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
slega [8]
3 years ago
7

The refractive index n of transparent acrylic plastic (full name Poly(methyl methacrylate)) depends on the color (wavelength) of

the light passing through it. At wavelength 486.1 nm (blue, designated with letter F) -> nF=1.497, and at wavelength 656.3 nm (red, designated with letter C) -> nC=1.488. Two beams (one of each wavelength) are prepared to coincide, and enter the flat polished surface of an acrylic block at angle of 45 arc degree measured from the normal to the surface. What is the angle between the blue beam and the red beam in the acrylic block?
Physics
1 answer:
Novosadov [1.4K]3 years ago
4 0

Answer:

The angle between the blue beam and the red beam in the acrylic block is  

 \theta _d  =0.19 ^o

Explanation:

From the question we are told that

     The  refractive index of the transparent acrylic plastic for blue light is  n_F  =  1.497

     The  wavelength of the blue light is F  =  486.1 nm  =  486.1 *10^{-9} \ m

    The  refractive index of the transparent acrylic plastic for red light is  n_C  =  1.488

       The  wavelength of the red light is C =  656.3 nm  = 656.3 *10^{-9} \  m

    The incidence angle is  i  =  45^o

Generally from Snell's law the angle of refraction of the blue light  in the acrylic block  is mathematically represented as

       r_F =  sin ^{-1}[\frac{sin(i) *  n_a }{n_F} ]

Where  n_a is the refractive index of air which have a value ofn_a =  1

So

     r_F =  sin ^{-1}[\frac{sin(45) *  1 }{ 1.497} ]

      r_F  =  28.18^o

Generally from Snell's law the angle of refraction of the red light in the acrylic block is mathematically represented as

       r_C =  sin ^{-1}[\frac{sin(i) *  n_a }{n_C} ]

Where  n_a is the refractive index of air which have a value ofn_a =  1

So

     r_C =  sin ^{-1}[\frac{sin(45) *  1 }{ 1.488} ]

      r_F  =  28.37^o

The angle between the blue beam and the red beam in the acrylic block

     \theta _d  =  r_C  - r_F

substituting values

       \theta _d  = 28.37 -  28.18

       \theta _d  =0.19 ^o

 

You might be interested in
A 6 kg tennis ball moves at a velocity of 14 m/s. The ball is struck by a racket, causing it to rebound in the opposite directio
Sergeeva-Olga [200]
Answer and method on photo

6 0
2 years ago
At the _______________ point, the particles in an object have not kinetic energy
Brums [2.3K]
The freezing point ..... :)
4 0
3 years ago
Wanna text in hangouts and Zo-om??Send me a contact request in zo-om using this em ail id
Blizzard [7]

Explanation:

suree

:]

3 0
3 years ago
Read 2 more answers
which do you think would be warmer on a winter day when there is no wind a thick forest or a grassy field? explain your answer
Tju [1.3M]
I think it would be warmer in a grassy field with no wind on a winter day because you'll have sunlight hitting you. However, if you were in a thick forest, all sunlight would be blocked and you would have no warmth from the sun. 
4 0
3 years ago
Read 2 more answers
Diferencie energia cinética de energia potencial gravitacional.
Vikentia [17]

Answer:

Featured snippet from the web

The atoms and molecules in it are in constant motion. The kinetic energy of such a body is the measure of its temperature. Potential energy is classified depending on the applicable restoring force. Gravitational potential energy – potential energy of an object which is associated with gravitational force

4 0
3 years ago
Other questions:
  • George determines the mass of his evaporating dish to be 3.375 g. He adds a solid sample to the evaporating dish, and the mass o
    13·1 answer
  • You are an engineer helping to design a roller coaster that carries passengers down a steep track and around a vertical loop. Th
    13·2 answers
  • A string is wrapped around a uniform cylinder of mass M and radius R. The cylinder is released from rest with the string vertica
    5·1 answer
  • What is indicated by the slope of an acceleration vs. time graph?
    7·1 answer
  • Psychological disorders:
    8·2 answers
  • A rectangular metal block measures 10cm x4 cm x 5cm. Given that the density of the
    9·1 answer
  • A block of mass 2 kg slides down ramp 1 with a height of 3 m. It then slides for 1 m on a surface with a kinetic coefficient of
    13·1 answer
  • Concave lens cause rays to _____.
    15·1 answer
  • elastic wire extend by 1.ocm when a load on 20g range from It, what additional load will it be required Cause the futher extensi
    7·1 answer
  • HELPPPPPPPPPPPPPP 70PTS NOT A LIE
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!