The answer is B: Ligand-gated ion channel.
Explanation for each option:
A. G-protein coupled receptor: These receptors typically activate intracellular signaling pathways through the production of second messengers, but they do not directly allow substances to pass through the membrane. Therefore, they would not allow the dye to enter the cell.
B. Ligand-gated ion channel: These receptors form a channel that opens in response to the binding of a ligand, allowing ions or other small molecules to pass through the membrane. If the dye is small enough to pass through the channel, this would explain how it enters the cell.
C. Receptor tyrosine kinase: These receptors are involved in signaling pathways that often lead to changes in gene expression or cellular activity, but they do not form channels that allow substances to pass through the membrane.
D. Receptor serine kinase: Similar to receptor tyrosine kinases, these receptors are involved in signaling pathways and do not form channels for substances to pass through the membrane.
In summary, the ligand likely bound to a ligand-gated ion channel, allowing the dye to enter the cell.