Concept:
Algae are chlorophyll-bearing, simple, autotrophic organisms that are classified mainly on the basis of their pigments, reserve food material and cell wall composition.
The three major classes of algae are:
\[
\boxed{
\begin{aligned}
\text{Chlorophyceae} &\rightarrow \text{Green algae}\\
\text{Phaeophyceae} &\rightarrow \text{Brown algae}\\
\text{Rhodophyceae} &\rightarrow \text{Red algae}
\end{aligned}
}
\]
Brown algae possess the pigment fucoxanthin, which gives them their characteristic brown colour.
Step 1: Identify the pigments present in brown algae.
Brown algae contain
\[
\boxed{\text{Chlorophyll }a,\;c\text{ and Fucoxanthin}.}
\]
Fucoxanthin masks the green colour of chlorophyll, making the algae appear brown.
Step 2: Determine their classification.
Based on the presence of fucoxanthin and other characteristics, brown algae are placed under
\[
\boxed{\text{Phaeophyceae}.}
\]
Examples include:
\[
\boxed{\textit{Sargassum},\;\textit{Laminaria},\;\textit{Fucus}.}
\]
Step 3: Compare the options.
• Chlorophyceae → Green algae.
• Rhodophyceae → Red algae.
• Phaeophyceae → Brown algae.
• Cyanophyceae → Blue-green algae (Cyanobacteria).
Therefore,
\[
\boxed{\textbf{Option (C)}}
\]
is the correct answer.