Step 1: Understand the statements.
Statement (I): In partition chromatography, the stationary phase is a thin film of liquid present in the inert support.
Statement (II): In paper chromatography, the material of paper acts as a stationary phase.
Step 2: Analyze Statement (I).
In partition chromatography, separation of components occurs based on their different partitioning (distribution) between two immiscible phases — one stationary and one mobile. The stationary phase is a thin film of liquid that is supported on an inert solid (such as silica or glass). The mobile phase moves over it, and solutes distribute themselves between the two phases based on their solubilities.
Hence, Statement (I) is true.
Step 3: Analyze Statement (II).
In paper chromatography, the stationary phase is not the paper itself, but the water molecules that are adsorbed or trapped in the fibers of the cellulose paper. The mobile phase (a solvent) moves over the stationary water layer by capillary action. The cellulose acts only as a support for the stationary water layer, not as the stationary phase itself.
Hence, Statement (II) is false.
Step 4: Conclusion.
Statement (I) is true but Statement (II) is false.
Final Answer:
\[
\boxed{\text{Statement I is true but Statement II is false.}}
\]