Atomic StructureMedium
Question
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, total energy of the electron and angular momentum of the electron respectively (for the same n). In ground state
Options
A.rA > rB
B.uA > uB
C.EA > EB
D.LA > LB
Solution
IEA > IEB
∴ ZA > ZB.
r ∝ 1/Z ∴ rA < rB.
u ∝ Z ∴ uA > uB.
E ∝ Z2 (But it is negative). ∴ EA < EB.
L does not depends on Z.
∴ For same n, LA = LB.
∴ ZA > ZB.
r ∝ 1/Z ∴ rA < rB.
u ∝ Z ∴ uA > uB.
E ∝ Z2 (But it is negative). ∴ EA < EB.
L does not depends on Z.
∴ For same n, LA = LB.
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