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a.Calculate the velocity of an electron ...

a.Calculate the velocity of an electron in the first Bohr's orbit of hydrogen atom (given `r = a_(0))`.
b. Find de Broglie's wavelength of the electron in the first Bohr's orbit.
c. Find the orbital angular momentum of `2p` orbital in terms of `h//2pi` units.

Text Solution

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(i)`"mu"=(nh)/(2pi)`
`:.u=(nh)/(2pimr)=(1xx6.626xx10^(-34))/(2xx3.14xx9.108xx10^(-31)xx0.529xx10^(-10))`
`=2.19xx10^(6)m//s`
(ii) `lamda =h/("mu")=(6.626xx10^(-34))/(9.108xx10^(-31)xx2.19xx10^(-6))=3.32xx10^(10)m`
(iii) Orbital angular momentum for 2p -orbital `(l=1)`
`sqrt(l(l+1))xxh/(2pi)`
`sqrt(2 pi)xxh/2=sqrt(2h)`
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