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Recall the formula of refractive index
[tex]\sf \mu =\dfrac{sini}{sinr}[/tex]
i is angle of incidencer is angle of refractionAs per the diagram
At AD angle of incidence i is
[tex]\\ \rm\Rrightarrow \gamma=sin^{-1}\left(\dfrac{1}{\dfrac{n_1}{n_2}}\right)[/tex]
[tex]\\ \rm\Rrightarrow \gamma=sin^{-1}\left(\dfrac{n_2}{n_1}\right)[/tex]
That's reverse for BC tooAt AB's imaginary boundary line
Use snell's law
[tex]\\ \rm\Rrightarrow \dfrac{\mu_1}{\mu_2}=\dfrac{sin\alpha}{sin\beta}[/tex]
[tex]\\ \rm\Rrightarrow \mu_1sin\alpha=\mu_2sin\beta[/tex]
[tex]\\ \rm\Rrightarrow n_2sin\alpha=n_1sin\left(\dfrac{\pi}{2}-\gamma\right)[/tex]
[tex]\\ \rm\Rrightarrow n_2sin\alpha=n_1cos\left(sin^{-1}\left(\dfrac{n_2}{n_1}\right)\right)[/tex]
we need [tex]\sf \alpha[/tex][tex]\\ \rm\Rrightarrow sin\alpha=\dfrac{n_1}{n_2}cos\left(sin^{-1}\dfrac{n_2}{n_1}\right)[/tex]
[tex]\\ \rm\Rrightarrow \underline{\boxed{\bf{\alpha=sin^{-1}\left[\dfrac{n_1}{n_2}cos\left(sin^{-1}\dfrac{n_2}{n_1}\right)\right]}}}[/tex]
Option A
Related Questions
what forces are acting on the book?
Answers
Answer:
please specify you question well
A student jumps off a sled toward the NORTH after it stops at the bottom of an icy hill. Based on Newton's third law of motion, in which direction will the sled most likely move as the student jumps off?
A. North
B. West
C. East
D. South
Answers
When the student the sled jumps off toward the north , the sled most likely move towards the south.
What is the Newton third law?According to the Newton third law of motion, action and reaction are equal and opposite. This means that the direction of the reaction force must also be opposite to that of the action.
As such, when the student the sled jumps off toward the north , the sled most likely move towards the south.
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When a positively charged body touches a neutral body, the neutral body will
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Mr. huff and puff is getting ready to blow up a pool float because he can't find the air pump. he takes a big breath in after exhaling normally. the air he takes in is the
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Danielle is doing some diy. she uses a 1.2kw electric saw for 20 minutes and then a 1000w electric sander for half an hour. which job is the more expensive in terms of electricity used - sawing or sanding?
Answers
Based on the calculations, the electric sander (sanding) is the more expensive in terms of electricity used.
How to determine the more expensive?Mathematically, the quantity of energy consumed by an electrical device can be calculated by using this formula:
Energy consumption = power × time
For the electric saw, we have:
Power = 1.2 kW = 1.2 × 1000 = 1,200 Watts.Time = 20 minutes.Substituting the given parameters into the formula, we have;
Energy consumption = 1,200 × 20
Energy consumption = 24,000 Joules.
For the electric sander, we have:
Power = 1000 Watts.Time = half-hour = 30 minutes.Substituting the given parameters into the formula, we have;
Energy consumption = 1,000 × 30
Energy consumption = 30,000 Joules.
Therefore, the electric sander (sanding) is the more expensive in terms of electricity used.
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Answer: sanding
Explanation:
Energy used by saw = power × time = 1,200W × 1,200s = 1,440,000J.
Energy used by sander = power × time = 1,000W × 1,800s = 1,800,000J.
The sander uses more energy.
Where does solar energy wastes go
Answers
Answer:
Space
Explanation:
Solar energy is energy from the Sun. This energy is in form of radiation heat and light. When solar energy reaches a surface it bounces off. This is because they are radiation waves.
An engineer who is helping to design a tall building is studying the frequencies that seismic waves travel through the ground that the building will be built on. Why would she want to know about the frequencies of seismic waves?
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The frequencies of seismic waves will check if the presence of the waves have made buildings with weak foundations to be prone to destruction.
What is Frequency?This is defined as the number of occurrences of a repeating event per unit of time and the unit is hertz.
Knowing the frequency of the seismic wave is a good safety precaution which has to be taken to prevent loss of lives and properties.
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Answer:
If a seismic wave has the same frequency as the resonance of a building, the risk of damage is greatest.
Explanation:
What conclusions can you draw about how objects can exert forces on each other even when they are not in contact? write an evidence-based claim
Answers
The conclusions that can be drawn about how objects can exert forces on each other even when they are not in contact is due to Earth's gravitational force as proposed by Newton.
What is a non contact force?A non contact force is a type that occurs when two objects that are not in contact exerts force on each other.
This type of force is possible because of gravitational force of Earth.
Thus, the conclusions that can be drawn about how objects can exert forces on each other even when they are not in contact is due to Earth's gravitational force as proposed by Newton.
