Question

Why does the velocity of the electron become infinite when its velocity reaches to the velocity of light?​

Answer 1

Answer:

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Explanation:

As an object increases in speed, so does the amount of energy that it has, this energy is what we refer to as 'the increase in mass' (just remember, this is inertial mass). Infinite. Therefore, it is almost impossible for an electron(or any other body that has rest mass not equal to 0) to achieve this velocity.  As we approach light speed, we have to provide more and more energy to make an object move. In order to reach the speed of light, you'd need an infinite amount of energy, and that's impossible!

Answer 2

Answer:

Explanation:

Well, in Classical Mechanics, it is shown that electrons revolve around the nucleus in some circular fixed path called “Bohr orbits” without any loss or gain of energy. An electron in an orbit is associated with a definite amount of energy.

A calculation shows that the electron is traveling at about 2,200 kilometers per second. That's less than 1% of the speed of light, but it's fast enough to get it around the Earth in just over 18 seconds.

As you add energy to the electron, it will go faster, but as you get it to go close to the speed of light, you find that you have to add even more energy just to bump it a bit faster. For example, with just over 220,000 eV (which stands for a convenient unit of energy called the "electron-volt"), you can get the electron up to 90% of the speed of light. But to get it to 99.9% (just another 9.9%), you need a total of over 11 million eV! One way of looking at this is that the electron gets "heavier" (more massive) as it goes ever faster. So it's harder to push it faster. At Jefferson Lab, a typical energy for the electrons in the beam is 4 GeV which is 4 billion eV. That means the electron is traveling at 99.9999992% of the speed of light. Close but still not 100%.

According to the quantum mechanical model of an atom,the electrons do not really 'spin' around the nucleus in atoms. They are found in what is called 'orbitals', which are three-dimensional probability distributions, which correspond to the quantum mechanical state they are in.

So,an object with mass cannot reach the speed of light. As electron isn't massless (an electron’s mass is 9.1*10^-31 kg) ,so it will never reach this speed. But as Einstein said that if an object travels exactly at the speed of light, it would possess infinite mass. I think,this would be the same case with an electron too