A ray of light, incident on an equilateral glass prism of refractive index √3, moves parallel to the base line of the prism inside it. Find the angle of incidence​

Answers

Answer 1

As the ray of light moves parallel to the base line of the prism inside it, so angle of refraction = r = 30° (equilateral prism)

Now, we know that:

[tex]{:\implies \quad \sf \sin (i)=\mu \sin (r)}[/tex]

[tex]{:\implies \quad \sf \sin (i)=\sqrt{3}\sin (30^{\degree})}[/tex]

[tex]{:\implies \quad \sf \sin (i)=\dfrac{\sqrt{3}}{2}}[/tex]

[tex]{:\implies \quad \sf \sin (i)=\sin (60^{\degree})}[/tex]

Therefore, angle of incidence is 60°

Answer 2

Given ,

[tex]r = \sqrt{3}[/tex]

Now ,

[tex] \longrightarrow \sin(i) = \sqrt{3} \: \sin(30°)[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\longrightarrow \sin(i)= \sqrt{ \frac{3}{2} }[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \longrightarrow \: i = 60°[/tex]

The angle of incidence is 60°.


Related Questions

Differentiate amihan and habagat

Answers

Answer:

Amihan is known as the Northeast monsoon while Habagat is known as the Southwest monsoon.

Which formula represents Snell's law?
On₁ +sine₁ = n₂+ sing₂
n₁sine₁ =n₂sin82
On₁cose₁ = n₂cose₂
n₁ + cose₁ = n₂+ cose ₂

Answers

Answer:

Snell's Law:    N1 sin θ1 = N2 sin θ2

n1 sine1 = n2 sin 82 fits this description

The formula that represents Snell's law is n₁sinθ₁ = n₂sinθ₂. Thus, the correct solution is option B.

What is Snell's law?

When light rays from one medium enter into another medium (rarer to denser medium), the speed of light rays is decreased when light rays enter from rarer to denser medium. This is called as refraction of light rays.

The laws of refraction give Snell's law. The ratio of the sine of the angle of incidence and the ratio of the sine of the angle of refraction is equal to constant (μ) is called Snell's law.

The Snells law, sin i / sin r = μ, where i is the angle of incidence and r is the angle of refraction. μ is the refractive index of the medium. The refractive index remains constant for the medium.

From the given,

Snell's law is written as, sin i / sin r = n₁/n₂, where n₁ and n₂ is the refractive index of the medium. Thus, n₁sin(i) = n₂sin(r).

Thus, the ideal solution is option B.

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Which of the following is an example of a chemical change?

a
Boiling water

b
Burning paper

c
Dissolving sugar in water

d
Melting gold

Answers

b. burning paper

hope it helps

PLE HELP

What is the best description of temperature?

Temperature is the same thing as heat.
Temperature measures the number of Kelvins in a substance.

Temperature is the measurement of kinetic energy (movement of molecules).

Temperature only measures an increase in heat energy.

Answers

Temperature is a measurement of the average kinetic energy of an object’s molecules

An elevator is moving with an acceleration of 2.5 m/s. Find the tension in the cables if the total mass of a man and elevator is 80kg. When;
a) Moving up
b) Moving down​

Answers

The tension in the cables are :  a) 984 N when moving up,

b) 584 N when movng down

Given data:

mass = 80 kg

Acceleration = 2.5 m/s

Determine the tension in the cables

A) When moving up

Tension in the cable = m*g + m*a

                                  = 80 * 9.8 + 80 * 2.5

                                  =  984 N

B) When moving down

Tension in the cable = m*g - m*a

                                  = 80 * 9.8 - 80 * 2.5

                                  = 584 N

Hence we can conclude that the tension in the cable are 984 N moving up and 584 moving down.

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light from proxima centauri takes 4.3 years to reach the earth. How far away is the Proxima Centauri?

Answers

Answer:

4.246 light years

Explanation:

4.246 light years

The closest star, Proxima Centauri, is 4.24 light-years away. A light-year is 9.44 trillion km, or 5.88 trillion miles. That is an incredibly large distance. Walking to Proxima Centauri would take 950 million years.

HOPE IT HELPS.

PLEASE MARK ME AS BRAINLIEST.

Answer:

4.25 light years

Explanation:

a light year is the distance light travels in one year it is equal to 9.461 x 1012 km. alpha centauri A & B are roughly 4.35 light years away from us. proxima centauri is slightly closer at 4.25 light years.

An object has moved through a distance. Can it have zero displacement? Justify your answer.PLEASE I WILL MARKK AS BRAINLIESTT

Answers

Answer:

Explanation:

yes object can move through a distance  and can have zero displacement  

as displacement is the shortest distance between two points eg: if a person has moved a distance of 20 m and comes back to his original place by moving back 20m in such a case  distance moved by the person is 40m but his displacement is 0 as shortest distance covered by him is 0 as he is in his original place

Yes, it is possible for a body to have traveled a distance yet have a displacement of zero.