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Find the potential energy of a 40kg cart that is on a hill that is 10 meters high
Answers
Explanation:
P.E. = mgh
PE = 40 × 10 × 10
PE = 4000 Joule
A parallel-plate capacitor is connected to a battery. After it becomes charged, the capacitor is disconnected from the battery and the plate separation is increased. What happens to the potential difference between the plates
Answers
Answer:
V = E * d voltage equals charge on plates * separation
F = E q force on charge q equals electric field * charge
W = F * d work done equals force times the distance moved
From the very first equation, the voltage depends on the distance between the plates - while the electric field remains constant
The potential difference will decrease as the separation of the plates increases because W remains constant - work done in moving test charge from one plate to another is constant - voltage is constant
can anyone solve this quick?
Answers
Answer:
yes
Explanation:
First show me your or
PLANETARY MOTION: When the masses of two objects are doubled, which of the following would happen to the gravitational force between the two objects?
Answers
Answer:
So as the mass of either object increases, the force of gravitational attraction between them also increases. If the mass of one of the objects is doubled, then the force of gravity between them is doubled.
Explanation:
Welcome
Which of the following would have the smallest coefficient of kinetic friction when slid along your hang.
a Bar of Soap
carpet
sand paper
Answers
In the reaction below, how would adding more of product C affect the equilibrium of the system? (2 points) A + B ⇄ C + D Group of answer choices Shift it to the right toward the products. Shift it to the left toward the reactants. Equally create more products and reactants. It would have no effect.
Answers
Answer:
identify the action reaction force in the following cases
a boy walking on the ground
firing a bullet from the gun
a book lying on the table
a boy swimming in the swimming pool
launching of a rocket from the earth surface
Answer:
A Shift it to the right towards the products
Explanation:
If more reactants or products are added to a reaction system at equilibrium, the equilibrium will shift away from what was added to lower its concentration. If a reactant or product was removed from a reaction system at equilibrium, the equilibrium systems will shift to replace some of what was removed.
The law of conservation of momentum states that, if left alone, what happens to the total momentum of two interacting objects that make up a system?
Answers
Answer:
The momentum of the colliding bodies before and after the collision remains constant.
Explanation:
The momentum is constant.
Maria throws two stones from the top edge of a building with a speed of 20 m/s. She throws one straight down and the other straight up. The first one hits the street in a time t1. How much later is it before the second stone hits
Answers
Maria throws two stones from the top edge of a building at a speed of 20 m/s, The time is mathematically given as
t=4.5 sec.
How much later is it before the second stone hits?Generally, the equation for speed is mathematically given as
V = u+at
Therefore
0 = 22-9.8xt.
t = 22 /9.8 sec
t = 2.24489.
The same time will be taken from max^m height to point O
The extra time is taken
t=4.49 sec.
t=4.5 sec.
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A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. the sign has mass m.
required:
a. what is the moment of inertia of the sign for rotation about the side of length h?
b. if m = 4.40 kg ,b = 1.30 m and h = 1.30 m , what is the kinetic energy of the sign when it is rotating about an axis along the 1.30-m side at 2.40 rev/s ?
Answers
(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².
(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.
Moment of inertia of the triangular sign
The moment of inertia of the sign for rotation about the side of length h is calculated as follows;
I = 2 x ¹/₃M(b/2)²
I = 2 x ¹/₃Mb² x ¹/₄
I = ¹/₆Mb²
I = ¹/₆ x 4.4 x 1.3²
I = 1.24 kgm²
Rotational kinetic energy of the ballK.E(rot) = ¹/₂Iω²
where;
ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/sK.E(rot) = ¹/₂(1.24)(15.1)²
K.E(rot) = 141.37 J
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A 20 gram bullet exits the rifle at a speed of 985 m/s. the gun barrel is 0.8 m long. what
was the force during the rocket's launch?
Answers
Hello!
We can use the following relationship:
[tex]\Delta KE = W = F \cdot d[/tex]
ΔKE = Change in Kinetic Energy (J)
W = Work done on object (J)
F = Force (N)
d = distance of which the force is applied to the object. (This is equivalent to the length of the gun barrel, or 0.8 m)
Also, recall that:
[tex]KE = \frac{1}{2}mv^2[/tex]
m = mass of bullet (0.02 kg)
v = velocity of bullet (vfinal = 985 m/s, vinitial = 0 m/s)
We can now solve.
[tex]\Delta KE = F \cdot d\\\\KE_f - KE_i = F \cdot d\\\\\frac{1}{2}(0.02)(985^2) - \frac{1}{2}(0.02)(0^2) = (0.8)F\\\\9702.25 = 0.8F\\\\F = \frac{9702.25}{0.8} = \boxed{12127.813 N}[/tex]
Which arrow represents the change of state described
above?
M
N
P
Q
Answers
Answer: The Q arrow
Explanation: when the solid is heated it changes into a liquid state first this action represented the Q arrow
Answer:
Its D
Explanation:
Bc i got it right on edge
Direction:choose only the letter of your answer in the box.
