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JEE Main Physics Class 12 Atoms and Nuclei Part 1 Questions
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© examsnet.com
Question : 23
Total: 100
Muon
(
µ
−
1
)
is negatively charged
(
|
q
|
=
|
e
|
)
with a mass
m
µ
=
200
m
e
, where
m
e
is the mass of the electron and e is the electronic charge. If
µ
−
1
is bound to a proton to form a hydrogen like atom, identify the correct statements
(A) Radius of the muonic orbit is 200 times smaller than that of the electron
(B) the speed of the
µ
−
1
in the nth orbit is
1
200
times that of the election in the nth orbit
(C) The lonization energy of muonic atom is 200 times more than that of an hydrogen atom
(D) The momentum of the muon in the nth orbit is 200 times more than that of the electron
[Online April 15, 2018]
(A), (B), (D)
(B), (D)
(C), (D)
(A), (C), (D)
Validate
Solution:
(A) Radius of muon
=
Radius of hydrogen
200
Radius of
H
atom
=
r
=
∈
0
n
2
h
2
π
m
e
2
Radius of muon
=
r
µ
=
∈
0
n
2
h
2
π
×
200
m
e
2
r
µ
=
r
200
(B) Velocity relation given is wrong
(C) Ionization energy in
e
−
H
atom
E
=
+
m
e
4
8
∈
0
2
n
2
h
2
E
µ
=
200
m
e
4
8
∈
0
2
n
2
h
2
=
200
E
(D) Momentum of H-atom
m
v
r
=
n
h
2
π
Hence (A), (C), (D) are correct.
© examsnet.com
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