(a) orbital speed can be found by two ways
v = nh / 2mr
where m is mass of electron, n is orbit number
and
the other more simple formula is
v = 2.18e6 * z / n
where z is atomic number of atom ( note that this formula is valid for atoms with single electron)
so,
v = 18 * 6.6e-34 / 2 * 9.11e-31 * 1.71e-8
v = 1.21e5 m/s
---------------------------------------------------
(b)
energy can be found as
E = - 13.6 / n2 ( in eV)
or
E = - 2.18e-18 / n2 ( in J)
so,
putting n = 18
E = 0.041975 eV
or
E = 6.72e-21 J
----------------------------------------------
(c)
angular frequency, w = v / r
w = 1.21e5 / 1.71e-8
w = 7.1e12 rad/sec
of radius 1.71 x 10 m around the proton. Assume the orbital angular momentum of the...
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