Step 1: Understanding the Uses of Each Compound
- Titanium dioxide (\(\mathrm{TiO_2}\)) is widely used in the pigment industry due to its brilliant white color and high refractive index. It is a common white pigment in paints, plastics, and cosmetics.
- Manganese dioxide (\(\mathrm{MnO_2}\)) is used as a depolarizer in dry battery cells (especially alkaline and Leclanché cells). It helps in preventing the buildup of hydrogen gas, allowing the battery to function efficiently.
- Copper-nickel alloy (Cu/Ni) is used for making coins in many countries, but the UK 'copper' coins are not made from this alloy; historically, UK coins have had different compositions, often copper-plated steel or bronze alloys.
Step 2: Evaluating the Matching Pairs
Based on the above:
(i) \(\mathrm{TiO_2}\) – Pigment industry: Correct
(ii) \(\mathrm{MnO_2}\) – Dry battery cells: Correct
(iii) \(\mathrm{Cu/Ni}\) alloy – UK 'copper' coins: Incorrect
Step 3: Conclusion
Therefore, only pairs (i) and (ii) are correctly matched.