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JEE Main 2 Apr 2025 Shift 1 Paper
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Section:
Physics
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© examsnet.com
Question : 29 of 75
Marks:
+1
,
-0
Considering Bohr's atomic model for hydrogen atom:
(A) The energy of H atom in ground state is same as energy of
H
e
+
\mathrm{He}^{+}
He
+
ion in its first excited state.
(B) The energy of H atom in ground state is same as that for
L
i
+
+
\mathrm{Li}^{++}
Li
++
ion in its second excited state.
(C) The energy of H atom in its ground state is same as that of
H
e
+
\mathrm{He}^{+}
He
+
ion for its ground state.
(D) The energy of
H
e
+
\mathrm{He}^{+}
He
+
ion in its first excited state is same as that for
L
i
+
+
\mathrm{Li}^{++}
Li
++
ion in its ground state.
Choose the correct answer from the options given below:
[2 Apr 2025 Shift 1]
(A), (D) only
(A), (B) only
(A), (C) only
(B), (D) only
Validate
Solution:
  
E
=
−
13.6
  
z
2
n
2
  
eV
\; E = -13.6 \; \frac{z^{2}}{n^{2}} \; \text{eV}
E
=
−
13.6
n
2
z
2
​
eV
  
E
H
e
+
1
  
st
  
  
 excited stateÂ
  
=
−
13.6
  
eV
\; E_{\mathrm{He}^{+}} 1^{\;\text{st}\;} \;\text{ excited state }\; = -13.6 \; \text{eV}
E
He
+
​
1
st
 excited stateÂ
=
−
13.6
eV
  
E
L
i
2
+
2
  
nd
  
  
 excited stateÂ
  
=
−
13.6
  
eV
\; E_{\mathrm{Li}^{2+}} 2^{\;\text{nd}\;} \;\text{ excited state }\; = -13.6 \; \text{eV}
E
Li
2
+
​
2
nd
 excited stateÂ
=
−
13.6
eV
(A), (B) are correct.
© examsnet.com
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