Home
Class 12
PHYSICS
Find the de Broglie wavlength of a neutr...

Find the de Broglie wavlength of a neutron at `127^circ`C Given that Boltzmann's constant `k=1.38xx10^(-23)J` `"molecule"^-1` `K^-1`. Planck's constant `=6.625xx10^(-34)Js`, mass of neutron `=1.66xx10^(-27)kg`.

Text Solution

Verified by Experts

Here, `T=127^@C`=127+273=400k
Energy of neutron at `127^@C` is,
`E=3/2kT=3/2xx1.38xx10^(-23)xx400`
`=8.28xx10^(-21)J`
Now, `lambda=h/(sqrt(2mE))`
`(6.63xx10^(-34))/(sqrt(2xx1.66xx10^(-27)xx8.28xx10^(-21)))`
`=1.264xx10^(-10)m=1.264A^@`
Promotional Banner

Topper's Solved these Questions

  • DUAL NATURE OF RADIATION AND MATTER

    PRADEEP|Exercise NCERT Exerciese question|1 Videos

  • DUAL NATURE OF RADIATION AND MATTER

    PRADEEP|Exercise Short answer|1 Videos

  • CURRENT ELECTRICITY

    PRADEEP|Exercise Problems for Practice (B)|2 Videos

  • ELECTROMAGNETIC INDUCTION & ALTERNATING CURRENT

    PRADEEP|Exercise Multiple Choice Questions|1 Videos

Similar Questions

Explore conceptually related problems

Find the de-Broglie wavelength of an electron in a metal at 127^@C . Given, mass of electron =9.11xx10^(-31)kg , Boltsmann constant =1.38xx10^(-23)"J mole"^-1K^-1 , Plank constant =6.63xx10^(-34)Js .

Calculate the kinetic energy of one mole of argon at 127^(@)C . Given,Boltzmann's constant, k_(B) = 1.381 xx 10^(-23) J "molecular"^(-1) K^(-1) . Avogardro numbe, N = 6.02 xx 10^(23) "mol"^(-1)

Calculate the de Broglie wavelength of an electron moving with 1//3rd of the speed of light in vacuum. (Neglect relativistic effect) (Planck's constant : h=6.63xx10^(-34)Js , Mass of electron : m=9.11xx10^(-28)g )

The de Brogile wavelength of an electron (mass =1 xx 10^(-30) kg, charge = 1.6 xx 10^(-19)C) with a kinetic energy of 200 eV is (Planck's constant = 6.6 xx 10^(-34) Js)

The de Broglie wavelength of neutrons in thermal equilibrium is (given m_n=1.6xx10^(-27) kg)

The de - Broglie wavelength of an electron having 80 ev of energy is nearly ( 1eV = 1.6 xx 10^(-19) J , Mass of electron = 9 xx 10^(-31) kg Plank's constant = 6.6 xx 10^(-34) J - sec )

Estimate the average thermal energy of a helium atom at (i) room temperature (27^(@)C) . Boltzmann constant =1.38 xx 10^(-23) JK^(-1)

The de Broglie wavelength of an electron in a metal at 27^(@)C is ("Given"m_(e)=9.1xx10^(-31)kg,k_(B)=1.38xx10^(-23)JK^(-1))

Find the de Broglie wavelength of 2 MeV proton. Mass of proton =1.64xx10^(-27)kg , h=6.625xx10^(-34)Js

The temperature of an ideal gas in 3- deimensions is 300 K. The corresponding de - Broglie wavelength of the electron approximately at 300 K , is : [ m_e = mass of electron = 9 xx 10^(-31) kg h = Planck constant = 6.6 xx 10^(-34) Js k_B = Boltzmann constant = 1.38 xx 10^(-33)JK^(-1) ]

PRADEEP-DUAL NATURE OF RADIATION AND MATTER-Exercise
  1. Find the de Broglie wavlength of a neutron at 127^circC Given that Bol...

    Text Solution

    |

  2. The photoelectric effect can be explained on the basis of

    Text Solution

    |

  3. Which of the following has minimum stopping potential?

    Text Solution

    |

  4. When radiation is incident on a photoelectron emitter, the potential i...

    Text Solution

    |

  5. Two photons, each of energy 2.5 eV are simultaneously incident on the ...

    Text Solution

    |

  6. The maximum velocity of an electron emitted by light of wavelength lam...

    Text Solution

    |

  7. The photoelectric work function for a metal surface is 4.125 eV. The c...

    Text Solution

    |

  8. The slope of frequency of incident light and stopping potential for a ...

    Text Solution

    |

  9. Threshold wavelength for a metal having work function w(0) is lambda. ...

    Text Solution

    |

  10. The work function for metals A , B and C are respectively 1.92 eV , 2....

    Text Solution

    |

  11. The wavelength of the matter wave is independent of

    Text Solution

    |

  12. If E(1), E(2), E(3), E(4) are the respective kinetic energies of elect...

    Text Solution

    |

  13. What is de-Broglie wavelength assciated with electron moving under a ...

    Text Solution

    |

  14. The minimum energy required by an electron to..........form the metal ...

    Text Solution

    |

  15. The maximum kinetic energy of emitted photoelectrons depends on the......

    Text Solution

    |

  16. The ratio of number of photoelectrons ejected to the number of the pho...

    Text Solution

    |

  17. For given photosenstive material, the photoelectric current is...........

    Text Solution

    |

  18. An increase in the frequency of the incident light.............the vel...

    Text Solution

    |

  19. The minimum energy required to ejected an electron from the surface of...

    Text Solution

    |

  20. In photoelectric effect the energy of the free electron does not depen...

    Text Solution

    |

  21. Photon is not a..........but it is a.......... .

    Text Solution

    |