Radiation has dual nature, i.e., it possesess the properties of both, wave and particle. This prompted de-Broglie to prodict dual nature of moving material particles. Thus waves are associated with moving material particles which are called matter waves. The wavelength of matter waves is given by `lambda=h/(mv)`, where m is the mass, v is the speed of the particle and h is Planck's constant. Read the above paragraph and answer the following question:
(i) How was the wave nature of electron established?
(ii) What are the de-Broglie wavelength associated with a particle (i) at rest (ii) moving with infinite speed?
(iii) What are the basic values displayed by this study?

Explanation

(i) Davission and Germer observed diffraction pattern of slow moving electrons. And G.P. Thomson observed diffraction pattern of fast moving electrons. As diffraction is essentially a wave phenomenon, therefore, it was conclude that wave must be associated with moving electrons.
(ii) (a) At rest, `v=0, lambda=h/(mv)=h/(mxx0)=oo`
(b) Particle moving with infinite speed, `v=oo`
`lambda=h/(mv)=h/(mxx0)=0`
(iii) The dual nature of moving material particles reveals in a way the nature of almighty God. He is in a visible form (i.e., Sakar) like a visible particle and also without any form (i.e., Nirakar) like a wave. It depends on us how we realise Him.