Which of the following figures represent the variation of particle momentum and the associated de-Broglie wavelength?

CONCEPT :

• De Broglie wavelength shows the dual nature of matter and radiation (ie: The matter can act as waves and vice versa) and is given by

Where λ  = Wavelength, P = momentum, h = Plancks constant

EXPLANATION :

The de Broglie wave equation is given as 

• From the above equation, it is clear that the momentum of the particle is inversely proportional to the wavelength of the particle i.e.,

• As the value of λ increases the value of P decreases. Hence, option 3 is the answer