1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lera25 [3.4K]
3 years ago
12

Unpolarized light passes through two polarizers whose transmission axes are at an angle # with respect to each other. What shoul

d be the angle # between the transmission axes of the polarizers if it is desired that one-tenth of the incident intensity be transmitted?
Physics
1 answer:
Yuki888 [10]3 years ago
6 0

Answer:

63.4^{\circ}

Explanation:

When unpolarized light passes through the first polarizer, the intensity of the light is reduced by a factor 1/2, so

I_1 = \frac{1}{2}I_0 (1)

where I_0 is the intensity of the initial unpolarized light, while I_1 is the intensity of the polarized light coming out from the first filter. Light that comes out from the first polarizer is also polarized, in the same direction as the axis of the first polarizer.

When the (now polarized) light hits the second polarizer, whose axis of polarization is rotated by an angle \theta with respect to the first one, the intensity of the light coming out is

I_2 = I_1 cos^2 \theta (2)

If we combine (1) and (2) together,

I_2 = \frac{1}{2}I_0 cos^2 \theta (3)

We want the final intensity to be 1/10 the initial intensity, so

I_2 = \frac{1}{10}I_0

So we can rewrite (3) as

\frac{1}{10}I_0 =  \frac{1}{2}I_0 cos^2 \theta

From which we find

cos^2 \theta = \frac{1}{5}

cos \theta = \frac{1}{\sqrt{5}}

\theta=cos^{-1}(\frac{1}{\sqrt{5}})=63.4^{\circ}

You might be interested in
A woman lifts her 100-newton child up one meter and carries her for a distance of 50 meters to the child's bedroom. How much wor
tankabanditka [31]
100 J

Please mark me brainliest it would be greatly appreciated haha
5 0
3 years ago
Read 2 more answers
I drop an egg from a certain distance and it takes 3.74 seconds to reach the ground. How high up was the egg?
OverLord2011 [107]

Answer:

68.5 meters

Explanation:

Given:

v₀ = 0 m/s

a = 9.8 m/s²

t = 3.74 s

Find: Δy

Δy = v₀ t + ½ at²

Δy = (0) (3.74) + ½ (9.8) (3.74)²

Δy = 68.5

The egg fell 68.5 meters.

7 0
3 years ago
Which moment corresponds to the maximum potential energy of the system?
MissTica
6489 for the founding product
4 0
3 years ago
HELP PLEASE ASAP
CaHeK987 [17]
The answer is most likely A
7 0
3 years ago
Read 2 more answers
8. Chemical weathering occurs more rapidly in what kind of climates?
Lady bird [3.3K]

I think it's b..................

5 0
3 years ago
Read 2 more answers
Other questions:
  • 1. On which date does the Antarctic Circle have 24 hours of daylight? A. June 21
    8·2 answers
  • TRUE OR FALSE: with time and pressure, peat turns into lignite, or brown coal.
    13·2 answers
  • During a 72-ms interval, a change in the current in a primary coil occurs. This change leads to the appearance of a 6.0-mA curre
    5·1 answer
  • What units should be used when measuring the mass of a lady bug?
    13·1 answer
  • Hurricane or typhoons occur when large areas of the open ocean soak up heat from the sun t or f​
    6·1 answer
  • 11. A candle is placed in front of a plane mirror. The calculated value of m,
    10·1 answer
  • Sound travels through air at 343 m/s at 20 °C. A bat emits an ultrasonic squeak and hears the echo 0.05 second later . How far a
    7·1 answer
  • "On a good day, it takes Mr. Hess 23 minutes (1380 seconds) to drive the 12 miles (19,300 meters). What is his average velocity
    12·1 answer
  • Why do you think a “reliable, scholarly” source is always stressed in academic writing?
    10·1 answer
  • How long can you drive on empty?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!