In dry cell batteries, various metal oxides are used as cathode materials. Among the given options:
- ZnO (A): Zinc oxide is used in some battery chemistries but not typically in dry cells.
- TiO (B): Titanium oxide is not commonly used in dry cell batteries.
- \( \text{V}_2\text{O}_5 \) (C): Vanadium pentoxide is used in some special battery chemistries but is not the primary component in dry batteries.
- NiO (D): Nickel oxide is used in certain types of rechargeable batteries (like Ni-Cd batteries), but not in dry cell batteries.
- \( \text{MnO}_2 \) (E): Manganese dioxide (\( \text{MnO}_2 \)) is widely used as the cathode material in alkaline batteries, which are a type of dry cell battery.\]
Thus, the correct answer is (E) \( \text{MnO}_2 \), as it is commonly used in dry cell batteries.