Which cell is used in automobiles and inverters?

The correct option is Lead storage cell.

To understand why a lead storage cell is used in automobiles and inverters, let us break down the features and functions of these batteries:
1. Secondary Cell Nature: A lead storage battery is a secondary cell, which means it can be recharged by passing a direct current through it in the opposite direction. This makes it ideal for automobiles (where the alternator recharges the battery while driving) and inverters (which recharge the battery when grid power is available).
2. High Current Capability: Automobiles require a very high initial current (cranking current) to start the internal combustion engine. Lead-acid batteries have low internal resistance, allowing them to discharge large currents quickly.
3. Voltage output: Each individual cell in a lead storage battery provides a potential of about 2 V. By connecting six cells in series, a standard 12 V battery is obtained, which is the standard voltage requirement for most automotive electrical systems.
4. Electrochemistry:
During discharge, the following chemical reactions occur:
At Anode: $\mathrm{Pb}\left(s\right)+{\mathrm{SO}}_4^{2-}\left(\mathrm{aq}\right)\to {\mathrm{PbSO}}_4\left(s\right)+2e^{-}$
At Cathode: ${\mathrm{PbO}}_2\left(s\right)+{\mathrm{SO}}_4^{2-}\left(\mathrm{aq}\right)+4H^{+}\left(\mathrm{aq}\right)+2e^{-}\to {\mathrm{PbSO}}_4\left(s\right)+2H_{2}O\left(l\right)$

Comparing other options:
- Mercury cells are miniature cells used in low-drain devices like hearing aids and watches.
- Dry cells (like Leclanché cells) are primary cells (non-rechargeable) commonly used in flashlights, clocks, and TV remotes.
- Fuel cells convert the combustion energy of fuels like hydrogen directly into electrical energy, used in specialized applications like space vehicles, but not standard automobiles or home inverters.