Ch 30: Electromagnetic WavesWorksheetSee all chapters
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Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
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Ch 38: Quantum Mechanics

Concept #1: Polarization Filters

Example #1: Initially Vertically Polarized Light

Practice: In each of the following cases, initially vertically polarized light enters the polarizing apparatus with the same initial intensity. Which polarizing apparatuses will cause the light to exit with the largest intensity, 90° from its initial polarization? 

a) A single polarizing filter, oriented 90° from the vertical 

b) Two polarizing filters, the first 45° from the vertical and the second 90° from the vertical 

c) Two polarizing filters, the first 60° from the vertical and the second 90° from the vertical 

d) Two polarizing filters, the first 30° from the vertical and the second 90° from the vertical.

Additional Problems
Unpolarized light with intensity I0 is passed two polarizing filters. The axis of the first filter is horizontal and the axis of the second filter makes an angle of 36.9° with respect to the horizontal. The intensity of the light after it has passed through the second filter is A) 0.32 I0 B) 0.36 I0 C) 0.40 I0 D) 0.50 I0 E) 0.80 I0 F) None of the above answers
Unpolarized light of initial intensity 26.0 W/m 2 is passed through three polarizing filters. Viewed in the direction the light is traveling, the axis of the first polarizing filter is vertical, the axis of the second polarizing filter is at 35.0° clockwise from the vertical, and the axis of the third polarizing filter is at 75.0° clockwise from the vertical. What is the intensity of the light after it has passed through all three polarizing filters?
A beam of polarized light of intensity I 0 travels in the +z-direction and is incident on two linear polarizers (LP1 and LP2) and a quarter wave plate (QWP) as shown below, LP1 has a transmission axes (TA) parallel to the x-axis, the QWP has a fast axis oriented 45° with respect to the x-axis and LP2 has a TA oriented 25° with respect to the x-axis. The light in Regions I, II, and III has intensities I1, I2 and I3, respectively. Find I3/I2. a, I3/I2 = 0.82 b. I3/I2 = 0.18 c. I3/I2 = 1.0 d. I3/I2 = 0.88 e. I3/I2 = 0.50
Unpolarized light of 120 W/m2 intensity passes through two polarizing filters. First, it passes through a polarizing filter with its axis aligned vertically, then it passes through a polarizing filter with its axis aligned horizontally. (a) What is the intensity of the light after it passed through the filters? (b) If a third polarizing filter was placed between the original two, with its axis aligned at 45o from the vertical, what would the intensity of the light be after it passed through all three filters?
Light with intensity I0 = 300 W/m2 passes through two ideal polarizing filters, which are oriented as shown in the figure. The angle of the first polarizer is fixed, while the angle Φ of the second filter is adjustable. a) If the initial light is unpolarized, what value of  Φ will make the intensity at point P equal to 100 W/m2? Φ = _______________   b) Assuming the same conditions as in part (a), what are the maximum electric and magnetic field values at point P? (ε0 = 8.854 x 10-12 C2 / (N•m2)) Emax = _______________ Bmax = _______________   c) Now assume the inital light is linearly polarized in the same direction as the polarizing axis of the first polarizer. If Φ is fixed at the angle found in part (a), what will the intensity at point  P be? I = _______________  
Vertically polarized light passes through a polarization filter with an axis 32° off the vertical. If the initial intensity of the light is 100 W/m2, what is the electric field amplitude of the light after it passes through the filter?  
Unpolarized light of intensity 2.2 kW/m 2 passes through a polarizing filter oriented at 40° from the vertical. After passing through the filter, what is the electric field amplitude of the light? The magnetic field amplitude?
Unpolarized light is incident upon two polarization filters that do not have their transmission axes aligned. If 19% of the light passes through, what is the measure of the angle between the transmission axes of the filters?a) 79°b) 52°c) 60°d) 24°
Unpolarized light of initial intensity 12.0 W/m2 is passed through three polarizing filters. Viewed in the direction the light is traveling, the axis of the first polarizing filter is vertical, the axis of the second polarizing filter is at 37.0° clockwise from the vertical, and the axis of the third polarizing filter is at 75.0° clockwise from the vertical. What is the intensity of the light after it has passed through all three polarizing filters?A) zeroB) 1.39 W/m2 C) 2.17 W/m2D) 2.76 W/m2E) 3.83 W/m2F) none of the above answers
The transmitted light beam (after the final polarized) will a) have a vertical polarization direction.b) have a polarization dependent on the direction of the incident polarization direction.c) be unpolarized.
Unpolarized light with intensity 4.00 W/m2 is incident to two polarizing filters. The axis of the first filter is vertical. What is the angle between the vertical direction and the axis of the second filter if the intensity of the light after it passes through the second filter is 1.25 W/m2?
Light that is initially unpolarized and with initial intensity I0 passes through two polarizing filters. The angle between the polarizing axis of the first and second filter is 45°. What is the intensity of the light after it has passes through the second filter?(a) zero(b) 0.71 I0(c) 0.50 I0(d) 0.25 I0(e) I0(f) none of the above answers
Unpolarized light with intensity I0 is incident to two polarizing filters. The axis of the first filter is oriented at 37.0° counterclockwise from the horizontal, as shown in the sketch. The axis of the second filter is vertical. If the intensity of the light after it has passed through both filters is 0.300 W/m2, what is the initial intensity I0 of the light?