Question

A beam of polarized light is sent into a system of two polarizing sheets. The polarizing...

A beam of polarized light is sent into a system of two polarizing sheets. The polarizing direction of the first sheet is at an angle ? relative to the polarization direction of the incident light, and the second is at a right angle to the incident light. In terms of ?, what fraction of the incident intensity is transmitted by the two sheets?

Homework Answers

Answer #1

let the intensity of incident polarized light be ''Iincident''

first sheet makes angle relative to incident light

so intensity emerging out from first

Ifirst = Iincident Cos2

second polariser make angle 90 with the incident light, hence the angle made relative to first polariser and hence the light coming from first polariser would be (90-)

intensity of light coming from second polariser

Isecond = Ifirst Cos2 (90-)

Ifirst = (Iincident Cos2) Sin2

fraction = Isecond/Iincident = Cos2 Sin2

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A polarized beam of light has intensity I0. We want to rotate the direction of polarization...
A polarized beam of light has intensity I0. We want to rotate the direction of polarization by 90.0° using ideal polarizing sheets What is the fraction of the incident light intensity that is transmitted, if we use a single sheet?
A beam of initially unpolarized light is sent through two polarizing sheets placed one on top...
A beam of initially unpolarized light is sent through two polarizing sheets placed one on top of the other. What is the angle between the polarizing directions of the sheets (provide the answer in the range from 0° to 90°) if the intensity of the transmitted light is 0.320 times the incident intensity?
A beam of polarized light with an average intensity of 14.5 W/m² is sent through a...
A beam of polarized light with an average intensity of 14.5 W/m² is sent through a polarizer. The transmission axis makes an angle of 21.0° with respect to the direction of polarization. Determine the rms value of the magnetic field of the transmitted beam. Answer in T.
(a) What is the minimum number of polarizing sheets required to rotate the polarization direction of...
(a) What is the minimum number of polarizing sheets required to rotate the polarization direction of a polarized beam of light by 90 degrees? (b) What is the minimum number of sheets required if the intensity of the transmitted beam is to be at least 60% of the original beam?
9. A polarized light is incident on several polarizing disks whose planes are parallel and centered...
9. A polarized light is incident on several polarizing disks whose planes are parallel and centered on common axis. Suppose that the transmission axis of the first polarizer is rotated 18° relative to the axis of polarization of the incident light, and that the transmission axis of each additional analyzer is rotated 18° relative to the transmission axis of the previous one. What is the minimum number of polarizer needed (whole number), so the transmitted light through all polarizing sheets...
The light incident on polarizing sheet P 1 P1P1 is linearly polarized at an angle of...
The light incident on polarizing sheet P 1 P1P1 is linearly polarized at an angle of 30.0° 30.0°30.0° with respect to the transmission axis of P 1 P1P1 . Sheet P 2 P2P2 is placed so that its axis is parallel to the polarization axis of the incident light, that is, also at 30.0° 30.0°30.0° with respect to P 1 P1P1 . (a) What fraction of the incident light passes through P 1 P1P1 ? (b) What fraction of the...
We want to rotate the direction of polarization of a beam of polarized light through 90...
We want to rotate the direction of polarization of a beam of polarized light through 90 degrees by sending the beam through one or more polarizing sheets. (a) What is the minimum number of sheets required (assuming the power of the passing-through beam can be as small as possible, but not zero). (b) What is the minimum number of sheets required if the transmitted intensity is to be more than 50% of the original intensity? (c) What is the minimum...
10). Unpolarized light of intensity I0 passes through four ideal polarizing sheets. The polarizing angle of...
10). Unpolarized light of intensity I0 passes through four ideal polarizing sheets. The polarizing angle of each sheet is rotated 30° from the one before it, so that the last sheet is aligned at 90°. 10a). Light passes through three ideal polarizing sheets. Unpolarized light enters the first sheet and the resultant vertically polarized beam continues through the second sheet and third sheet. The second sheet has its transmission axis at 50° with respect to the first sheet, and the...
Plane-polarized light is incident on a single polarizing disk, with the direction of E0 parallel to...
Plane-polarized light is incident on a single polarizing disk, with the direction of E0 parallel to the direction of the transmission axis. Through what angle should the disk be rotated so that the intensity in the transmitted beam is reduced by a factor of each of the following? (a) 2.30 (b) 4.90 (c) 6.2
A beam of partially polarized light can be considered to be a mixture of polarized and...
A beam of partially polarized light can be considered to be a mixture of polarized and unpolarized light. Suppose we send such a beam through a polarizing filter and then rotate the filter through 360° while keeping it perpendicular to the beam. If the transmitted intensity varies by a factor of 4.8 during the rotation, what fraction of the intensity of the original beam is associated with the beam's polarized light?