Day II : The “simple” laws

Today we will take a look at 4 Conservation Laws : Energy , Momentum , Angular Momentum and Charge . Most of us have studied these laws in our school days . But we will also be answering the important question ” Why is the Electron stable ? “

 

a) Energy : How do you define Energy ? I dont know ! How about this :

   ” It is the ability to do work . ” Not very convincing . Anyway we

   all kinda know what energy is . The formula is E = m (c ^ 2 ) .

   Mass is a kind of Energy because it can be converted into Kinetic

   Energy . This is a conserved quantity .

 

b) Momentum : Now this is trickier . Momentum is defined by mass times

   velocity . This is a vector quantity and has to be added vectorically.

 

c) Angular Momentum : This is the amount of “circular” motion contained

   in a body . There are two kinds of angular momentum :

 

   i) Orbital Angular Mom : This is the momentum of a body that revolves

      around another body .

 

   ii) Spin : This is the momentum of a body that spins or rotates about

       its axis .

 

    The sum total of Orbital and Spin Angular Mom has to remain constant .

 

   elementary particles( electrons , protons etc ) also have spin . But

   this is not the normal spin . No one has ever seen an electron

   rotating ! In elemantary particles spin is defined as some sort

   of intrinsic angular momentum . This is nothing like we can ever imagine

   But it is there .

 

 

d) Charge : The total amount of charge that a system contains is always

   conserved . The smallest unit of charge is that contained by the

   electron . We call it -1 .

 

   We can have reactions like :

 

   neutron(charge 0) -> proton( ch +1) + electron(ch -1) + antineutrino( ch 0)

 

   The total charge on both sides of the equation is 0 .

 

   These kinds of reactions are called decay . In the above reaction

   the neutron has decayed into three particles .

 

   The electron is one of the very rare particles that never decays !

   The reason is that it is the lightest charged particle . So if

   it decays into a set of smaller particles their charge will have to

   add upto the electron’s charge . But there are no lighter charged particles

   than the electron . So the electron NEVER decays . One experiment

   estimated the life of an electron to be 10 ^ 25 years . which is :

   10000000000000000000000000 years . Now this is huge !!!

 

   Tomorrow we will do the more exotic conservation laws : Baryon family no

   electron family no and the muon family no .

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