The equation, `Mg_((s))+CuO_((s))toMgO_((s))+Cu_((s))` represents
(A) Decomposition reaction
(B) Displacement reaction
( C) Combination reaction
(D) Double displacement reaction
(E) Redox reaction

Options

A. A and B
B. C and D
C. B and E
D. D and E

Explanation

To determine the type of reaction represented by the equation \( \text{Mg}_{(s)} + \text{CuO}_{(s)} \rightarrow \text{MgO}_{(s)} + \text{Cu}_{(s)} \), we will analyze the characteristics of different types of chemical reactions.

### Step 1: Identify the Reactants and Products
The reactants in this equation are magnesium (Mg) and copper(II) oxide (CuO). The products are magnesium oxide (MgO) and copper (Cu).

### Step 2: Analyze the Reaction Type
1. **Decomposition Reaction**: This type of reaction occurs when a single reactant breaks down into two or more simpler products. In our case, we have two reactants forming two products, so this is not a decomposition reaction.

2. **Displacement Reaction**: In a displacement reaction, a more reactive element displaces a less reactive element from its compound. Here, magnesium (a more reactive metal) displaces copper from copper oxide, forming magnesium oxide and releasing copper. This fits the definition of a displacement reaction.

3. **Combination Reaction**: A combination reaction involves two or more reactants combining to form a single product. Since we have two reactants forming two products, this is not a combination reaction.

4. **Double Displacement Reaction**: In double displacement reactions, two compounds exchange ions or elements to form two new compounds. This does not apply here as we do not have an exchange of ions between two compounds.

5. **Redox Reaction**: A redox reaction involves both oxidation and reduction processes. In this reaction, magnesium is oxidized (loses electrons) while copper oxide is reduced (gains electrons). Since both processes are occurring, this reaction also qualifies as a redox reaction.

### Conclusion
The equation represents both a **displacement reaction** and a **redox reaction**. Therefore, the correct answers are (B) Displacement reaction and (E) Redox reaction.