मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Explain de-Broglie wavelength.

Advertisements
Advertisements

प्रश्न

Explain de-Broglie wavelength.

थोडक्यात उत्तर
Advertisements

उत्तर

The wavelength that is associated with an object in relation to its momentum and mass is known as the de-Broglie wavelength.

de-Broglie equated the energy equation of Plank (wave nature) and Einstein (particle nature) such that,

E = hv   (Plank energy relation)

E = mc2   (Einsteins mass-energy relation)

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2021-2022 (March) Set 1

संबंधित प्रश्‍न

An electron, a proton, an α-particle, and a hydrogen atom are moving with the same kinetic energy. The associated de Broglie wavelength will be longest for ______.


State the importance of Davisson and Germer experiment.


Explain what you understand by the de Broglie wavelength of an electron. Will an electron at rest have an associated de Broglie wavelength? Justify your answer.


The de Broglie wavelengths associated with an electron and a proton are the same. What will be the ratio of

  1. their momenta
  2. their kinetic energies?

Two particles have the same de Broglie wavelength and one is moving four times as fast as the other. If the slower particle is an α-particle, what are the possibilities for the other particle?


According to De-Broglie, the waves are associated with ______ 


An electron is accelerated through a potential of 120 V. Find its de Broglie wavelength.


Calculate De Broglie's wavelength of the bullet moving with speed 90m/sec and having a mass of 5 gm. 


The momentum of a photon of energy 1 MeV in kg m/s will be ______


The de Broglie wavelength associated with photon is, ____________.


If the radius of the innermost Bohr orbit is 0.53 Å, the radius of the 4th orbit is ______


The wavelength '`lambda`' of a photon and de-Broglie wavelength of an electron have same value. The ratio of energy of a photon to kinetic energy of electron is (m = mass of electron, c = velocity of light, h = Planck's constant) ____________.


If '`lambda_1`' and '`lambda_2`' are de-Broglie wavelengths for electrons in first and second Bohr orbits in hydrogen atom, then the ratio '`lambda_2`' to '`lambda_1`' is (E1 = -13.6 eV) ____________.


If the kinetic energy of a particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is ____________.


Graph shows the variation of de-Broglie wavelength `(lambda)` versus `1/sqrt"V"`, where 'V' is the accelerating potential for four particles carrying same charge but of masses m1 , m2, m3, m4. Which particle has a smaller mass?


If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with the electrons change?


According to de-Broglie hypothesis, the ratio of wavelength of an electron and that of photon having same energy 'E' is (m = mass of electron, c = velocity of light) ____________.


A photon of wavelength 3315 Å falls on a photocathode and an electron of energy 3 x 10-19 J is ejected. The threshold wavelength of photon is [Planck's constant (h) = 6.63 x 10-34 J.s, velocity of light (c) = 3 x 108 m/s] ____________.


Obtain an expression for de-Broglie wavelength of wave associated with material particles. The photoelectric work function for metal is 4.2 eV. Find the threshold wavelength.


An electron of mass m has de-Broglie wavelength λ when accelerated through potential difference V. When proton of mass M, is accelerated through potential difference 9V, the de-Broglie wavelength associated with it will be ______. (Assume that wavelength is determined at low voltage)


Calculate the de Broglie wavelength associated with an electron moving with a speed of `5 xx 10^6` m/s. `(m_e = 9.1 xx 10^(-31)kg)`


A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as ______.


If the potential difference used to accelerate electrons is tripled, by what factor does the de-Broglie wavelength associated with electrons change?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×