Bohr Model of a Hydrogen Atom (its Postulates, Derivation of the Relations for the Energy...) NEET Questions

Bohr Model of a Hydrogen Atom (its Postulates, Derivation of the Relations for the Energy...) MCQ Questions

13.
The energy of ground state of hydrogen atom according to Bohr is:
A.
-13.6 eV
B.
+13.6 eV
C.
Both A and B
D.
-2.18 × 10⁻¹⁸ J
ANSWER :
C. Both A and B
14.
Why is the energy of electron in hydrogen atom negative?
A.
It indicates electron is moving slowly
B.
Electron has negative charge
C.
It's a mathematical convention
D.
Energy of electron in atom is lower than free electron at rest (zero)
ANSWER :
D. Energy of electron in atom is lower than free electron at rest (zero)
15.
In Bohr's model, the centripetal force on electron is provided by:
A.
Magnetic force
B.
Gravitational force
C.
Electrostatic (Coulomb) attraction
D.
Nuclear force
ANSWER :
C. Electrostatic (Coulomb) attraction
16.
For hydrogen-like ions (He⁺, Li²⁺, etc.), the energy of nth orbit is:
A.
E_n = -2.18 × 10⁻¹⁸ × Z²/n² J
B.
E_n = -2.18 × 10⁻¹⁸ × n²/Z²
C.
E_n = -2.18 × 10⁻¹⁸/(Z × n²)
D.
E_n = -2.18 × 10⁻¹⁸ × Z/n
ANSWER :
A. E_n = -2.18 × 10⁻¹⁸ × Z²/n² J
17.
The radius of nth orbit for hydrogen-like species is:
A.
r_n = 52.9 × n²/Z² pm
B.
r_n = 52.9 × n × Z pm
C.
r_n = 52.9 × n²/Z pm
D.
r_n = 52.9 × Z/n² pm
ANSWER :
C. r_n = 52.9 × n²/Z pm
18.
Energy of first orbit of He⁺ is:
A.
-4.36 × 10⁻¹⁸ J
B.
-1.09 × 10⁻¹⁸ J
C.
-8.72 × 10⁻¹⁸ J
D.
-2.18 × 10⁻¹⁸ J
ANSWER :
C. -8.72 × 10⁻¹⁸ J