Home
Class 12
PHYSICS
Compute the typical de Broglie wavelengt...

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 xx 10^(-10) m.`

Text Solution

Verified by Experts

Using the same formula as, `lambda = 6.2 xx 10^(-9) m` which is much greater than the given inter-electron separation.
Promotional Banner

Topper's Solved these Questions

  • DUAL NATURE OF RADIATION AND MATTER

    NCERT BANGLISH|Exercise EXERCISES|41 Videos
  • CURRENT ELECTRICITY

    NCERT BANGLISH|Exercise ADDITIONAL EXERCISES|5 Videos
  • ELECTRIC CHARGES AND FIELDS

    NCERT BANGLISH|Exercise EXERCISES|29 Videos

Similar Questions

Explore conceptually related problems

Calculate the wavelength of an electron moving with a velocity of 2.05xx10^(7)m*s^(-1) .

The de Broglie wave length of an electron of velocity 1.5×10^8 m/s is equal to that of photon. The ratio of the kinetic energy of electron and photon will be—

Show that the de Broglie wavelength of electron of energy K is given by lamda = (h)/(sqrt(2mK)) .

The de Broglie wavelength of an electron and the wavelength of a photon are equal and its value is lamda= 10^(-10)m . Which one has a higher kinetic energy?

The de Broglie wavelength of an electron is 0.4 xx 10^(-10) m when its kinetic energy is 1.0 keV. Its wavelength will be 1.0 xx 10^(-10) m , when its kinetic energy is

Determine the de Broglie wavelength of an electron moving with velocity 10^(6) m.s^(-1) . What will be the de Broglie wavelength of a proton, moving with the same velocity? Given, Planck's constant = 6.62xx10^(-34) J.s , mass of electron = 9.1xx10^(-31) kg , mass of proton is 1840 times that of an electron.

An electron and a photon have same de Broglie wavelength lamda = 10^(-1)m . Compare the kinetic energy of the electron with the total energy of the photon.

The wavelength lamda of a photon and the de Broglie wavelength of an electron have the same value. Show that the energy of the photon is (2 lamda mc)/(h) times of the kinetic energy of the electron. Here m, c and h have their usual meaning.

Calculate the de Broglie wavelength associated with an electron moving with velocity of 1.0xx10^(7)m//s . (mass of an electron: 9.1xx10^(-31)kg )

NCERT BANGLISH-DUAL NATURE OF RADIATION AND MATTER-EXERCISES
  1. An electron gun with its collector at a potential of 100 v fires out e...

    Text Solution

    |

  2. (a) An X-ray tube produces a continuous spectrum of radiation with its...

    Text Solution

    |

  3. In an accelerator experiment on high-energy collisions of electrons wi...

    Text Solution

    |

  4. Estimating the following two numbers should be interesting. The first ...

    Text Solution

    |

  5. Ultraviolet light of wavelength 2271 Å from a 100 W mercury source irr...

    Text Solution

    |

  6. Monochromatic radiation of wavelength "640.2 nm "(1nm = 10^(-9) m) fro...

    Text Solution

    |

  7. A mercury lamp is a convenient source for studying frequency dependenc...

    Text Solution

    |

  8. The work function for the following metals is given: Na: 2.75 eV, K: 2...

    Text Solution

    |

  9. Light of intensity 10^(-5) W m^(-2) falls on a sodium photo-cell of su...

    Text Solution

    |

  10. Crystal diffraction experiments can be performed using X-rays, or elec...

    Text Solution

    |

  11. (a) Obtain the de Broglie wavelength of a neutron of kinetic energy 15...

    Text Solution

    |

  12. An electron microscope uses electrons accelerated by a voltage of 50 k...

    Text Solution

    |

  13. The wavelength of a probe is roughly a measure of the size of a struct...

    Text Solution

    |

  14. Find the typical de Broglie wavelength associated with a He atom in he...

    Text Solution

    |

  15. Compute the typical de Broglie wavelength of an electron in a metal at...

    Text Solution

    |

  16. Answer the following questions: (a) Quarks inside protons and neutro...

    Text Solution

    |

  17. Answer the following questions: (b) What is so special about the com...

    Text Solution

    |

  18. Answer the following questions: (c) Why should gases be insulators a...

    Text Solution

    |

  19. Answer the following questions: (d) Every metal has a definite work ...

    Text Solution

    |

  20. Answer the following questions: (e) The energy and momentum of an el...

    Text Solution

    |