Advertisements
Advertisements
Question
How will the de-Broglie wavelength associated with an electron be affected when the velocity of the electron decreases? Justify your answer.
Solution
According to the de-Broglie wavelength formula, the wavelength is inversely proportional to electron momentum. The product of mass and velocity is momentum. As a result, as the electron's velocity declines, so does its momentum. As a result, the de-Broglie wavelength of the electron will grow.
APPEARS IN
RELATED QUESTIONS
Calculate the de Broglie wavelength of the electrons accelerated through a potential difference of 56 V.
Obtain the de Broglie wavelength of a neutron of kinetic energy 150 eV. As you have an electron beam of this energy is suitable for crystal diffraction experiments. Would a neutron beam of the same energy be equally suitable? Explain. (mn= 1.675 × 10−27 kg)
A electron of mass me revolves around a nucleus of charge +Ze. Show that it behaves like a tiny magnetic dipole. Hence prove that the magnetic moment associated wit it is expressed as `vecμ =−e/(2 m_e)vecL `, where `vec L` is the orbital angular momentum of the electron. Give the significance of negative sign.
State any one phenomenon in which moving particles exhibit wave nature.
Describe briefly how the Davisson-Germer experiment demonstrated the wave nature of electrons.
When a light wave travels from air to glass
A particle is dropped from a height H. The de Broglie wavelength of the particle as a function of height is proportional to ______.
Relativistic corrections become necessary when the expression for the kinetic energy `1/2 mv^2`, becomes comparable with mc2, where m is the mass of the particle. At what de Broglie wavelength will relativistic corrections become important for an electron?
- λ = 10 nm
- λ = 10–1 nm
- λ = 10–4 nm
- λ = 10–6 nm
The ratio of wavelengths of proton and deuteron accelerated by potential Vp and Vd is 1 : `sqrt2`. Then, the ratio of Vp to Vd will be ______.
E, c and `v` represent the energy, velocity and frequency of a photon. Which of the following represents its wavelength?