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
Verizon [17]
3 years ago
10

What is the angle of incidence in air of a light ray whose angle of refraction in glass is half the angle of incidence? Show pro

of and calculations.
Physics
1 answer:
jekas [21]3 years ago
8 0

Answer:

θ₁ = cos⁻¹ (n₁ / 2n₂)

Explanation:

For this exercise let's use the law of refraction

       n₁ sint θ₁ = n₂. sin θ₂

Where n₁ and n₂ are the refractive indices for the two media, θ₁ and θ₂, the angles of incidence and refraction

They tell us that the angle of incidence is equal to the angle refracted over 2

    θ₁ = θ₂ / 2

    θ₂ = 2 θ₁

Let's replace

    n₁ sin θ₁ = n₂ sin θ₂

Let's use the trigonometry relationship

    sin 2θ = 2 sinθ cos θ

    n₁ sin θ₁ = n₂ (2 sin θ₁ cos θ₁)

    n₁ = n₂ cos θ₁

    cos θ₁ = n₁ / 2 n₂

    θ₁ = cos⁻¹ (n₁ / 2n₂)

Therefore, the angle of incidence is

   θ₁ = cos⁻¹ (n₁ / 2n₂)

You might be interested in
What type of relationship exists between the length of a wire and the resistance, if all other factors remain the same? A. Resis
ZanzabumX [31]
<h3>Answer</h3>

(A) Resistance is directly related to length.

<h3>Explanation</h3>

Formula for resistance

R = p(length) / A

where R = resistance

           p = resistivity(material of wire)

           A = cross sectional area

So it can be seen that resistance depends upon 3 factors that are length of wire , resistivity of wire and the cross sectional area of the wire.

If two of the factors, resistivity and cross sectional area, are kept constant then the resistance is directly proportional to the length of wire.

<h3> R ∝ length</h3>

This means that the resistance of the wire increases with the increase in length of the wire and decreases with the decrease of length of the wire.

5 0
3 years ago
A 1.80-kg monkey wrench is pivoted 0.250 m from its center of mass and allowed to swing as a physical pendulum. The period for s
asambeis [7]

Answer:

I=0.0987kg.m^2

Explanation:

From the question we are told that:

Mass M=1.80kg

Deviation d=0.250

Time t=0.940s

Generally the equation for moment of inertia is mathematically given by

 I=\frac{T}{2\pi}^2(mgd)

 I=\frac{0.94}{2.3.142}^2(1.80*9.8*0.250)

 I=0.0987kgm^2

5 0
3 years ago
ASAP please 25 points if right
garik1379 [7]

Answer:

1. The resistance of any physical object to any velocity

2. It continues in it's existing state of rest or uniform motion

3. Mass is a quantity that is solely dependent upon the inertia of an object.

5 0
3 years ago
Which of the following is a scientific law?
Varvara68 [4.7K]

Answer:

B. For a gas in a closed container at a constant temperature, the product of the pressure and the volume remains constant.

Explanation:

The rest are societal laws, as they are telling you something you should avoid or follow.

Hope this helps :)

7 0
3 years ago
Read 2 more answers
Equation of uniformly accelerated motion​
Romashka [77]

This means acceleration a is constant.

Let

a) vo be the initial speed, at t=0

b) v be the final speed after time t

c) d distance travelled in time t

Then we have:

a) v=vo+a×t

b) v²=vo²+2×a×d (Galilei's equation)

c) d=vo×t+a×t²/2

d) average speed vm=(vo+v)/2

3 0
3 years ago
Other questions:
  • Identify at least two ways that runoff can negatively impact an ecosystem.
    8·1 answer
  • Two plane mirrors are separated by 120°, as the drawing illustrates. If a ray strikes mirror M1 at a θ1 = 64° angle of incidence
    14·1 answer
  • If the speed of an object triples how does this affect its kinetic energy
    11·1 answer
  • Martin has severe myopia, with a far point on only 17 cm. He wants to get glasses that he'll wear while using his computer whose
    11·1 answer
  • The weight of any object due to the downward force of what?
    13·2 answers
  • What part of the plant gives sugar
    15·1 answer
  • 1.
    8·1 answer
  • Fill in the table below with the properties of acids and bases.
    10·1 answer
  • The increasing speed of a falling object is caused by
    14·1 answer
  • Describe the kinetic molecular theory
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!