×106 m-¹)x - (2.7×10¹5 rad)t)(- ŷ) (B) E = (20.0kV/m) cos((2.7×10¹5 rad)x-(9.0×100 m¯¹)t) y (C) E = (30.0kV/m) cos((2.7x106m¹)x-(9.0×10¹5 rad)t) (D) E = (6.0kV/m) cos((9.0×106 m-¹)x-(2.7×10¹5 rad)t)(- ŷ) (E) E = (16.0kV/m) cos((2.7×10¹5 rad)x+(9.0×10°m¯¹)t)(− ŷ) 10 μm, Near IR 1μm 1000 nm 600nm Orange Visible (D) 3.19 100 nm Ultraviolet 500nm Green 10 n X-rays -1 nm 400nm Purple If the wave is reflected by a surface, find the pressure it exerts on the surface. Give an answer in units of 104 pascal. (A) 4.45 0.1 mm Wavelengths Gamma-rays 0.1 A (E) 6.85

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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### Transcription for Educational Website

#### Electromagnetic Wave Characteristics

An electromagnetic wave has a magnetic field described by the expression:
\[ \mathbf{B} = (20.0 \, \mu \text{T}) \cos[kx + (2.70 \times 10^{15} \, \text{rad/s})t] \hat{\mathbf{z}} \]
and is traveling in the \( -\hat{\mathbf{x}} \) direction in a vacuum.

**Determine the color of the light.**

Options:
(A) Red
(B) Orange
(C) Green
(D) Purple
(E) Outside visible spectrum

#### Expression for the Electric Field

Determine an expression for the electric field \(\mathbf{E}\) of this wave as a function of \(x\) and \(t\).

Options:
(A) \(\mathbf{E} = (12.0 \, \text{kV/m}) \cos[(9.0 \times 10^6 \, \text{m}^{-1})x - (2.7 \times 10^{15} \, \text{rad/s})t](-\hat{\mathbf{y}})\)

(B) \(\mathbf{E} = (20.0 \, \text{kV/m}) \cos[(2.7 \times 10^{15} \, \text{rad/s})x - (9.0 \times 10^6 \, \text{m}^{-1})t]\hat{\mathbf{y}}\)

(C) \(\mathbf{E} = (30.0 \, \text{kV/m}) \cos[(2.7 \times 10^6 \, \text{m}^{-1})x - (9.0 \times 10^{15} \, \text{rad/s})t]\hat{\mathbf{y}}\)

(D) \(\mathbf{E} = (6.0 \, \text{kV/m}) \cos[(9.0 \times 10^6 \, \text{m}^{-1})x - (2.7 \times 10^{15} \, \text{rad/s})t](-\hat{\mathbf{y}})\)

(E) \(\mathbf{E} = (16.0 \, \text{kV/m}) \cos[(2.7 \times

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