If a beam of polarized light has one-tenth of its initial intensity after passing through an analyzer, what is the angle between the axis of the analyzer and the initial amplitude of the beam? a. 68.214° b. 70.478 c. 71.565° d. 86.214°
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- An EM wave has a magnetic field strength of 5.00×10^−4 [T]. What is its electric field strength when travelling in a medium with n=1.50? A. 1.00×10^5[V/m] B. 1.50×10^5[V/m] C. 3.00×10^11[V/m] D. 6.00×10^11[V/m]A solar sail 32.5 m2 in area and made of an absorptive material is orbiting the Sun in space. The Sun light normally incident on the solar sail exerts a radiation pressure of 3.22E-6 N/m2 on it. If the material is replaced with a reflective material that can complete reflect the Sun light, what will the radiation pressure become (in N/m2)?3.3. Three different electromagnetic waves of the same frequency and polarization direction are spatially overlapped, interfering with one another. Each of the waves is represented as follows at a certain instant. 2πχ 2πχ 2πχ E, = E. cos (²x). E₁ = 2E, cos (2x _R). E₁ = E. cos (²7x A) 6 4 Express the combined wave as a single cosine function and find its in- tensity in terms of E..
- 10. A beam of light polarized along the y axis and moving along the +z axis passes through two polarizing sheets with axes of polarization oriented 30° and 70° measured clockwise from the positive direction of the y axis. The final intensity of the beam is found to be 61 W/m². What is the initial beam intensity? (1) 280 W/m² (2) 700 W/m² (3) 200 W/m² (4) 50 W/m² .2 (5) 140 W/m² 11. Light of wavelength 520 nm is incident perpendicularly on a diffraction grating having 200 lines/mm. What is the highest8. Three polarizing disks whose planes are parallel and centered on common axis. The directions of their transmission axes relative to the vertical are respectively: 01 = 17°, 02 = 45°, and 03 = 55°. A beam of light polarized along the vertical is incident onto the first polarizer with an intensity of Io = 14 W/m2. Calculate the transmitted intensity through all three polarizers. W/m2 of19 00 of1 9 oor19Answer the following two bonus questions. a. The electric field in the EM wave is given by the following equation: E = 450sin(0.40z – 6.0 x 10°t)î, where E is N/C, z in meters and t in seconds. Determine the curl of the electric field (V X E). b. Use the divergence theorem to convert the Gauss' law from the integral form to the differential form.
- An observer at a fixed distance from a light bulb measures the light intensity at her location to be 10 watts/m2. What is the maximum value of the electric field strength at the observer's location? a. 87 N/C b. 61 N/C c. 48 N/C d. 74 N/C e. 100 N/CVertically polarized light of intensity lo is incident on a polarizer whose transmission axis is at an angle of 70° with the vertical. If the intensity of the transmitted light is measured to be 0.34W/m², the intensity lo of the incident light is O 1.71 W/m2 O 0.99 W/m² O 0.43 W/m2 O 2.91 W/m²2. A sinusoidal electromagnetic wave with frequency 5.0x10“Hz travels in vacuum in the +x direction. The amplitude of electric field is 1.2x10³V/m. Find angular frequency w, wave number k, and amplitude of magnetic field. Write the wave function for the magnetic field in the form B = BmaxSin (wt –- kx).
- The vector direction of the electromagnetic field in a propagating light wave is called a. the polarization b. the amplitude c. the frequency d. the propagation constant e. the phaseg . Explain what the polarization of electromagnetic waves is. State two examples for a possiblepolarization of a wave as well as an example for its application.