A nuclide of an alkaine earth metal undergoes radioactive deacy by emission of three `alpha-` particles in sucession. The group of the periodic tablle to which the resulting daughter element would belong to:

Options

A. group 4
B. group 16
C. group 14
D. group 6

Explanation

To determine the group of the periodic table to which the resulting daughter element belongs after an alkaline earth metal nuclide undergoes radioactive decay by emitting three alpha particles, we can follow these steps:

### Step 1: Identify the Initial Element
Alkaline earth metals belong to Group 2 of the periodic table. Let's denote the initial alkaline earth metal as element A with atomic number \( Z \) and atomic mass \( A \).

### Step 2: Understand Alpha Decay
Alpha decay involves the emission of an alpha particle, which consists of 2 protons and 2 neutrons. Each time an alpha particle is emitted, the atomic number of the element decreases by 2, and the atomic mass decreases by 4.

### Step 3: Calculate Changes After Emitting Three Alpha Particles
Since three alpha particles are emitted, we can calculate the changes in atomic number and atomic mass as follows:

- **Change in Atomic Number**:
\[ Z_{\text{final}} = Z - 2 \times 3 = Z - 6 \]

- **Change in Atomic Mass**:
\[ A_{\text{final}} = A - 4 \times 3 = A - 12 \]

### Step 4: Determine the Group of the Daughter Element
After the emission of three alpha particles, the resulting daughter element will have an atomic number of \( Z - 6 \).

Since the original element A is from Group 2, we know that:

- Group 2 elements have atomic numbers ranging from 4 (Beryllium) to 88 (Radium).
- The group number of an element can be determined by its atomic number.

To find the group of the daughter element:
- If the original element is in Group 2, subtracting 6 from its atomic number will place it in Group 14 (since Group 2 - 6 = Group 14).

### Conclusion
Thus, the resulting daughter element after the emission of three alpha particles from an alkaline earth metal will belong to **Group 14** of the periodic table.