Home
Class 12
PHYSICS
Electron and proton are moving with the ...

Electron and proton are moving with the same speed, which will have more wvalength?

Text Solution

Verified by Experts

We know `lamda= (h)/(mv)`
Wavelength of moving electron `=lamda_(e )= (h)/(m_(e ) v_(e ))`
Wavelength of moving proton `=lamda_(p)= (h)/(m_(p) v_(p))`
`(lamda_(e ))/(lamda_(p))= (h)/(m_(e) v_(e)) xx (m_(p) v_(p))/(h)`
`(lamda_(e ))/(lamda_(p)) = (m_(p))/(m_(e )) ((v_(p))/(v_(e )))`
But `v_(p)= v_(e )`
`therefore (lamda_(e))/(lamda_(p))= (m_(p))/(m_(e ))`
Because `m_(p) gt m_(e)`
`therefore lamda_(e) gt lamda_(p)`
So electron has larger wavelength than proton.
Promotional Banner

Topper's Solved these Questions

  • WAVE NATURE OF MATER

    BETTER CHOICE PUBLICATION|Exercise Very Short Answer Type Questions (Most Expected Questions)|2 Videos
  • WAVE NATURE OF MATER

    BETTER CHOICE PUBLICATION|Exercise Short Answer Type Questions|8 Videos
  • STRUCTURE OF NUCLEUS

    BETTER CHOICE PUBLICATION|Exercise MOST EXPECTED QUESTIONS |4 Videos

Similar Questions

Explore conceptually related problems

Electron and proton are moving with the same speed, which will have more wavelength?

An electron and a proton moving with same speed enter the same magnetic field region at right angles to the direction of the field. For which of the two particles will the radius of the circular path be smaller?

A bus and a ball are moving with the same speed. To stop which one would require more force ?

If we consider electrons and photons of same wave length, then they will have the same:

BETTER CHOICE PUBLICATION-WAVE NATURE OF MATER-Numerical Problems
  1. Electron and proton are moving with the same speed, which will have mo...

    Text Solution

    |

  2. If a photon and an electron have the same de-Broglie wavelength of 0.5...

    Text Solution

    |

  3. A photon and an electron have the same wavelength.Then,the velocity of...

    Text Solution

    |

  4. The de-Broglie wavelength lambda of a particle is related to ites kine...

    Text Solution

    |

  5. If h is the Planck's constant, find the momentum of the photon of wave...

    Text Solution

    |

  6. Find the de-Broglie wavelength of wave associated with a particle of r...

    Text Solution

    |

  7. Find de Broglie wavelength of wave associated with a particle of rest ...

    Text Solution

    |

  8. Find de-Broglie wavelength of wave associated with a particle of rest ...

    Text Solution

    |

  9. Find de Broglie wavelength of wave associated with a particle of rest ...

    Text Solution

    |

  10. Calculate momentum of electron, if their wavelength is 2 overset @ A. ...

    Text Solution

    |

  11. Calculate the de-Broglie wavelength for electron moving with speed of ...

    Text Solution

    |

  12. What voltage must be applied to an elecron microscope to produce elect...

    Text Solution

    |

  13. A photon and an electron have got same de Brogile wavelength. Which ha...

    Text Solution

    |

  14. What is the de-Broglie wavelength of an electron with kinetic energy o...

    Text Solution

    |

  15. Calculate the momentum and de-Broglie wavelength of the electrons acc...

    Text Solution

    |

  16. Calculate momentum of electron, if their wavelength is 1overset @ A. G...

    Text Solution

    |

  17. Calculate the momentum of electrons, if their wavelength is 3 Å. Given...

    Text Solution

    |

  18. Calculate the de-Bronglie waveelngth for electron and protonif their s...

    Text Solution

    |

  19. Calculate the de-Broglie wavelength for electron moving with speed of ...

    Text Solution

    |

  20. Calculate the de-Broglie wavelength of an electron moving with a speed...

    Text Solution

    |

  21. Calculate momentum of electron, if their wavelength is 2 overset @ A. ...

    Text Solution

    |