The periodic table consists of 18 groups. An isotope of Cu, on bombardment with protons undergoes a nuclear reaction yielding element, X as shown below. To which group element X belongs to in the periodic table?
`""_(29)^(63)Cu + ""_(1)^(1)H rarr 6 ""_(0)^(1)n + ""_(2)^(4)alpha + 2 ""_(1)^(1)H + X`

Explanation

To determine the group of element X produced in the nuclear reaction involving copper (Cu), we need to analyze the given reaction step by step.

### Step 1: Write down the nuclear reaction
The nuclear reaction is given as:
\[ _{29}^{63}Cu + _{1}^{1}H \rightarrow 6 _{0}^{1}n + _{2}^{4}\alpha + 2 _{1}^{1}H + X \]

### Step 2: Identify the components of the reaction
- Copper (Cu) has an atomic number of 29 and a mass number of 63.
- Hydrogen (H) has an atomic number of 1 and a mass number of 1.
- Neutrons (n) have an atomic number of 0 and a mass number of 1.
- Alpha particles (α) have an atomic number of 2 and a mass number of 4.
- The element X is what we need to find.

### Step 3: Calculate the total atomic number and mass number before and after the reaction
**Before the reaction:**
- Total atomic number = 29 (Cu) + 1 (H) = 30
- Total mass number = 63 (Cu) + 1 (H) = 64

**After the reaction:**
- From the products:
- Neutrons: 6 × (atomic number 0, mass number 1) = 0 + 6 = 6
- Alpha particles: 1 × (atomic number 2, mass number 4) = 2 + 4 = 4
- Protons (H): 2 × (atomic number 1, mass number 1) = 2 + 2 = 2
- Total atomic number from products = 0 (neutrons) + 2 (alpha) + 2 (protons) = 4
- Total mass number from products = 6 (neutrons) + 4 (alpha) + 2 (protons) = 12

### Step 4: Set up equations for conservation of atomic number and mass number
1. **Conservation of Atomic Number:**
\[ 30 = 4 + Z_X \quad \text{(where \(Z_X\) is the atomic number of X)} \]
Solving for \(Z_X\):
\[ Z_X = 30 - 4 = 26 \]

2. **Conservation of Mass Number:**
\[ 64 = 12 + A_X \quad \text{(where \(A_X\) is the mass number of X)} \]
Solving for \(A_X\):
\[ A_X = 64 - 12 = 52 \]

### Step 5: Identify element X
The element with atomic number 26 is Iron (Fe). Therefore, element X is:
\[ X = _{26}^{52}Fe \]

### Step 6: Determine the group of element X in the periodic table
Iron (Fe) belongs to group 8 in the periodic table.

### Final Answer
Element X belongs to group 8 in the periodic table.

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