Auto-oxidation refers to a chemical reaction in which a substance undergoes spontaneous oxidation in the presence of oxygen or air. In this process, the substance reacts with oxygen, resulting in the formation of an oxidized product. One such example of auto-oxidation is the formation of hydrogen peroxide (H2O2) by the oxidation of water (H2O).

Formation of H2O2 by the oxidation of H2O:
When water (H2O) comes into contact with atmospheric oxygen, it can undergo auto-oxidation. This reaction involves the oxidation of water molecules, resulting in the formation of hydrogen peroxide (H2O2). The reaction can be represented as follows:

2 H2O + O2 → 2 H2O2

This reaction occurs naturally in the environment, especially in the presence of certain catalysts such as transition metals. Hydrogen peroxide is a powerful oxidizing agent and can further react with other substances, leading to various chemical processes.

Oxidation of H2O:
On the other hand, the oxidation of water (H2O) refers to a different reaction. It involves the loss of electrons by water molecules, resulting in the generation of oxygen gas (O2) and protons (H+). This reaction is commonly observed in the electrolysis of water, where an electric current is passed through water to facilitate the oxidation process.

2 H2O → O2 + 4 H+ + 4 e-

Both (1) and (2) are true:
Based on the given options, the correct answer is option (c) - Both (1) and (2) are true. This means that auto-oxidation can result in the formation of hydrogen peroxide (H2O2) by the oxidation of water (H2O), as well as the oxidation of water itself. It is important to note that these reactions occur under specific conditions and may involve different factors such as catalysts, temperature, and pressure.

In conclusion, auto-oxidation involves the spontaneous oxidation of a substance in the presence of oxygen. One example of auto-oxidation is the formation of hydrogen peroxide (H2O2) by the oxidation of water (H2O). Additionally, the oxidation of water itself can also occur, resulting in the generation of oxygen gas (O2) and protons (H+). Both of these reactions are true and contribute to the understanding of auto-oxidation processes.