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What are matter waves? - Physics

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प्रश्न

What are matter waves?

लघु उत्तर
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उत्तर

Matter waves, or de-Broglie waves, are the waves associated with moving particles. The matter wave is also called a de-Broglie wave. The matter wave describes the relationship between momentum and wavelength.

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2013-2014 (March)

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संबंधित प्रश्‍न

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)


Obtain the de Broglie wavelength associated with thermal neutrons at room temperature (27°C). Hence explain why a fast neutron beam needs to be thermalised with the environment before it can be used for neutron diffraction experiments.


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.


A particle is dropped from a height H. The de Broglie wavelength of the particle as a function of height is proportional to ______.


A proton, a neutron, an electron and an α-particle have same energy. Then their de Broglie wavelengths compare as ______.


An electron (mass m) with an initial velocity `v = v_0hati` is in an electric field `E = E_0hatj`. If λ0 = h/mv0, it’s de Broglie wavelength at time t is given by ______.


Two particles A1 sand A2 of masses m1, m2 (m1 > m2) have the same de Broglie wavelength. Then ______.

  1. their momenta are the same.
  2. their energies are the same.
  3. energy of A1 is less than the energy of A2.
  4. energy of A1 is more than the energy of A2.

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 ______.


A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities. The ratio of de-Broglie wavelength of particle of mass M to that of mass 3M will be:


Matter waves are ______.


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