Home
Class 12
PHYSICS
An alpha-particle and a proton are accel...

An `alpha`-particle and a proton are accelerated in such a way that they get the same kinetic energy. What is the ratio of their de Broglie wavelengths?

A

`1 : 1`

B

`1 : 2`

C

`1 : 3`

D

`3 : 2`

Text Solution

Verified by Experts

The correct Answer is:
B
`lambda=h/sqrt(2m E_(k))`
`lambda prop 1/sqrt(m)`
`lambda_(prop)/lambda_(P)=sqrt(m_(P)/m_(prop))=sqrt(m_(P)/(4m_(P)))=1/2`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    NIKITA PUBLICATION|Exercise Multiple Choice Question|421 Videos

Similar Questions

Explore conceptually related problems

A deuteron and an alpha - partical have same kinetic energy. Find the ratio of their de-Broglie wavelengths.

An alpha -particle and a proton are accelerated from rest through the same potential difference V. Find the ratio of de-Broglie wavelength associated with them.

From Davisson-Germer experiment an alpha particle and a proton are accelerated through the same pd V . Find the ratio of the de Broglie wavelengths associated with them

If a proton and an electron have the same kinetic energy, which has the longer de Broglie wavelength?

A proton and an electron have same kinetic energy. Which one has greater de-Broglie wavelength and why ?

An electron and a proton are accelerated through the same potential difference. The ratio of their de-Broglie wavelengths will be

If the kinetic energy of a moving particle is E , then the de-Broglie wavelength is

If the kinetic energy of a particle is doubled, de Broglie wavelength becomes:

NIKITA PUBLICATION-ATOMS, MOLECULES AND NUCLEI-MCQs
  1. A photon , an electron and a uranium nucleus all have the same wavelen...

    Text Solution

    |

  2. If a photon and an electron propagate in the form of waves, having the...

    Text Solution

    |

  3. An alpha-particle and a proton are accelerated in such a way that they...

    Text Solution

    |

  4. Dual nature of radiation is shown by

    Text Solution

    |

  5. If particles are moving with same velocity , then maximum de - Broglie...

    Text Solution

    |

  6. What is the de Broglie wavelength of a 2 kg mass moving with a velocit...

    Text Solution

    |

  7. What is the de - Broglie wavelength of the alpha - particle accelerate...

    Text Solution

    |

  8. For the Bohr's first orbit of circumference 2pi r , the de - Broglie ...

    Text Solution

    |

  9. Through what potential difference should an electron be accelerated so...

    Text Solution

    |

  10. The de - Broglie wavelength of a particle moving with a velocity 2.25 ...

    Text Solution

    |

  11. An electron and a proton are accelerated through the same potential di...

    Text Solution

    |

  12. The idea of matter waves was given by

    Text Solution

    |

  13. If the kinetic energy of a free electron doubles , its de - Broglie wa...

    Text Solution

    |

  14. A particle with rest mass m0 is moving with velocity c. what is the d...

    Text Solution

    |

  15. An electron and proton have the same de-Broglie wavelength. Then the k...

    Text Solution

    |

  16. The de - Broglie wavelength associated with a hydrogen molecule moving...

    Text Solution

    |

  17. The wavelength of de - Broglie wave is 2 mu m , then its momentum is (...

    Text Solution

    |

  18. A wave is associated with matter when it is

    Text Solution

    |

  19. Protons and alpha-particles have the same de Broglie wavelength. What ...

    Text Solution

    |

  20. The de - Broglie wavelength associated with the particle of mass m mov...

    Text Solution

    |