Answer:
Because sometimes, certain chemical reactions can excite/slow down an organism, and the action needs to be reversed to maintain normality.
The problem which led to the bursting of the cell is osmosis. This is specifically due to endosmosis which occurs because the cell failed to maintain its internal environment and thus expands and bursts.
Potassium ions are essential for cellular metabolism. Potassium ions are necessary for regulation of membrane potential and polarization and depolarization of the cell membrane. If a cell has too much potassium ions, the inside of the cell becomes hypertonic, with respect to its surrounding. This destabilizes the internal environment and leads to water entering the cell(endosmosis). As endosmosis occurs the cell starts to expand due to excessive water. This leads to expansion and tears and cracks in the cell. The further expansion of the cell leads to the bursting of the cell or lysis of the cell.
Learn more about osmosis here-
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D. The repressor is freed from the operator when lactose is present.
Think of a bacteria that comes into contact with some lactose sugar in milk. Normally it's not in milk, so the gene is repressed (prevented) from making the lac enzyme (which digests lactose). Now when it comes across some milk, it wants to make as much lac as possible to eat up all the lactose.
FYI: trp for tryptophan works the exact opposite with repressor blocking when trp IS PRESENT.
