de Broglie wave, also called
matter wave
, any aspect of the behaviour or properties of a material object that varies in time or space in conformity with the mathematical equations that describe waves. … De Broglie waves play an appreciable role, therefore, only in the realm of subatomic particles.
What are de Broglie wave Class 12?
De-Broglie waves: The waves which are associated with matter are called matter waves or de-Broglie waves. Wave equation,
λ=mvh
where, λ – wave length, h – plank’s constant, m – mass, v- velocity of wave.
What do you mean by de Broglie wave and de Broglie wavelength?
According to wave-particle duality, the De Broglie wavelength is
a wavelength manifested in all the objects in quantum mechanics which determines the probability density of finding the object at a given point of the configuration space
. The de Broglie wavelength of a particle is inversely proportional to its momentum.
What are the importance of de Broglie wave?
De Broglie proposed that
as light exhibits both wave-like and particle-like properties, matter to exhibit wave-like and particle
-like properties. This nature was described as dual behaviour of matter. On the basis of his observations, de Broglie derived a relationship between wavelength and momentum of matter.
What is de Broglie equation?
In 1924, French scientist Louis de Broglie (1892–1987) derived an equation that described the wave nature of any particle. Particularly, the wavelength (λ) of any moving object is given by:
λ=hmv
. In this equation, h is Planck’s constant, m is the mass of the particle in kg, and v is the velocity of the particle in m/s …
What is the de Broglie wavelength of a heavier particle?
Answer: The heavier particle’s de Broglie wavelength,
λ1 = h2m1K
. The lighter particle’s de Broglie wavelength, λ2 = h2m2K.
What is the main point of the de Broglie equation?
λ = h/mv
, where λ is wavelength, h is Planck’s constant, m is the mass of a particle, moving at a velocity v. de Broglie suggested that particles can exhibit properties of waves.
What is de Broglie wavelength of an electron?
Hence, the de Broglie wavelength of the electron is. λ = h 2 m ( K E ) = 6.626 × 10 − 34 J ⋅ s 2 × 9.11 × 10 − 31 kg × 1.602 × 10 − 18 J =
3.88 × 10 − 10 m
, about the size of an atom.
Does de Broglie wavelength depend on temperature?
The de Broglie wavelength of a molecule (in a sample of ideal gas)
depends on temperature
.
What are the two properties of de Broglie wave?
Matter waves can propagate in a vacuum, hence they are not mechanical wave. The number of de-Broglie waves associated with nth orbital is n. The phase
velocity
of matter waves can be greater than the speed of light. The number of de-Broglie waves associated with the nth orbital electron is n.
Is Heisenberg Uncertainty Principle?
uncertainty principle, also called Heisenberg uncertainty principle or indeterminacy principle, statement, articulated (1927) by the German physicist Werner Heisenberg, that
the position and the velocity of an object cannot both be measured exactly
, at the same time, even in theory.
What is the most important application of de Broglie concept?
Structure of Atom
What is the most important application of de-Broglie concept? Its most important use is in
the construction of electron microscope
which is used in the measurement of objects of very small size. A photon of wavelength 4 x 10
– 7
m strikes on metal surface, the work function of the metal being 2.13 eV.
What is limitation of de Broglie equation?
Limitation of de Broglie equation is that
it is good work on microscopic particle like ekectron ,protone and neutron
but it fails in case of large size object it gets fail because they have more mass and their wavelength become smaller and smaller that is not easy task to measure.
Which has a smaller de Broglie wavelength?
Answer: The de Broglie wavelength of a particle is inversely proportional to its momentum p = m v; since a
proton
is about 1800 times more massive than an electron, its momentum at the same speed is 1800 times that of an electron, and therefore its wavelength 1800 times smaller. The electron has the longer wavelength.
When the heavier of the two particles will have a smaller de Broglie wavelength?
Answer:
If the two particles moves with same speed
then the heavier of the two particles has smaller de Broglie wavelength, as on that situation wavelength is inversely proportional to the mass of the particle. that’s why heavier elements has smaller wavelength.
Why do everyday objects not show wave properties?
Answer: Explanation: matter waves for macroscopic bodies have very small wavelenghts. Accoding to Debroglie’s equation , wavelength is inversely proportional to mass of the object.
As macroscopic bodies have large mass when compared to micro objects
,they cannot exhibit wave property.
