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Calculate the following: (i) Velocity ...

Calculate the following:
(i) Velocity of electron in first Bohr orbit of H-atom `(r=a_(0))`
(ii) De Broglie wavelengt of electron in first Bohr orbit of H- atom.
(iii) Orbit angular momentum 2p-orbitals in terms of `h/(2pi)` unit.

Text Solution

Verified by Experts

(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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