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JEE Advanced 2019 Paper 2
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© examsnet.com
Question : 24
Total: 54
The ground state energy of hydrogen atom is – 13.6 eV. Consider an electronic state
ψ
of
H
e
+
whose energy, azimuthal quantum number and magnetic quantum number are – 3.4 eV, 2 and 0, respectively. Which of the following statement(s) is (are) true from the state
ψ
It is a 4d state
It has 3 radial nodes
It has 2 angular nodes
The nuclear charge experienced by the electron in this state is less than 2e, where e is the magnitude of the electronic charge
Validate
Solution:
E
=
−
13.6
×
2
2
n
2
=
−
3.4
13.6
×
2
2
n
2
=
3.4
n
2
=
4
2
n
⇒
4
Wave function corresponds to
ψ
4
,
2
,
0
represents
4
d
z
2
- orbital which has only one radialnodes and two angular nodes. It experiences nuclear change of 2e units.
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