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
Katena32 [7]
3 years ago
12

Given a 45 45 90 prism with index of 1.5, immersed in air. The hypotenuse acts as the reflecting face by TIR. A ray of light ent

ers horizontal (perpendicular to one of the non- hypotenuse faces) hitting the hypotenuse at 45º and is reflected. If the original ray is now the center of a converging bundle of rays, converging toward the original intersection point on the hypotenuse, what full convergence angle (in air) is allowed, if TIR at the hypotenuse is to be preserved for the whole bundle of rays?
Physics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

83.6°

Explanation:

For the ray to be totally internally reflected, at the boundary, the angle of refraction is 90. Using the law of refraction where

n₁sinθ₁ = n₂sinθ₂ where n₁ = refractive index of prism = 1.5, θ₁ = critical angle in prism, n₂ = refractive index of air = 1 and θ₂ = refractive angle = 90°.

So, substituting these values into the equation,

n₁sinθ₁ = n₂sinθ₂

1.5 × sinθ₁ = 1 × sin90

1.5 × sinθ₁  = 1

sinθ₁ = 1/1.5

sinθ₁ = 0.6667

θ₁  = sin*(0.6667)

θ₁  = 41.8°

So, for total internal reflection, an incidence angle of 41.8° is required. So, a full convergence angle of 2 × 41.8° = 83.6° is required for the whole bundle of rays.

You might be interested in
Death Star has a diameter of 160,000m and a mass of 5.1e17kg. Millennium Falcon has a mass of 1.36e6kg (data from Wookieepedia)
lions [1.4K]

Answer:

7229 N

Explanation:

The gravitational force between the Death Star and the Millenium Falcon is given by:

F=G\frac{mM}{R^2}

where

G=6.67\cdot 10^{-11} m^3 kg^{-1} s^{-2} is the gravitational constant

M=5.1\cdot 10^{17} kg is the mass of the Death Star

m=1.36\cdot 10^6 kg is the mass of the Millennium Falcon

R=\frac{160,000 m}{2}=80,000 m is the radius of the Death Star

Substituting numbers into the equation, we find the force

F=(6.67\cdot 10^{-11})\frac{(1.36\cdot 10^6 kg)(5.1\cdot 10^{17} kg)}{(80,000 m)^2}=7229 N

5 0
3 years ago
Which chemical reaction absorbs energy?
andre [41]
Photosynthesis. Photosynthesis is the process the plant uses to absorbs light to make food
8 0
3 years ago
Read 2 more answers
a DJ uses a 110-volt outlet to plug in a strobe light. if the current flowing through the light is 0.050 amps, how much resistan
tigry1 [53]

Ohms Law: V = IR

V is the voltage in volts

I is the current in amps

R is the resistance in Ohms

Rearrange: R = V/I

R = (110)/(0.050)

R = 2200

There are 2200 Ohms of resistance in the circuit.

5 0
3 years ago
Which simple experiment could be conducted to show an example of how lightning is created? A) Rub a balloon so it picks up extra
alexandr1967 [171]

I think the answer is d

7 0
2 years ago
Students will explain, distinguish the difference between the 4 states of matter
vitfil [10]
What?                                what what what what
7 0
3 years ago
Other questions:
  • A 10.0 cm object is 5.0 cm from a concave mirror that has a focal length of 12 cm. What is the distance between the image and th
    9·2 answers
  • A reaction that releases heat is:<br> endothermic<br> exothermic<br> none of the above
    5·1 answer
  • If an antelope can run 14.1 km in 39 min, how fast is it km/h(for reference , 110 km/h is 65 mph )
    8·2 answers
  • What is the desired tone of an instrument called?
    10·2 answers
  • Why is gasoline so flammable
    8·2 answers
  • The amount of force needed to keep a 0.5 kg football moving at a constant speed of 8 m/s
    11·1 answer
  • Use the concepts of kinetic energy and potential energy to describe the motion of a child on a swing. Why does the child need a
    15·2 answers
  • Drag each label to the correct location. Sort the sentences based on whether they describe the properties of a heterogeneous or
    9·1 answer
  • Please help- it’s a 15 point change to my grade.
    5·1 answer
  • According to you who was more genius Albert Einstein or Newton?​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!