Consider the following statements and arrange in the order of true/false as given in the codes .
`S_1`:Concentrated solution of an alkali metal in liquid ammonia is diamagnetic.
`S_2`:Increasing stability of the peroxide and super oxide of alkaline earth metal down the group is due to the stabilisation of large anions by large cations through lattice energy effects.
`S_3`:In the vapour phase `BeCl_2` tends to form a chloro-bridged dimer.
`S_4`:Beryllium hydroxide reacts with acid and alkali both to form `[Be(OH_2)_4]Cl_2` and `[Be(OH)_4]^(2-)` respectively.

Options

A. T T T T
B. F F F F
C. T F T F
D. F T F T

Explanation

To solve the question, we will evaluate each statement one by one to determine whether they are true or false.

### Step 1: Evaluate Statement S1
**Statement S1**: Concentrated solution of an alkali metal in liquid ammonia is diamagnetic.

- In a concentrated solution of alkali metals in liquid ammonia, the alkali metal reacts with ammonia to form solvated electrons. At low concentrations, these electrons remain unpaired, making the solution paramagnetic. However, at higher concentrations, the electrons pair up, resulting in a diamagnetic solution.

**Conclusion**: S1 is **True**.

### Step 2: Evaluate Statement S2
**Statement S2**: Increasing stability of the peroxide and superoxide of alkaline earth metal down the group is due to the stabilization of large anions by large cations through lattice energy effects.

- The stability of peroxides and superoxides increases down the group because larger cations can better stabilize the larger anions (peroxide and superoxide ions) through lattice energy. As we move down the group, the size of the cations increases, which enhances their ability to stabilize larger anions.

**Conclusion**: S2 is **True**.

### Step 3: Evaluate Statement S3
**Statement S3**: In the vapor phase, BeCl2 tends to form a chloro-bridged dimer.

- In the vapor phase, BeCl2 can exist in different forms. At temperatures below 1200 K, it forms a chloro-bridged dimer, while at higher temperatures, it dissociates into a linear molecule. Thus, the statement is accurate regarding its behavior in the vapor phase.

**Conclusion**: S3 is **True**.

### Step 4: Evaluate Statement S4
**Statement S4**: Beryllium hydroxide reacts with acid and alkali both to form [Be(OH2)4]Cl2 and [Be(OH)4]^(2-) respectively.

- Beryllium hydroxide is an amphoteric compound, which means it can react with both acids and bases. When it reacts with an acid, it forms [Be(OH2)4]Cl2, and when it reacts with a base, it forms [Be(OH)4]^(2-). This statement is consistent with the behavior of amphoteric compounds.

**Conclusion**: S4 is **True**.

### Final Arrangement of Statements
Based on the evaluations:
- S1: True
- S2: True
- S3: True
- S4: True

### Answer
All statements (S1, S2, S3, S4) are **True**.