Solution
Core Logic
Assertion A states that the first ionisation enthalpy decreases across a period. This is false, because first ionisation energy generally increases along a period from left to right.
Reason R states that the increasing nuclear charge outweighs the shielding across the period. This is true, and it is the exact reason why the atomic radius decreases and ionisation enthalpy increases across a period.
Step 1: Final Conclusion
Since the assertion is incorrect and the reason is a factually correct statement, A is false but R is true.
Pattern Recognition
Recall the horizontal periodic trends: across a period, effective nuclear charge (Zeff) dominates, pulling valence electrons tighter, increasing ionisation energy.
Chapter Mix
Class 11 Chemistry: Classification of Elements and Periodicity in Properties