At the beginning of the 20th century the French physicist Louis De Broglie proposed the existence of matter waves, that is to say that <u>all matter has a wave associated with it.</u>
In this sense, the de Broglie wavelength is given by the following formula:
(1)
Where:
is the Planck constant
is the momentum of the atom, which is given by:
(2)
Where:
is the mass
is the velocity
Substituting (2) in (1):
is inversely proportional to
).
Therefore, if the wavelength decreases the wave nature of matter is less easy to observe.
The other options are incorrect because:
a) as increases
decreases and the particle nature matter becomes more evident
b) as decreases
increases and the wave nature matter becomes more evident
c) There is also a relation between the wavelength and the energy :
So, as energy increases, the particle nature matter becomes more evident and the wave nature of matter becomes harder to observe