A-Everyday
B-4-6 Times a week
C-2-3 Times a week
D-cut Down on
Answers
Answer:
A,
Explanation:
im going to choose a because they should probably still water it so it doesn’t die at least until it grows or gets a little bigger.
Which two statements are true of electromagnetic waves?
Answers
Answer:
I think it is A and D
Explanation:
How does chemical bonding work?
Answers
Answer:
A chemical bond is a force of attraction between atoms or ions. Bonds form when atoms share or transfer valence electrons. Valence electrons are the electrons in the outer energy level of an atom that may be involved in chemical interactions. Valence electrons are the basis of all chemical bonds.
Where do the three rays in a ray diagram start?
at a focal point on the opposite side of the lens
at three different points on the object
at a focal point on the same side of the lens
at a single point on the object
Answers
The three rays in a ray diagram start from a single point on the object.
What is focal point of a lens?The focal point of a lens is the point where light rays parallel to the axis are brought to a point.
The focal point is responsible for the converging of light rays coming from the object but the rays do not start here.
Thus, the three rays in a ray diagram start from a single point on the object.
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Answer:
D
Explanation:
can you guys help me please
brainliest if correct answer
Answers
A 4.0-W resistor, an 8.0-W resistor, and a 10.0-W resistor are connected in series across an 11-V battery. What is the total voltage drop across the 4.0-W and 8.0-W resistors?
Answers
Which statement describes the magnetic field inside a bar magnet?
O It points from north to south.
• It points from south to north.
O It forms loops inside the magnet.
• There IS no field within the magnet.
Answers
The statement that describes the magnetic field inside a bar magnet is as follows: it points from north to south.
What is a bar magnet?A bar magnet is a permanent magnet of rectangular shape.
A magnet generally possess a magnetic field, which is a condition in the space around a magnet which there is a detectable magnetic force and the presence of two magnetic poles.
A bar magnet like every other magnet possesses a magnetic field that points from the north pole to the south pole.
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The sun produces visible light with different wavelengths. As wavelengths become longer,which of the following properties of the waves decreases?
Answers
Answer:
As wavelengths increase, the frequency of waves decreases.
Explanation:
As wavelengths increase, the frequency of waves decreases.
When there are longer waves, you could think of them as taking up more time to pass. For example, if there are really long waves (not talking about amplitude) at a beach, you could watch one up-and-down wave for a long time. If there are really short waves, you could watch many waves go by in a short time frame.
Hypothesis: In this section, please include the predictions you developed during your lab activity. These statements reflect your predicted outcomes for the experiment.
Moon One contains the elements
Element 1
Element 2
Moon Two contains the elements
Element 1
Element 2
Answers
The lab activity is not found here but a hypothesis is a given explanation of an observation from the real world.
What is a hypothesis?A hypothesis is a scientific and testable explanation for an observation made by observing the real world.
Hypotheses must be falsifiable, it means that they can be confirmed or rejected by using the scientific method.
In conclusion, the lab activity is not found here but a hypothesis is a given explanation of an observation from the real world.
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The distance between a charge and the source of an electric field changes from 3 mm to 6 mm. as a result of the change, the electric potential energy of the charge is .
Answers
The electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.
What is electric potential energy?Electric potential energy can be defined as the energy needed to move a charge against an electric field.
It is calculated using the formula;
U = Kq1 q2 ÷ r
Where Q = electric potential energy
k = Coulombs constant
q1 and q2 = charges
r = distance of separation
Electric potential energy is inversely proportional to the distance of separation of the charges.
If the distance of the charges changes from 3mm to 6mm, then the electric potential energy of the charges is reduced because it decreases with increase in the distance of the charges.
Therefore, the electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.
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Answer: B
Explanation: divided by 2
3) A photon is emitted as the electron in a hydrogen
atom drops from the n = 5 energy level directly to
the n = 3 energy level. What is the energy of the
emitted photon?
(1) 0.85 eV
(2) 0.97 eV
(3) 1.51 eV
(4) 2.05 eV
Answers
From the information provided and the calculations, the energy of the drop is 1.51 eV
What is the Rydberg formula?The Rydberg formula is used to obtain the energy of a photon or the wavelength of a photon.
Thus;
1/λ = 1.097 * 10^7 (1/3^2 - 1/5^2)
1/λ = 1.097 * 10^7(0.11 - 0.04)
λ = 1.3 * 10^-6 m
Since;
E = hc/λ
E = 6.6 * 10^-34 * 3 * 10^8/1.3 * 10^-6
E = 1.51 * 10^-19 J or 1.51 eV
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Answer:
0.97eV
Explanation:
The energy emitted during n=5 is 0.54 eV
The energy emitted during n=3 is 1.51 eV
(This information is on the Physics Reference Table 2006 edition)
We find the change in the energy level which is:
1.51eV-0.54eV = 0.97eV
Therefore the energy emitted by the photon is 0.97eV.