English

How will the de-Broglie wavelength associated with an electron be affected when the velocity of the electron decreases? Justify your answer.

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.

Short/Brief Note
Advertisements

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.

shaalaa.com
  Is there an error in this question or solution?
2022-2023 (March) Delhi Set 1

Video TutorialsVIEW ALL [2]

RELATED QUESTIONS

What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-mean square speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076 u)


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)


Compute the typical de Broglie wavelength of an electron in a metal at 27°C and compare it with the mean separation between two electrons in a metal which is given to be about 2 × 10−10 m.


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.


Why photoelectric effect cannot be explained on the basis of wave nature of light? Give reasons.


An electromagnetic wave of wavelength ‘λ’ is incident on a photosensitive surface of negligible work function. If ‘m’ mass is of photoelectron emitted from the surface has de-Broglie wavelength λd, then ______.


Two particles move at a right angle to each other. Their de-Broglie wavelengths are λ1 and λ2 respectively. The particles suffer a perfectly inelastic collision. The de-Broglie wavelength λ, of the final particle, is given by ______.


The De-Broglie wavelength of electron in the third Bohr orbit of hydrogen is ______ × 10-11 m (given radius of first Bohr orbit is 5.3 × 10-11 m):


For which of the following particles will it be most difficult to experimentally verify the de-Broglie relationship?


E, c and `v` represent the energy, velocity and frequency of a photon. Which of the following represents its wavelength?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×