Key idea: adsorption in column chromatography
In adsorption column chromatography, the compound that is more strongly adsorbed on the stationary phase moves more slowly down the column.

Given:
$\text{Adsorption of I} > \text{Adsorption of II}$

Therefore:

• Compound I is held more strongly by the stationary phase.
• So I moves slower.
• Compound II moves faster.

Relation with }R_f\text{ value (TLC/paper chromatography analogy)
The compound that interacts less strongly with the stationary phase travels farther with the mobile phase, so it has a higher }R_f\text{ value}.

Since compound II is less adsorbed than I, it will:

• move faster,
• travel farther,
• have higher }R_f\text{ than I}.

Check the options

• A: I moves faster and has higher $R_f$ value than II
  ❌ Incorrect, because I is more strongly adsorbed, so it moves slower.

• B: II moves faster and has higher $R_f$ value than I
  ✅ Correct.

• C: I moves slower and has higher $R_f$ value than II
  ❌ Incorrect, I moves slower but should have lower $R_f$.

• D: II moves slower and has higher $R_f$ value than I
  ❌ Incorrect, II moves faster, not slower.

Final answer
$\boxed{\text{B}}$