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Find the initial momentum of electron if...

Find the initial momentum of electron if the momentum of electron is changed by `p_(m)` and the De Brogile wavelength associated with it changed by `0.50%`

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`(dlambda)/(lambda) xx 100 = 0.5 rArr (dlambda)/(lambda) = (0.5)/(100) = (1)/(200)` and `Deltap = p_(m)`
`:' p = h/lambda`, differenting `(dp)/(dlambda) = -(hc)/(lambda^(2)) = - (hc)/(lambda) xx 1/(lambda) = - (p)/(lambda) rArr (|dp|)/(p) = (dlambda)/(lambda)`
`:. (p_(m))/(p) = (1)/(200) rArr p = 200 p_(m)`
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Knowledge Check

  • The orbital angular momentum of a p- electron is given as

    A
    `(h)/(sqrt(2pi))`
    B
    `sqrt(3) .(h)/(2pi)`
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  • If the momentum of an electron is required to be same as that of wave of 5200 Å wavelength, its velocity should be ……. ms^(-1)

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  • When de-Broglie wavelength of electron in increased by 1% its momentum…

    A
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    B
    decrease by 1%
    C
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    D
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