Q.21 An electron is revolving in 4th orbit of He ion. Find
(a) Radius of 4th orbit.
(b) Velocity of the electron revolving in 4 orbit in m/sec.
(c) Energy of electron revolving in 4th orbit in Joule and eV(electron volt).
(d) Kinetic energy of electron in the 4th orbit.
(e) Potential energy of electron in the 4th orbit.
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Answer:
We know, r
n
=
4Π
2
ne
2
Z
n
2
h
2
now, mur
n
=
2Π
nh
⇒v=
2Π
nh
×
m
1
×
n
2
h
2
4Π
2
me
2
Z
=
nh
2Πe
2
Z
∴1094×10
5
=
4×6.625×10
−27
2×3.14×9.11×10
−28
×Z
⇒Z≃2
∴ The atom may be He .
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