- The statement in Assertion A is incorrect because the first ionisation enthalpy actually increases across a period, not decreases. This is due to the increasing effective nuclear charge as we move across a period, which holds the electrons more tightly, making it harder to remove them.
- The statement in Reason R is true; the increase in nuclear charge indeed outweighs the shielding effect across a period, leading to a higher ionisation enthalpy.
Thus, A is false but R is true.
So, the correct answer is: Option (3)