Question

what is the dual nature of electron

Answer 1

Electrons can behave as:
(a) particles - they have mass, charge
(b) waves - they can be diffracted and produce interference patterns.

Electromagnetic waves can behave as:
(c) particles - called photons with a finite amount of energy equal to Plank's constant times the frequency of the wave and so the photoelectric effect can be explained
(d) waves - they can be diffracted and produce interference patterns.

Have a look at the HyperPhysics website:
http://hyperphysics.phy-astr.gsu.edu/hbase/mod1.html

Answer 2

This happens because the electron vibrates so fast.

Answer 3

what is angular momentum

Answer 4

The angular momentum about a point of a point mass m with a momentum mv, where v is its velocity, is mvr.
r is the length of the perpendicular to the direction of the momentum to the point about which the angular momentum is to be found.

In vector notation\[\vec L = \vec r \times (m \vec v)\]

Very much more here

http://en.wikipedia.org/wiki/Angular_momentum

including the relation between angular momentum and moment of inertia.

Answer 5

the dual nature of an electron is:
particle which showing up in the concepts of the old atomic models and actully they can make collisons , wave which showing in moderne atomic model because that electrons have the phenemon of interference .

Answer 6

The dual nature of electron is actually real nature of electron(or every particle).
Electron has particle nature(we know it because we can measure the momentum and energy of the electron).
But the dynamical behaviour of the electron is controlled by wave-like function.(we also know it by experiments).
So it shows the properties of waves such as interference and diffraction.