Under Wolff-Kishner reduction conditions, the conversion which may be brought about is:

Options

A. a.Benzophenone to diphenyl methane
B. b.Benzaldehyde to benzyl alcohol
C. c.Cyclohexanone to cyclohexane
D. d.Cyclohexanone to cyclohexanol

Explanation

To solve the question regarding the conversions that can be achieved under Wolff-Kishner reduction conditions, we will analyze the process step by step.

### Step-by-Step Solution:

1. **Understanding Wolff-Kishner Reduction**:
The Wolff-Kishner reduction is a method used to convert carbonyl groups (C=O) such as aldehydes and ketones into hydrocarbons. This reaction involves hydrazine (NH2NH2) and a strong base, typically potassium hydroxide (KOH), in a high-boiling solvent like ethylene glycol.

2. **General Reaction Mechanism**:
- The carbonyl compound (either an aldehyde or a ketone) is treated with hydrazine (NH2NH2) to form a hydrazone intermediate.
- Upon heating in the presence of a strong base, the hydrazone undergoes dehydrogenation, leading to the elimination of nitrogen gas (N2) and resulting in the formation of a hydrocarbon.

3. **Analyzing the Options**:
- **Option A: Benzophenone to Dimethyl Diphenyl Methane**:
- Benzophenone (C6H5)2C=O is treated with NH2NH2 and KOH. The carbonyl group is reduced to a methylene group (CH2), resulting in dimethyl diphenyl methane (C6H5)2CH2. This option is correct.

- **Option B: Benzaldehyde to Benzyl Alcohol**:
- Benzaldehyde (C6H5CHO) would undergo Wolff-Kishner reduction to form toluene (C6H5CH3), not benzyl alcohol (C6H5CH2OH). Therefore, this option is incorrect.

- **Option C: Cyclohexanone to Cyclohexane**:
- Cyclohexanone (C6H10O) is reduced to cyclohexane (C6H12) under Wolff-Kishner conditions. This option is correct.

4. **Final Conclusion**:
The correct conversions under Wolff-Kishner reduction conditions are:
- Option A: Correct (Benzophenone to Dimethyl Diphenyl Methane)
- Option B: Incorrect (Benzaldehyde does not convert to Benzyl Alcohol)
- Option C: Correct (Cyclohexanone to Cyclohexane)

Thus, the correct answers are **A and C**.