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Chemistry
Chemistry
Problem
Which of the following gives the correct radius
r
n
r_n
r
n
of the
n
n
n
th orbit of the hydrogen atom (
Z
=
1
Z=1
Z
=
1
) in the Bohr model? a)
r
n
=
n
2
h
2
2
π
2
k
m
e
2
r_n=\dfrac{n^{2} h^{2}}{2\pi^{2} k m e^{2}}
r
n
=
2
π
2
k
m
e
2
n
2
h
2
b)
r
n
=
n
h
2
4
π
2
k
m
e
2
r_n=\dfrac{n h^{2}}{4\pi^{2} k m e^{2}}
r
n
=
4
π
2
k
m
e
2
n
h
2
c)
r
n
=
n
2
h
2
4
π
2
k
m
e
2
r_n=\dfrac{n^{2} h^{2}}{4\pi^{2} k m e^{2}}
r
n
=
4
π
2
k
m
e
2
n
2
h
2
d)
r
n
=
k
e
2
n
2
m
h
2
r_n=\dfrac{k e^{2} n^{2}}{m h^{2}}
r
n
=
m
h
2
k
e
2
n
2
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