Properties of the alkaline earth metals that increase from Be to Ba include which of the following?
(i) Atomic radius (ii) Ionization energy
(iii) Nuclear charge

Options

A. (i) and (ii)
B. (i) and (iii)
C. (ii) and (iii)
D. (i), (ii) and (iii)

Explanation

To determine which properties of alkaline earth metals increase from beryllium (Be) to barium (Ba), we will analyze each of the given properties: atomic radius, ionization energy, and nuclear charge.

### Step 1: Analyze Atomic Radius
- **Definition**: The atomic radius is the distance from the nucleus to the outermost shell of electrons.
- **Trend**: As we move down the group from Be to Ba, the atomic radius increases.
- **Reason**: This increase is due to the addition of electron shells. Each subsequent element has an additional shell, which increases the distance between the nucleus and the outermost electrons, leading to a larger atomic radius.

### Step 2: Analyze Ionization Energy
- **Definition**: Ionization energy is the energy required to remove an electron from an atom in its gaseous state.
- **Trend**: As we move down the group from Be to Ba, the ionization energy decreases.
- **Reason**: With the increase in atomic size, the outermost electron is further from the nucleus and is less tightly held due to increased shielding from inner electron shells. This makes it easier to remove the outermost electron, thus lowering the ionization energy.

### Step 3: Analyze Nuclear Charge
- **Definition**: Nuclear charge refers to the total charge of the nucleus, which is determined by the number of protons.
- **Trend**: As we move down the group from Be to Ba, the nuclear charge increases.
- **Reason**: Each successive element has more protons in its nucleus (Be has 4 protons, Mg has 12, Ca has 20, Sr has 38, and Ba has 56). Thus, the nuclear charge increases as we go down the group.

### Conclusion
From the analysis:
- **Atomic Radius**: Increases from Be to Ba.
- **Ionization Energy**: Decreases from Be to Ba.
- **Nuclear Charge**: Increases from Be to Ba.

Thus, the properties that increase from Be to Ba are:
- (i) Atomic radius
- (iii) Nuclear charge

The correct answer is (i) and (iii).