Step 1: Understanding the Concept:
Ionisation enthalpy generally increases across a period due to increased effective nuclear charge and decreased atomic radius. Sudden jumps in successive ionisation energies occur when an electron is removed from a stable noble gas configuration.
Step 2: Detailed Explanation:
1. Analysis of Statement (I):
The elements Na, Mg, Cl, and Ar belong to the same period (3rd period).
Moving left to right in a period, the effective nuclear charge increases, and the atomic size decreases.
Consequently, the energy required to remove an electron (IE1) increases.
Correct order of IE1: \(Na<Mg<Cl<Ar\).
The statement gives the reverse order (\(Na>Mg>Cl>Ar\)).
Therefore, Statement (I) is False.
2. Analysis of Statement (II):
Third ionisation enthalpy (\(IE_3\)) is the energy to remove an electron from a \(M^{2+}\) ion.
Electronic configuration of Calcium (Ca): \([Ar] 4s^2\).
\(Ca^+\): \([Ar] 4s^1\).
\(Ca^{2+}\): \([Ar]\) (Noble gas configuration).
Removing the third electron from \(Ca^{2+}\) involves breaking the exceptionally stable noble gas core of Argon.
This results in a very high value for \(IE_3\) for Calcium.
For Al, Fe, and B, the third electron removal does not involve breaking a noble gas core (e.g., Al becomes noble gas after \(IE_3\)).
Therefore, Statement (II) is True.
Step 3: Final Answer:
Statement I is false but Statement II is true.