Distance traveled by a body is the length of the path covered by it.

On the other hand displacement of a body is the shortest distance between the initial and the final point of a body.

When a body is traveling such that it ends at the point from where it started its journey, it covers a distance but the displacement of the body is zero.

So a body that has moved through a distance can have zero displacement.

Suppose u are running at constant velocity and wish to throw a ball such that you Will catch it as it comes back down.
in what direction should you throw aball relative to you?

Answers

Answer:

straight up

Explanation:

the ball will move at the same speed as you are and in the same direction as you are if you simply throw it straight up as you move

Explain how the charges on objects determine the electric force between them?

Answers

Answer:

1. Objects with the same charge repel each other

2. The objects in interaction A are farther apart

3. The atoms in glass hold on tightly to their NEGATIVELY charged particles

4. Insulators have high resistance, while conductors have low resistance

5. If the current in circuit Q is greater than the current in circuit B then the resistance in circuit A is LESS THAN the resistance in circuit B

6. The resistor decreases the current by transforming electrical energy into different types

7. Electrical energy from the outlet is converted to heat and light energy for the toaster

8. Energy from the sun might be greater than the energy needs of the house, so some will be stored or wasted

9. The switch is open

10. Load

11. P, Q, R

12. When a current runs through a conductor

13. You're on your own.

Explanation:

Consider an object of mass 2kg at rest on a ramp with =0.5 and =0.4.
If the ramp angle is 60 degrees, how far can the object travel in the first 3 seconds?


Give your answer in m with 1 decimal place.

Answers

The distance travelled by the object in the first 3 seconds will be 29.4 m.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The equation of the motion along the inclined plane;

[tex]\rm mg sin \theta - F_k = ma \\\\ 2 \times 9.81 \times sin 60^0 -3.929 = 2a \\\\ a= 6.533 \ m/sec ^2[/tex]

The distance traveled by the block for the given time interval ,t=3 sec is ;

[tex]\rm S= ut+ \frac{1}{2}at^2 \\\\ S= 0 \times 3 + \frac{1}{2} \times 6.533 \times (3)^2\\\\ S=29.4 \ m[/tex]

Hence,the distance travelled by the object in the first 3 seconds will be 29.4 m.

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Work _____ energy.
A. reduce
B. reflects
c. transfers
D.stops

Answers

Answer:

b

Explanation:

Answer:

C. transfers.

Explanationbecause ive done this question before lol

Which of the following gives good evidence for the particle nature of EM radiation?

Answers

Answer:

1. Which of the following gives good evidence for the particle nature of EM radiation?

-photoelectric effect

2.Which of the following gives good evidence for the wave nature of EM radiation?

-interference patterns

3.When studying the photoelectric effect, which parameters did scientists think were relevant for electrons to be released or not in both the wave and particle models?

-frequency and intensity for the wave model; frequency only for the particle model

4.The image represents the gaps between allowed energy levels for electrons. Which model best describes this phenomenon?

-the particle model because the arrows represent discrete particle-like jumps

5. Which subatomic particle has the smallest mass?

-electron

6.The atomic number on the periodic table refers to the number of _____ within an atom.

-protons or electrons

7.Considering that an up quark has a charge of  +23 and a down quark has  charge of −13, which of the following represents the correct quark combination for a proton?

-2 up, 1 down

8. If an atom gives off electromagnetic radiation with a frequency of 2.0×1015s−1, what is the radiation’s energy?

-1.3×10−18 J

9. A nuclide of phosphorus 3015P decays into a nuclide of silicon 3014Si. In order to satisfy charge conservation and lepton number conservation the other products must be __________.

-a positron and an antineutrino

10.In a gamma decay process __________.

-a parent nuclide was in an excited state

11.Nuclide X has a higher rate of decay than nuclide Y.  Based on this information, which of the following statements must be true?

- Nuclide Y has a larger half-life than nuclide X.

12. A microwave has a typical wavelength of about 0.1 meter. What is the comparable wavelength of a radio wave?

-Greater than 0.1 meter.

13.A satellite phone can be used to place a call from virtually anywhere in the world. What type of wave does the satellite phone likely transmit to the satellite orbiting above Earth?

-radio wave

14.The speed of a light wave c is related to its wavelength λ and its frequency f by c=λf. If the speed of light is 3×108 meters/second and the wavelength of an infrared wave used in a remote control is 7×10−9 meters, then what is its frequency?

-4×1016 Hz

15.In what way does a lead apron protect human cells from X-rays?

-In what way does a lead apron protect human cells from X-rays?

16.Why are children more susceptible to the effects of ionizing radiation?

