Question

In: Physics

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of...

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 14.0 units (arbitrary). Calculate the transmitted intensity If when ?1 = 23.0

Solutions

Expert Solution

From Malus Law,              I = Io cos2 ( @)

Intensity Of light through first Polarizer , I1 = Ii * cos2 ( @1 )

I1 = Ii * cos2 ( 23)

Light transmitted through first polarizer is polarized 230 from vertical, Angle between it and second Polarizer is    ( 45-23 = 22 0 )

So Intensity of light through second polarizer, I2 = I1 * cos2 ( 22)

I2 = Ii *cos2(23) *cos2 (22)

The angle between third polarizer and second polarizer is ( 59 - 45 = 14)

I3 = If = I2 *cos2 ( 14)

If = Ii * cos2 ( 23)*cos2 (22)*cos2 ( 14)

If = 9.589 units


Related Solutions

Three polarizing disks whose planes are parallel and centred on common axis. The directions of their...
Three polarizing disks whose planes are parallel and centred on common axis. The directions of their transmission axes relative to the vertical are respectively: θ1 = 34o clockwise, θ2 = 16o counter-clockwise, and θ3 = 19o clockwise. A beam of light polarized along the vertical is incident onto the first polarizer with an intensity of I0 = 30 W/m². Calculate the transmitted intensity through all three polarizers.
Three ideal polarizing filters are stacked, with the polarizing axis of the second and third filters...
Three ideal polarizing filters are stacked, with the polarizing axis of the second and third filters at 29.0? and 55.0?, respectively, to that of the first. If unpolarized light is incident on the stack, the light has intensity 75.0W/cm2 after it passes through the stack. 1. If the incident intensity is kept constant, what is the intensity of the light after it has passed through the stack if the second polarizer is removed?
A 180 mW vertically polarized laser beam passes through a polarizing filter whose axis is 36...
A 180 mW vertically polarized laser beam passes through a polarizing filter whose axis is 36 ∘ from horizontal. What is the power of the laser beam as it emerges from the filter?
A 225 mW horizontally polarized laser beam passes through a polarizing filter whose axis is 23°...
A 225 mW horizontally polarized laser beam passes through a polarizing filter whose axis is 23° from vertical. What is the power of the laser beam as it emerges from the filter? answer units must be in mW
1. Unpolarized light of intensity I0 is incident on three polarizing filters. The axis of the...
1. Unpolarized light of intensity I0 is incident on three polarizing filters. The axis of the first is vertical, that of the second is 29° from vertical, and that of the third is horizontal. What light intensity emerges from the third filter?  ✕ I0 2. A 215 mW horizontally polarized laser beam passes through a polarizing filter whose axis is 23° from vertical. What is the power of the laser beam as it emerges from the filter? in mW 3. Two...
1. Unpolarized light of intensity I0 is incident on three polarizing filters. The axis of the...
1. Unpolarized light of intensity I0 is incident on three polarizing filters. The axis of the first is vertical, that of the second is 31° from vertical, and that of the third is horizontal. What light intensity emerges from the third filter? ✕ I0 2. A 215 mW horizontally polarized laser beam passes through a polarizing filter whose axis is 28° from vertical. What is the power of the laser beam as it emerges from the filter? mW 3. Two...
Consider an electron between two grounded conducting parallel plates perpendicular the x axis, and intersecting x...
Consider an electron between two grounded conducting parallel plates perpendicular the x axis, and intersecting x at ±a. A particle with charge q is placed at x = a/2 between the plates. Derive an expression for the magnitude and direction of the force exerted on the particle. Write your answer in terms of the parameters q and a of the problem, and use a computer if necessary to obtain a numerical value for your answer. Computed numerical values should be...
Unpolarized light is passed through three successive polarizing filters, each with its transmission axis at 45...
Unpolarized light is passed through three successive polarizing filters, each with its transmission axis at 45 to the preceding filter. What percentage of the total light striking the first filter gets through the last filter? Does the transmission depend on wavelength? Explain.
Unpolarized light is passed through three successive polarizing filters, each with its transmission axis at 45deg...
Unpolarized light is passed through three successive polarizing filters, each with its transmission axis at 45deg to the preceding filter. What percentage of the total light striking the first filter gets through the last filter? Does the transmission depend on wavelength? Explain.
Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown....
Three infinite straight wires are fixed in place and aligned parallel to the z-axis as shown. The wire at (x,y) = (-13.5 cm, 0) carries current I1 = 3.2 A in the negative z-direction. The wire at (x,y) = (13.5 cm, 0) carries current I2 = 1.4 A in the positive z-direction. The wire at (x,y) = (0, 23.4 cm) carries current I3 = 5.1 A in the positive z-direction. 1) What is Bx(0,0), the x-component of the magnetic field...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT