Step 1: Understand entropy.
Entropy is the measure of randomness or disorder of a system.
Higher randomness means higher entropy.
Step 2: Analyze option (1).
\[
H_2O(l)\longrightarrow H_2O(s)
\]
This represents freezing of water.
Liquid water has more randomness than solid ice.
During freezing, molecules become more ordered.
Hence, entropy decreases.
Step 3: Analyze remaining options.
\[
H_2O(l)\longrightarrow H_2O(g)
\]
Liquid changing to gas increases randomness.
Hence, entropy increases.
\[
H_2O(g)\longrightarrow 2H(g)
\]
Number of gaseous particles increases, so entropy increases.
\[
\text{Crystal }(100K)\longrightarrow \text{Crystal }(200K)
\]
Increase in temperature increases molecular motion and disorder.
Hence, entropy increases.
Step 4: Final conclusion.
Therefore, entropy decreases only in
\[
\boxed{H_2O(l)\longrightarrow H_2O(s)}
\]