The correct option is (C) Assertion is false but the reason is true.
Assertion: Mercury cells give a steady potential because, they do not involve the movement of ions. Thus, the assertion is false.
The reactions inside a mercury cell are as follows:
At anode:
Zn(Hg) + 20H → ZnO(s) + H2O + 2e−
At cathode:
HgO + H2O + 2e(−) → Hg(l) + 2OH
Over all reaction
Zn(Hg) + HgO(s) → ZnO(s) + Hg(l)
The cell potential value is ~1.35 V and remains constant throughout its life as they
do not involve any ion whose concentration varies during its lifetime. Thus, it gives a
steady potential throughout its life.
Thus, the reason is true.
Hence, the assertion is false, but the reason is true.