What is the de Broglie wavelength of an electron accelerated by a voltage of 50v?
0.173 nm
What is the DeBroglie wavelength of an electron with a kinetic energy of 50000 eV?
5.510-nm
What is the de Broglie wavelength of an electron at 100 eV?
(b) K = 100 eV = 1.6 × 10−17 J. From de Broglie, λ = h/p = h/√2mK = 0.123 nm.
What is the formula of de Broglie wavelength?
Apply the de Broglie wave equation λ=hmv λ = h m v to solve for the wavelength of the moving electron. Step 3: Think about your result. This very small wavelength is about 1/20th of the diameter of a hydrogen atom. Looking at the equation, as the speed of the electron decreases, its wavelength increases.
What is the momentum of an electron of energy 100 eV?
Electrons in the atoms exist in spherical shells of various radii, that represent the energy levels. Therefore, the momentum of an electron of energy 100 eV is 1.227 × 10^{-10} m.
What is de Broglie wavelength of an electron with kinetic energy of 120 eV?
Answer. Therefore, the de Broglie wavelength of the electron is 0.112 nm.
What is the A momentum b speed and c de Broglie wavelength of an electron with kinetic energy of 120 eV?
(c) de Broglie wavelength of an electron with kinetic energy of 120 eV. Therefore, the momentum of the electron is 5.91 × 10−24 kg m s−1 .
What does De Broglie wavelength mean?
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 is the de Broglie wavelength of a heavier particle?
The heavier particle’s de Broglie wavelength, λ1 = h2m1K. The lighter particle’s de Broglie wavelength, λ2 = h2m2K. If m1>m2, then λ1<λ2. So, option (c) is correct.
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 the unit of de Broglie wavelength?
nanometres
Does a photon have a de Broglie wavelength?
Yes, photons have a de Broglie wavelength, because photons have momentum associated with them when they are in motion even though they don’t have a rest mass.
What possibly can be the ratio of the de Broglie wavelength?
What possibly can be the ratio of the de Broglie wavelength for two electrons each having zero initial weighing 200g and moving at a speed of 5m/hr of the order of. Solution : (d) λ1λ2=√V2V1=√ Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.
Is the wavelength associated with a moving particle?
The wavelength associated with a moving particle depends upon pth power of its mass m, qth power of its velocity v and power of plank’s constant h Then the corrent set of valume of p,q and r is. λ=khmvwhich is the required relation.
What possibly can be the ratio of the de Broglie wavelengths for two electrons having the same initial energy and accelerated through 50 V and 200 V?
Answer. So,ratio is ✓(200/50)=2:1, hope you understood.
What will be the ratio of the de Broglie wavelength of proton and alpha particle of the same energy?
As we know, λ=2mE h⇒λ∝m 1⇒λαλp=mpmα =12.
What energy should be added to an electron to reduce its de Broglie wavelength?
Four times the initial energy.
Is wavelength directly proportional to mass?
When an object behaves as a particle in motion, it has an energy proportional to its mass (m) and speed with which it moves through space (s). Thus, the de Broglie equation suggests that the wavelength ( ) of any object in motion is inversely proportional to its momentum.
Which of the following particles having same kinetic energy would have the maximum de Broglie wavelength?
Out of the given particles m is least for electron, therefore electron has the largest value of de Broglie wavelength.
What is the relation between de Broglie wavelength and kinetic energy?
The relationship between momentum and wavelength for matter waves is given by p = h/λ, and the relationship energy and frequency is E = hf. The wavelength λ = h/p is called the de Broglie wavelength, and the relations λ = h/p and f = E/h are called the de Broglie relations.
What is de Broglie wavelength for an electron moving with velocity of light?
Answer: The de broglie wavelength of an electron moving with 1% of the speed of light 2.41 Angstrom.
Which of the following has the largest de Broglie wavelength?
Ammonia
What will be the wavelength of an electron moving with?
Hence, the wavelength of the electron moving with a velocity of 2.05 × 107 ms–1 is 3.548 × 10–11 m.
How do you derive de Broglie equation?
λ=hmv = hmomentum, where ‘h’ is the plank’s constant. This equation relating the momentum of a particle with its wavelength is the de-Broglie equation and the wavelength calculated using this relation is the de-Broglie wavelength.
What is the conclusion made by de Broglie?
De Broglie concluded that most particles are too heavy to observe their wave properties. When the mass of an object is very small, however, the wave properties can be detected experimentally. De Broglie predicted that the mass of an electron was small enough to exhibit the properties of both particles and waves.
How does de Broglie hypothesis explain the stability of these orbits?
How does de Broglie’s hypothesis explain the stability of these orbits? An atom has a number of stable orbits in which an electron can reside without the emission of radiant energy. Each orbit corresponds, to a certain energy level. Electrons revolve in a circular orbit.
What are stable orbits?
Gravity provides the force needed to maintain the stable orbit of both planets around a star and also of moons and artificial satellites around a planet. A stable orbit is one in which the satellite’s speed is just right – it will not move off into space or spiral into the Earth, but will travel around a fixed path.