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QPages 383-384: Q5: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 383-384: Q5 Solution: Ionization energy of a hydrogen-like ion A is greater than that …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume the orbital angular momentum $L$ changes with nuclear charge $Z$, but in Bohr’s model $L=n\hbar$ is fixed for a given principal quantum number (ground state $n=1$). Remember: ionization energy $propto Z^2$, orbital speed $u\propto Z$, and radius $r\propto 1/Z$, while $L$ remains constant.

Ionization energy of a hydrogen-like ion A is greater than that of another hydrogen-like ion B. Let

r

,

u

,

E

and

L

represent the radius of the orbit, speed of the electron, energy of the atom and orbital angular momentum of the electron respectively. In ground state

Multiple Choice Options

A $r_A > r_B$
B $u_A > u_B$
C $E_A > E_B$
D $L_A > L_B$

Step-by-Step Verified Solution

**Answer:** (b) u_A > u_B. **Step-by-Step Explanation:** If ionization energy of A > B, then Z_A > Z_B. The speed u _ Z, so u_A > u_B.

All Questions in this Chapter

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