Shen Qi's heart sounded, and his hand was like a god:

Take oxy as the coordinates and divide the air into many thin layers parallel to the ground.

The refractive index of the thin layer where the object point p is located is n1.

The angle between light and ground normal is θ1.

The following layers are n2, θ2, n3, θ3 in turn...

According to the relationship between the law of refraction and geometry, there are:

(dy/dx)^2=1/sin^2θ-1

After the square is opened, dy/dx will take a negative value

Therefore: dx=-2n1/kanp*sinθ1*dφ/(φ^2-1)^1/2

Here you need to accumulate one point, and the final integral constant c is expressed as:

c=2n1sinθ1/kanp*arcosh(ke^a/2*h)

This is the equation of the light propagation trajectory that produces a mirage.

Through the explanation of physics and a small amount of mathematical processing, we can clearly find that the characteristic of a mirage is "if I change it, it will change, and eventually it will disappear."

If one day you are in the sea or desert, you are very lucky to encounter a mirage, don’t move, just put it in place and enjoy it quietly, confess your love to the girl around you at this romantic moment, and she will definitely accept your love happily.

From the equation of light propagation trajectory c=2n1sinθ1/kanp*arcosh(ke^a/2*h), we can see that if you don’t hold it and move in such a romantic courtship moment, then the mirage that is like a dream will appear and disappear from time to time and eventually disappear. Then the girl also ran away, nothing has happened, and the dream is shattered, what a pity.

The wonder of physics is that it uses simple and easy-to-understand equations to interpret complex and dreamy phenomena.

If physics and mathematics join forces, this powerful technique will turn a girl into a male god.

Learn more knowledge and one day it will come in handy.

When you reach the peak of human knowledge, hehe... Shen Qi smiled, and he wrote the answer on the test paper: c=2n1sinθ1/kanp*arcosh(ke^a/2*h)

After finishing the first fill-in-the-blank question, Shen Qi got the passion of last year's number competition, and he also deeply realized that mathematics and physics have their own beauty, and the two are closely linked.

Physics tries to bypass complex mathematical calculations and conquer the world with qualitative description and rough quantification, but this is impossible. The more advanced the field of physics, the more refined the mathematical processing required. Physics is a shell with amazing lethality, and the launch carrier determines the range, strike accuracy and destruction.

Mathematics is mostly stuck on paper and in the minds of mathematicians. It is like a powerful cannon, but there are no shells in the chamber. Once the shell is filled, bang! bang! Everything is possible. The shell that best matches mathematical cannon is of course physics.

Shen Qi knew this truth well. Contemporary mathematical gunners must be proficient in the art of various shells in order to shoot a good cannon with various postures.

The first question in the cpho rematch is the fill-in-the-blank question, and the next seven questions are all calculation questions.

The rematch is much more difficult than the preliminary round, and there are no multiple-choice questions, so the chance of blind misunderstandings has dropped significantly.

Question 2, calculation question, 16 points.

This is the problem of quantum physics, the preliminary quantum physics.

In the Cpho competition, high school players only need to know some basic concepts of quantum physics and can simply apply them. They don’t have to understand the principles in depth, nor do they have the ability to understand them in depth. Once this thing goes deeper, they either win the prize, go crazy, or win the prize in a crazy state.

The topic gives a bunch of data and constants, electron charge, electron mass, Bohr radius, Ridber energy, proton static energy...

In short, this pile of facial expression-like data describes a physical phenomenon: a sufficiently hot gas discharge will contain various ions, one of which is the atom with a nuclear charge of z, which is stripped away to only one electron.

There is also no schematic diagram. Shen Qi needs to find some useful clues from a large amount of data on the topic, and finally find the value of z and write down what element this is ions.

In the physics questions of mechanics, acoustics and electromagnetics of the field, the diagram often contains a lot of information that can be used. Reading the diagram is an important step in reviewing the questions. Quantum physics is different from them. There is no big difference between giving or not giving a diagram. Most of the work depends on the answerer's own mind.

There are many brain-burning branches of physics, among which top5 definitely has a place for quantum physics.

There is no connection between macroscopic optical refraction to microscopic ion capture, from mirage to electron ground state.

Physics contains too many things, Shen Qi switched to quantum mode and began to answer this 16-point calculation question.

The start of the rematch was a roadblock, and the second question was not easy.

First of all, Shen Qi needs to find inspiration from Heisenberg.

Heisenberg is not a place name. He is an outstanding German physicist and his contribution to quantum theory is second only to Einstein.

Heisenberg is a talented person, or even a physics genius. He won the Nobel Prize in Physics at the age of 31. Einstein was already in great difficulty when he won the Nobel Prize in Physics.

Historically, Heisenberg's evaluation was controversial. During World War II, he conducted scientific research and research on the atomic bomb for the German Nazis. Of course, the Americans were the first to create the atomic bomb and use it in actual combat.

Putting aside Heisenberg's political orientation, the "Heisenberg uncertainty principle" he proposed has a high status in the academic world.

Shen Qi first used the "Heisenberg Uncertainty Principle" to raid a wave, and let the only electron in a^(z-1)+ is in the ground state.

A little processing in this state can obtain the average value r0^2 of the square value of the electrons from the center of the nucleus.

This is a not complicated mathematical operation.

High school students participating in the rematch of the competition only need to know that r0^2 is defined as the sum of the squares of the uncertainty of the position coordinates (△x)^2, (△y)^2, and (△z)^2.

The requirement of an excellent high school competition is to be able to simply use the "Heisenberg Uncertainty Principle" without having to understand it in depth. Understanding it in depth is the business of college students, let's talk about it later.

According to the copy, Shen Qi obtained the average value of the square of electron momentum p0^2 in this state.

a^(z-1)+ ion captures an electron and emits a photon. This process must adhere to the conservation of energy and momentum.

Both conservation relationships contain the angular frequency w0 of the emitted photon, which constitute a system of equations containing w0.

By Heisenberg's Uncertainty Principle:

(△x)(△px)≥1/2?

(△y)(△py)≥1/2?

(△z)(△pz)≥1/2?

The energy conservation equation can be specifically expressed as:

1/2meve^2+1/2(m+me)v^2+e separation = 1/2(m+2me)μ^2+e’ separation +?w0

Next, a slightly complex mathematical operation needs to be implemented, which is not difficult for Shen Qi:

o(n_n)o meow o(╥﹏╥)o...

(The above formula is displayed in word as garbled, please make up for it, the author can do nothing)

In the eyes of outsiders, mathematics and physics research has not been much different from metaphysics.

Mathematicians and physicists do not need to use any written language to express their thoughts. They throw out a bunch of symbols whenever they disagree. Let’s read it for themselves. Once they understand, we will talk.

After a series of derivation calculations, Shen Qi finally got the value of z.

z=4

"This...z is equal to 4." Shen Qiluo thought and silently calculated in his mind, hydrogen, helium, lithium, beryllium, boron, carbon, nitrogen, oxygen, fluorine, neon...
Chapter completed!