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Write de - Broglie wavelength associated...

Write de - Broglie wavelength associated with 3rd and 4th orbit in Bohr's atom model.

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According to quantisation rule of Bohr's model,
`Mvr=(nh)/(2pi)`
i.e. ., linear momentum `p=mv=(nh)/(2pir)`
but from de-Broglie's wave concept of moving matter `p=(h)/(lamda) , " i.e., " lamda=h/(mv)`
or, `lamda=(cancelh)/(ncancelh).2pir`
or `lamda=(2pir)/(n)`
For `3^(rd) and 4^(th) " orbit," lamda_(3)=(2pir_(3))/(3) and lamda_(4)=(2pir_(4))/(4)`
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Knowledge Check

  • Bohr's atom model assumes

    A
    the nucleus is of infinite mass and is at rest
    B
    electrons in a quantized orbit will not radiate energy
    C
    mass of electron remains constant
    D
    all the above conditions

  • de-Broglie wavelength associated with an electron having kinetic energy 500 eV is :

    A
    `0.55Å`
    B
    `0.69Å`
    C
    `0.78Å`
    D
    `1.31Å`

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