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Chemistry
Chemistry
Problem
For a hydrogen-like ion, which of the following expressions gives the speed
v
n
v_n
v
n
of the electron in the
n
n
n
th orbit? (
k
=
1
/
4
π
ε
0
k=1/4\pi\varepsilon_0
k
=
1/4
π
ε
0
) a)
v
n
=
2
π
k
e
2
Z
n
h
v_n = \dfrac{2\pi k e^{2} Z n}{h}
v
n
=
h
2
π
k
e
2
Z
n
b)
v
n
=
2
π
k
e
2
Z
n
2
h
v_n = \dfrac{2\pi k e^{2} Z}{n^{2} h}
v
n
=
n
2
h
2
π
k
e
2
Z
c)
v
n
=
2
π
k
e
2
Z
n
h
v_n = \dfrac{2\pi k e^{2} Z}{n h}
v
n
=
nh
2
π
k
e
2
Z
d)
v
n
=
k
e
2
Z
n
h
v_n = \dfrac{k e^{2} Z}{n h}
v
n
=
nh
k
e
2
Z
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