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Chapter 183 Finale Three Questions, Done Easily!
The original title is as follows...

"In the classic model of the hydrogen atom...

The electrons move in a circle around the nucleus, and the centripetal force of the electrons comes from the action of the nuclear electric field.

但是经典的电磁理论讲明电子做加速运动会发射电磁波，其发射功率可表示为(拉莫尔公式)：P=e^2*a^2/6πc^3E0。

其中a为电子的加速度，c为真空光速，Eo=1/4πk=8、854x10^-12Fm^-1，电子电荷量绝对值e=1、602x10^-l9C。

1：假设不考虑相对论效应，试估量在经典模型中氢原子的寿命τ。(实验测得氢原子的结合能是E=13、6eV，电子的静止质量m0=9、109x10^－31kg)。

……

2: The Modu Light Source is the third-generation synchrotron radiation light source built in recent years. Some of its working parameters are as follows...

The electron energy E=3, 50GeV in the ring, the electron beam current intensity I=300mA, the circumference L=432m, the number of units (the number of bends equipped with deflection magnets) N=20, and the magnetic induction intensity of the deflection magnet magnetic field B=1 , 27T.

Try to calculate the average total radiation power Po of each optical port of the device.

(As electrons approach the speed of light...

Assuming that the momentum remains constant, Newton's second law still holds true, but Larmor's formula is no longer applicable.

相应的公式变化为P=(e^2a^2/6πc^3E0)*γ。

Where γ=E/m0c^2, E is the total energy of the electron, and m0c^2 is the rest energy of the electron. ).

……

3: Since the speed of electrons in the reserve ring is close to the speed of light, the synchrotron radiation is a light cone along the tangent direction of the electron orbit, and the half-angle of the light cone is , so it can be seen that the higher the energy of the electron, the better the directionality.

Trial calculation: the continuous time △T of the radiation produced by a single electron agreed by the above equipment at a certain point in the radiation direction.

……

……

This is the finale of this competition.

Unlike the 20-point finale of the Mathematical Olympiad, the finale of the physics competition occupies 25 points.

The first question is worth 5 points.

The second question is worth 10 points.

The third question is worth 10 points.

however……

As soon as I saw this question.

Fu Xinhan, Lin Qianqian, Lin Yu, Su Mo, and Ye Fan were all in a daze.

This question is very long.

At first glance, I really don't understand it.

However, with the strength of Fu Xinhan and others, it is not difficult to understand the topic, but it feels overwhelming to do it.

Are you sure this is a question that should appear in the rematch?

Even if it's the finale question, it's not too much!

Especially this Larmor formula.

They hadn't even heard of it.

Although it hasn't started yet.

But it always feels like a cool rhythm.

Second Olympic!

Difficult!
"Damn it, teacher!"

"Did you do it on purpose?"

"Obviously the first and second rounds were just normal competition difficulty, but the third round has increased so much?"

"It was the same in the previous Mathematics Olympiad. The difficulty of the finale of the third round was against the sky. It almost killed everyone in seconds, except for that kid from Jiangnan, but he used the so-called S volume, which is understandable. But this What is the reason for the competition?"

"Could it be that Wujing also has an S volume?"

"But even if there is an S roll, it's impossible to use it suddenly?"

"The Olympiad used the S volume. It was that kid from Jiangnan who openly provoked Professor Fang Guoping. Why?"

"Who provoked them?"

"Or are they crazy and deliberately making things difficult?"

"..."

Fu Xinhan, Lin Qianqian, Lin Yu and the others pulled off countless hairs, but they were still puzzled.

The only thing that can be done now.

Just do your best.

Can……

The previous question is easy to say, although it is also difficult, but with their strength, they can still handle it.

But at the end of the final question, it is difficult to move an inch.

If you really want to use any words to describe it.

That is……

This question is not much different from the previous finale of the Mathematical Olympiad.

It's also kind of unresolved.

No matter how much time is given to them, they can at most make a small half of it, and it is difficult to score [-] points, let alone a perfect score.

Gee!

This is a slap in the face.

It's not unpleasant, it's not heavy.

And the other side.

When Jiang Nan got the paper, he just pouted lightly, "Oh, that's it?"

"It feels more interesting than the first and second rounds, but that's it! It's no problem to easily score 100 points."

"but……"

"The system task is 99 points."

"Finish the test paper first, then erase 1 point..."

"..."

Immediately, he acted when his heart moved. As soon as he got the paper, Jiangnan started to write like flying, and started to do it quickly.

Originally, his hand speed was fast, but the last time he got a single hand speed*10 in the lottery, his speed was even faster.

Even though this was the third round of Wujing, he did it directly to the last question in less than 5 minutes.

The original title is as follows...

"In the classic model of the hydrogen atom...

Electrons move in a circle around the nucleus, and the centripetal force of electrons comes from the action of the nuclear electric field..."

"..."

"..."

"Ok?"

"This question is a bit interesting."

"Although I have never seen Larmor's formula, the specific formula is given out, and various data are also available..."

"Isn't this the same as giving points?"

"presumably……"

"Most people do it, right?"

"Fu Xinhan, Lin Qianqian's group is said to be the top eight college gods of the four famous schools, and they will probably do it in all likelihood."

"But the problem is that the system tasks have a handicap of 99 points. What should they do if they all get full marks?"

"I've said before that I want to win the first place in the four competitions. If I lose this round, wouldn't that be a shame?"

"System, system!"

"You must work hard! I still believe in you very much. I believe that 99 points can win the first place."

"otherwise……

"I'll lose face, and you won't be able to escape!"

"..."

Jiang Nan secretly comforted himself.

Then start solving problems.

“解1：由方程F=ma，a=v^2/r，F=1/4πε0*e^2/r^2，可导出电子的总能量为U=-e^2/8πε0r0。”

"From the conditions Eh=-13, 6eV, the orbital radius and motion speed of hydrogen atoms are deduced as...

“r0=5、29x10^-11'm。”

“v0=2、19x10^6m/s。”

"The initial transmit power obtained from Larmor's formula..."

"..."

"Substitute the data..."

"Get: τ=1, 56x10^-11s."

"..."

"Solution 2: For high-energy electrons, v=c, E=mc^2, a=v^2/r, F=eBc, F=ma..."

"From the above conditions, the deflection radius of electrons can be obtained R=E/ecB(6)."

"..."

"The power of the light outlet is..."

“P0=Putal/N=2、17x10^4W。

"..."

"Solution 3: Watching at a certain point P in the tangential direction of a certain point on the electron orbit, the viewer can only be at..."

"..."

"△T=9, 51x10^-20s."

"..."

sp: The process has been streamlined, afraid of being beaten, witty like me!

(End of this chapter)