-They have many growing cells that can easily have DNA damaged.

17.Which statement is correct about the half-lives of radioactive elements?

-The half-lives of radioactive elements vary from fractions of a second to billions of years.

18.Source A has a half-life of 10 million years, and source B has a half-life of 5 million years. After 10 million years, what percent of each source remains?

-50% of source A and 25% of source B

19.The probability that a randomly chosen nucleus in a radioactive sample will have decayed in a given time is 96.875%. How many half-lives has the sample experienced?

-5

20.A radioactive sample starts with 800,000 undecayed nuclei. After 12 hours, 700,000 of the nuclei have decayed. What is the half-life of the sample?

- 4 hours

21.How did the development of electrical signals sent through wires change communication?

-Signals could be sent anywhere a wire could reach and no longer were restricted to line of sight.

22. Essay

23.Essay

24.Essay

25.Essay

26.Essay

Explanation:

100% correct

One phenomenon which well presents the idea of wave particle duality is the photoelectric effect.

What is wave particle duality?

The term wave particle duality has to do with the fact that a wave can behave sometimes as a wave and sometimes as a particle. This was well established by the work of De Broglie.

One phenomenon which well presents the idea of wave particle duality is the photoelectric effect.

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A coil with 50 turns of wire is wrapped around a hollow tube with an area of 3.6 m2. Each turn has the same area as the tube. A uniform magnetic field is applied at a right angle to the plane of the coil. If the field increases uniformly from 0.00 T to 0.88 T in 1.85 s, find the magnitude of the induced emf in the coil. If the resistance in the coil is 5.0 Ω, find the magnitude of the induced current in the coil.

Answers

Hi there!

Using Faraday's and Lenz's Law:
[tex]\epsilon = -N\frac{d\Phi_B}{dt}[/tex]

ε = Induced emf (V)

N = number of loops/turns
Φ = Magnetic flux (Wb)

Magnetic flux is given as:
[tex]\Phi_B = \oint B \cdot dA = B\cdot A[/tex]
Since the area of the loops remains constant, we can take area out of the time derivative. Thus:
[tex]\frac{d\Phi_B}{dt} = A * \frac{dB}{dt} = A * \frac{\Delta B}{\Delta t}[/tex]

Also, since the magnetic field is applied at a right angle to the plane of the coil, that means that the field is PARALLEL to the area vector of the plane of the coil. (points normal to the surface). This means we can disregard the dot product since cos(180) = 1.

Plug in the given values.

[tex]\epsilon = - 50 * 3.6 * \frac{0.88 - 0}{1.85} = -85.622 V[/tex]

The negative sign simply means that the induced emf is in the opposite direction in order to oppose the increase in magnetic flux, so the magnitude is simply:

[tex]\epsilon = \boxed{85.622 V}[/tex]

For the current, we can use Ohm's Law:
[tex]i = \frac{\epsilon}{R}\\\\i = \frac{85.622}{5} = \boxed{17.124 A}[/tex]

which statement best describes balancing equations and the law of conservation of mass?
There are more atoms in the reactants than in the products, and the total mass is the same in the reactants and in
The number of atoms is the same in the reactants and in the products, and the total mass is the same in the
reactants and in the products.
There are fewer atoms in the reactants than in the products, and the total mass is less in the reactants than in the
There are more atoms in the reactants than in the products, and the total mass is higher in the reactants than in
the products
Go

Answers

Answer:

The number of atoms is the same in the reactants and in the products, and the total mass is the same in the reactants and in the products.

A student rubs one side of an inflated balloon on her hair. This side of the balloon becomes positively charged. Explain this.

Answers

Answer:

Friction

Explanation:

Friction between two conductive objects creates static energy in this example making the hair stick up as if it is connected to the balloon. Hope this helps!

How would you throw an egg without breaking it?
A. Boil the egg
B. Throw it against a net
C. Throw it against the rotation of the Earth
D. Freeze the egg

Answers

Answer:

b. throw it against a net i think

According to kinetic theory, which two factors are important for a successful reaction to occur?

Answers

Answer:

Molecules must collide with sufficient energy, known as the activation energy, so that chemical bonds can break. Molecules must collide with the proper orientation.

Explanation:

A collision that meets these two criteria, and that results in a chemical reaction, is known as a successful collision or an effective collision.

Kyle travels at an average speed of 64km/h to get from his home to the Maryborough show. Determine
how many minutes (to 2 decimal places) this would take if the distance Kyle needed to travel was
37.6km.

Answers

t = d : v

t = 37.6 km : 64 km/h

t = 0.5875 h = 35.25 min  

(b) After 2.0 second the box is being pulled by a constant force 12 N. Determine the size of frictional forces acting on the box at this time.

