To match List I with List II, we need to understand the cell cycle phases and what activities occur in each phase:
G1 phase - This is the first phase within the interphase of the cell cycle. During this phase, cells are metabolically active and grow in size. However, they do not replicate their DNA in this stage. Option A: "Cells are metabolically active and proliferate" matches with the G_1 phase.
S phase - In this phase, DNA replication occurs, meaning the cell synthesizes a complete copy of its DNA in the nucleus. Option B: "DNA replication takes place" matches with the S phase.
G2 phase - This is the third phase of interphase, following DNA synthesis in the S phase. Here, the cell continues to grow and produces proteins necessary for cell division. Option C: "Proteins are synthesized" is characteristic of the G_2 phase.
G0 phase - This is a state outside of the replicative cell cycle. Cells in the G0 phase are in a quiescent state; they have left the cycle and stopped dividing but remain metabolically active. Option D: "Quiescent stage with metabolically active cells" matches with the G_0 phase.
Thus, the correct matching is:
A.
Cells are metabolically active and proliferate
ii.
G_1 \text{ phase}
B.
DNA replication takes place
iv.
S \text{ phase}
C.
Proteins are synthesised
i.
G_2 \text{ phase}
D.
Quiescent stage with metabolically active cells
iii.
G_0 \text{ phase}
Hence, the correct option is: A-II, B-IV, C-I, D-III.