Electrons and the old quantum mechanics

 INTRODUCTION

John Dalton(1766-1844),regarded as the atom is a hard, dence and smallest indivisible particle of matter.

Cathode Rays:-

if electric discharge from a high potential source is passed through a discharged tube evacuated to pressure around 0.01mm or less, ray are emitted from the cathode,these are called cathode rays.
These rays travel in a straight lines at the right angle to the cathode surface.

They produce mechanical motion in a small paddle wheel placed in their path indicating that they are material particles.

These particles are deflected from their path by electric and magnetic fields showing that they are electrically charged.

These particles are known as electrons.
Ratio of e/m of electrons determined by J.J.Thomson.

The magnetic field is applied at right angles to the direction the beam.

Magnetic force = Beu

B = strength of magnetic field.
e = charge
u = velocity

electron starts moving in a circular path of radius r.

The centrifugal force mv²/r arising from this circular motion is equal and opposite to the magnetic force i.e.

Beu = mv²/r
e/m = u/rb......................................1.

m = electronic mass

when electric field of strength E is also applied

Beu = Ee
or
u = e/B................................................2.

substituting the value of u in equation 1 from equation 2

e/m = E/rB²

value of e/m = 1.75875*10¹¹c/kg

this value is found by thomson.

Thomson awarded the physics nobel prize in 1906 for his work on conduction of electricity by gases.


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