Answers

The frictional forces acting on the box at this time will be 2.88 N.

What is the friction force?

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).

Mathematically, it is defined as the product of the coefficient of friction and normal reaction.

The reaction force on the box is;

R=mg

R=F

R=12 N

The friction force is;

F=μR

F=0.24×12

F=2.88 N

Hence,the frictional forces acting on the box at this time will be 2.88 N.

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A wire carrying 0.244 A of current is
0.0870 m from a compass. How
much magnetic field does it create
there?
[?] x 10!?!T

Answers

The magnetic field created by the wire at the given position is determined as 5.61  x 10⁻⁷ T.

Magnetic field created by the wire

The magnetic field created by the wire is calculated as follows;

B = μI/2πr

where;

μ is permeability of free spaceI is current in the wirer is distance of the wire

B = (4π x 10⁻⁷ x 0.244) / (2π x 0.087)

B = 5.61  x 10⁻⁷ T

Thus, the magnetic field created by the wire at the given position is determined as 5.61  x 10⁻⁷ T.

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Compared to a soft sound, a loud sound at the same pitch....(check all true statements)

a. has a greater wavelength
b. carries more energy
c. has more speed

Answers

Answer:

One might think of a plucked guitar string - the sound would depend on the original amplitude of the disturbance -

Speed and velocity would still be the same

(b) is correct because the energy transfer depends on the original energy applied.

What do we call a group of objects that orbit a star?

Answers

Orbit is the rotation of one body over the other. The group of objects that orbit a star is called as planet.

What is star?

Star is a small planet which shine son its own.

The large object or group of object that orbits the star is known as the planet. The planet is a large round spherical shaped object and massive.

Thus, . The group of objects that orbit a star is a planet.

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what is the radius of the 5th orbital in hydrogen?

Answers

Answer:

So, the radius of fifth Bohr orbital of hydrogen is 1. 3225 nm.

Explanation:

pls mark me brainless hope this helps loves x!

[tex]\\ \rm\Rrightarrow r=0.529\dfrac{n^2}{Z^2}[/tex]

For hydrogen Z=1

[tex]\\ \rm\Rrightarrow r=0.529(5)²[/tex]

[tex]\\ \rm\Rrightarrow r=0.529(25)[/tex]

[tex]\\ \rm\Rrightarrow r=1.3225nm[/tex]

Explain why rubbing one side of a metal sphere does not cause it to become charged.

Answers

The reason is that in a metal the charges are free to move inside the material.

Which of the following is a function of the cardiovascular system?
A. transportation of oxygen
B. removal of carbon dioxide
C. assistance with immune function
D. All of the above

Answers

Answer:

D

Explanation:

The CV system does all of the above

A current of 2A flows for 2minutes through the wire in a motor. (1) how much charge passes through a wire this time​

Answers

Answer:

240 C

Explanation:

Given:

I = 2At = 2 minutes = 120 seconds

To find:

Charge passing through the wire (Q)

Solution: Formula relating Q, I and t is given as:

Q = It Plugging the values of I and t in the above equation, we find:Q = 2 * 120-> Q = 240 C

Thus, 240 Coulomb charge will pass through the wire.

Students measure how far a snail can travel per minute. The graph shows their data. What is the speed of the snail?

Answers

Answer:

4.00 cm/min

Explanation:

v=d/t

v=10/2=20/4=30/6=5 cm/min

PLS HELP! Answer these questions pls. I will mark BRAINLIEST, FIVE STARS AND THANKS. The second question in the pic has three answers. *50 POINTS!*

Answers

Answer:

First one is hydrogen and oxygen

Second one is color change, solid dissolves, and temperature increases

Explanation:

Electrolysis is the process of using electricity to decompose water into hydrogen and oxygen.

Odors and change of states are physical changes while the rest are chemical changes.

Hope this helped!

For question one it’s Hydrogen and Oxygen!
For the second question , it’s colour change since the temperature increases

For the first one the general idea is that Hydrogen molecules violently react with oxygen when the existing molecular bonds break and new bonds are formed between oxygen and hydrogen atoms. As the products of the reaction are at a lower energy level than the reactants, the result is an explosive release of energy and the production of water

Second one is harder to remember but, changes of state (colour) are physical changes whereas the other changes are purely chemical

a wave with a frequency of 500hz is traveling at a speed of 1000m/s whats the wavelength?

Answers

The answer would be 0.4m

(50 Points) Will Mark Brainliest

Explain how an electric current affects the charged atoms in a piezoelectric crystal and how this allows the crystal to push a robotic forward

Answers

Answer:

Certain crystals such as quartz are piezoelectric. That means that when they are compressed or struck, they generate an electric charge. It works the other way as well: If you run an electric current through a piezoelectric crystal, the crystal changes shape slightly.

Explanation:

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