Explain the dual behaviour of matter. Discuss its significance to microscopic particles like electrons.

Explanation

The particle nature of light explains the phenomenon of blackbody radiations and photo.electric effect but it couldnot explain about wave nature of light.
Wave .nature of light explains the phenomenon of interference and diffraction.
So, light has dual nature i.e. it behaves as a wave (or) as a stream of particles.
According to de-Broglie light has dual behaviour i.e both particle and wave nature.
de-Broglies gave the following relationship
`lamda=(h)/(mv)=(h)/(p)" "lamda=` wave length
P= momentum
Heisen berg.s uncertainty principle also a consequence of dual behaviour of matter and radia tion.
Statement :- It is impossible to determine simultaneously, the exact momentum and exact posi tion of a small particle likę electron.
`Deltax xxDeltapge(h)/(4pi)" "Deltax=` uncertainty in position
`Deltap=` uncertainty in momentum
Significance of Uncertainty Principle:
1. This principle rules out the existence of definite paths or trajectories of electrons and other similar particles.
2. This principle is significant only for motion of microscopic objects and is negligible for that of macroscopic objects.
3. in dealing with milligram size or heavier objects, the associated uncertainties are hardly of any real consequence.