According to the tranistion state theory, for the formation of on activation complex, one of the vibrational degree of freedom is converted into the tranistion degree of freedom.
Reason (R ): The energy of the activated complex is higher than the energy of the reactant molecules.

Options

A. If both `(A)` and `(R )` are correct, and `(R )` is the correct explnation of `(A)`.
B. If both `(A)` and `(R )` are correct, but `(R )` is noth the correct explanation of `(A)`.
C. If `(A)` is correct, but `(R )` is incorrect.
D. If `(A)` is incorrect, but `(R )` is correct.

Explanation

To solve the question regarding the transition state theory and the activation complex, we will break down the concepts step by step.

### Step 1: Understanding the Transition State Theory
The transition state theory explains how reactants convert into products during a chemical reaction. It posits that there is a high-energy state, known as the activated complex or transition state, which must be reached for the reaction to proceed.

**Hint:** Recall that the transition state is a temporary state that occurs during the transformation from reactants to products.

### Step 2: Formation of the Activation Complex
According to the transition state theory, during the formation of the activation complex, one of the vibrational degrees of freedom of the reactant molecules is converted into a transition degree of freedom. This means that as the reactants collide and vibrate, they gain enough energy to reach the transition state.

**Hint:** Think about how energy is transferred during molecular collisions and how this affects molecular vibrations.

### Step 3: Energy Considerations
The energy of the activated complex is indeed higher than the energy of the reactant molecules. This is because the activated complex represents a state where the bonds are partially broken and formed, requiring additional energy compared to the stable reactants.

**Hint:** Visualize the energy profile of a reaction, where the peak represents the transition state, which is always at a higher energy level than the reactants.

### Step 4: Analyzing the Statements
Now, we analyze the two statements given in the question:
- Statement A: "For the formation of an activation complex, one of the vibrational degrees of freedom is converted into transition degree of freedom."
- Statement R: "The energy of the activated complex is higher than the energy of the reactant molecules."

Both statements are correct based on the principles of transition state theory. However, while Statement A explains the formation of the activation complex, Statement R provides information about the energy levels but does not directly explain why the vibrational degree of freedom is converted.

**Hint:** Consider the relationship between the statements and whether one logically explains the other.

### Step 5: Conclusion
Both statements A and R are correct, but R is not the correct explanation of A. Therefore, the correct answer is that both statements are true, but R does not explain A.

**Final Answer:** Both A and R are correct, but R is not the correct explanation of A.