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Byju's Answer
Standard XII
Chemistry
Size of Atoms and Ions
For an electr...
Question
For an electron, revolving in
n
th
orbit of a hydrogen atom, the angular momentum is proportional to,
A
n
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B
1
n
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C
n
3
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D
1
n
3
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Solution
The correct option is
D
1
n
3
According to the second postulate of Bohr's theory,
m
v
n
r
n
=
n
h
2
π
⇒
m
r
2
n
ω
n
=
n
h
2
π
⇒
ω
n
=
n
h
2
π
m
r
2
n
.
.
.
.
.1
∵
r
n
=
r
1
n
2
for hydrogen atom
∴
ω
n
=
n
h
2
π
m
(
r
2
1
n
4
)
=
h
2
π
m
(
r
2
1
n
3
)
From the above equation, we can write,
ω
n
∝
1
n
3
Hence,
(
D
)
is the correct answer.
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