To determine the incorrect statement, let's analyze each option:
Alkali metals react with water to form their hydroxides: This statement is correct. Alkali metals react vigorously with water, giving hydrogen gas and forming their respective hydroxides.
The oxidation number of K in KO2 is +4.: This statement is incorrect. In potassium superoxide (KO2), potassium (K) actually has an oxidation state of +1. The oxygen molecule in KO2 is in the form of a superoxide ion (O2-), which has an oxidation state of -1/2 per oxygen atom. The potassium ion balances the charge, resulting in potassium's oxidation state remaining +1.
Ionisation enthalpy of alkali metals decreases from top to bottom in the group: This is correct. As we move down the group in the periodic table, the atomic size increases, and the outermost electron is farther from the nucleus, requiring less energy to remove, thus ionisation enthalpy decreases.
Lithium is the strongest reducing agent among the alkali metals: This statement is correct. Lithium has the highest tendency to lose its outer electron compared to other alkali metals, making it a very strong reducing agent. This is due to its high hydration energy.
Therefore, the incorrect statement is: The oxidation number of K in KO2 is +4.
Given below are two statements. 
In the light of the above statements, choose the correct answer from the options given below:
Given below are two statements:
Statement I: Nitrogen forms oxides with +1 to +5 oxidation states due to the formation of $\mathrm{p} \pi-\mathrm{p} \pi$ bond with oxygen.
Statement II: Nitrogen does not form halides with +5 oxidation state due to the absence of d-orbital in it.
In the light of the above statements, choose the correct answer from the options given below:
A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is : 
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :
The current passing through the battery in the given circuit, is: 
Given below are two statements:
Statement I: The primary source of energy in an ecosystem is solar energy.
Statement II: The rate of production of organic matter during photosynthesis in an ecosystem is called net primary productivity (NPP).
In light of the above statements, choose the most appropriate answer from the options given below: