Concept:
Chronology-based cinema questions require arranging films according to the year in which they received awards or were released. The Swarna Kamal Award is one of the highest recognitions in Indian cinema under the National Film Awards.
Director Mrinal Sen was one of the pioneers of parallel cinema in India and received several prestigious awards for his socially conscious films.
Step 1: Finding the award year of Bhuvan Shome.
Bhuvan Shome was released in:
\[
1969
\]
It became one of the earliest important parallel cinema films and received national recognition before the other films listed here.
Thus:
\[
B \text{ comes first}
\]
Step 2: Finding the award year of Mrigayaa.
Mrigayaa (Mirgya) was released in:
\[
1976
\]
The film received major national recognition after Bhuvan Shome.
Therefore:
\[
A \text{ comes after } B
\]
Step 3: Finding the award year of Kharij.
Kharij was released in:
\[
1982
\]
This film came later in Mrinal Sen's career and received major acclaim afterward.
Hence:
\[
C \text{ comes after } A
\]
Step 4: Finding the award year of Akaler Sandhane.
Akaler Sandhane belongs to the later phase of Mrinal Sen's internationally acclaimed works and comes after the above films in recognition chronology.
Thus:
\[
D \text{ comes last}
\]
Step 5: Final chronological arrangement.
The correct sequence becomes:
\[
\textit{Bhuvan Shome} \rightarrow \textit{Mrigayaa} \rightarrow \textit{Kharij} \rightarrow \textit{Akaler Sandhane}
\]
Thus:
\[
\boxed{B, A, C, D}
\]