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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

Verified by Experts

The correct Answer is:
(a) `2.18xx10^(6) m//s, 3.32xx10^(-10) m`, (b) `sqrt(2).(h/(2pi))`
For hydrogen atom, `Z=1, n=1`
`v=2.18xx10^(6)xxZ/n ms^(-1)=2.18xx10^(6) ms^(-1)`
de Broglie wavelength, `lambda=(h)/(mv)=(6.626xx10^(-34))/(9.1xx10^(-31)xx2.18xx10^(6))=3.32xx10^(-10) m =3.3 `
(b) For `2p, l=1`
`:.` Orbital angular momentum `=sqrt(l(l+1)) (h)/(2pi)=sqrt(2). (h)/(2pi)`
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