mounica reddy said:1.given mass of electron = 9.11*10^-31 ... kinetic energy=1mega electron volt
2. Homework Equations :: k.e=1/2mv^2 and λ=h/mv
3. The Attempt at a Solution :: am unable to get it...can anyone ry...
Curious3141 said:Big caution here: if you use classical mechanics to compute the velocity of the electron, you get v > c. This is not correct.
I'm afraid that here, you have to use the relativistic formulae ([itex]\Delta{E} = \Delta{m}c^2[/itex] and [itex]m = \frac{m_0}{\sqrt{1 - \frac{v^2}{c^2}}}[/itex]) to get the answer. You can't use [itex]E_k = \frac{1}{2}mv^2[/itex].
cupid.callin said:Nice catch, i missed that. But its use depends on the level of question ... in basic physics, relativity eqns are usually not used ... Let the OP decide weather he is supposed to use them or not
Usually true, unless the class is learning introductory relativity.cupid.callin said:... in basic physics, relativity eqns are usually not used ...
The concept of wavelength associated with electrons refers to the wave-like behavior of electrons, which can be described by a wavelength value. This wavelength is related to the momentum of the electron and can be calculated using the de Broglie equation: λ = h/mv, where λ is the wavelength, h is Planck's constant, m is the mass of the electron, and v is its velocity.
The wavelength associated with electrons is inversely proportional to their energy. This means that as the energy of an electron increases, its wavelength decreases. This relationship is explained by the wave-particle duality principle, which states that particles like electrons can exhibit both wave-like and particle-like properties.
Yes, the wavelength associated with electrons can be measured using various techniques, such as electron diffraction or electron microscopy. These methods involve passing electrons through a material or a series of electric and magnetic fields, which can be used to determine their wavelength and other properties.
The concept of wavelength associated with electrons is one of the key principles of quantum mechanics. It helps to explain the behavior of electrons in various phenomena, such as the photoelectric effect and electron diffraction, and is fundamental to our understanding of the atomic and subatomic world.
The wavelength associated with electrons is much smaller than that of light. While the wavelength of visible light ranges from 400 to 700 nanometers, the wavelength of electrons is typically on the order of 0.01 nanometers. Additionally, unlike light, the wavelength of electrons is affected by their mass and velocity, as described by the de Broglie equation.