Dual Nature of matter | Dual nature of Light | Wave and Particle Nature | Definition and Explanation | thetutee

 

Since the discovery of the dual nature of the matter or the light science has been transformed into a new level. The understanding of nature of matter has deepened further. Now we can easily say that everything is a wave as well as a particle.

De Broglie proposed the theory of the dual nature of the light. He said that matter can have both particle and the wave nature.

According to planks wave equation energy is directly proportional to the frequency,

E α υ

E = hυ          where, h = 6.63×10^-34 Js

So according to Einstein mass and energy are the manifestation of the same thing

E = mc²     

So, we can write by combing both equations,

hυ = mc²             (here c = 3.0 × 10⁸ m/s)

as, υ = c/λ

h c/λ = mc²

λ = hc/ mc²

λ = h/mc      (Equation for light)

λ = h/mv      (Equation for matter) here v = velocity of the light, this equation is also known as de Broglie’s equation

λ = 1/mv      (where, mv = momentum)

From here we can deduce that the greater the mass of an object the lesser will be its wavelength.