Choose the correct product of nuclear reaction ,
`""_7N^(14) +""_0n^1 to ""_6C^(14)+`……..

Options

A. proton and electron
B. Neutron
C. Deutron
D. Electron

Answer

To solve the nuclear reaction \( _7N^{14} + _0n^1 \rightarrow _6C^{14} + ? \), we need to determine the unknown particle produced in the reaction. Here are the steps to find the correct product:

### Step 1: Write down the initial and final particles
The initial particles in the reaction are:
- Nitrogen: \( _7N^{14} \) (7 protons, 14 nucleons)
- Neutron: \( _0n^1 \) (0 protons, 1 nucleon)

The final particle given is:
- Carbon: \( _6C^{14} \) (6 protons, 14 nucleons)

### Step 2: Calculate the total number of protons and nucleons
**Initial side:**
- Total protons = 7 (from nitrogen) + 0 (from neutron) = 7 protons
- Total nucleons = 14 (from nitrogen) + 1 (from neutron) = 15 nucleons

**Final side:**
- Total protons = 6 (from carbon) + ? (unknown particle)
- Total nucleons = 14 (from carbon) + ? (unknown particle)

### Step 3: Set up equations for conservation of protons and nucleons
From the conservation of protons:
\[ 7 = 6 + x \]
Where \( x \) is the number of protons in the unknown particle.

From the conservation of nucleons:
\[ 15 = 14 + y \]
Where \( y \) is the number of nucleons in the unknown particle.

### Step 4: Solve the equations
From the proton conservation equation:
\[ x = 7 - 6 = 1 \]
This means the unknown particle has 1 proton.

From the nucleon conservation equation:
\[ y = 15 - 14 = 1 \]
This means the unknown particle has 1 nucleon.

### Step 5: Identify the unknown particle
A particle with 1 proton and 1 nucleon is a proton, denoted as \( _1p^1 \) or simply \( _0n^1 \).

### Conclusion
The complete nuclear reaction is:
\[ _7N^{14} + _0n^1 \rightarrow _6C^{14} + _1p^1 \]

Thus, the correct product of the nuclear reaction is a proton.

### Final Answer
The correct product of the nuclear reaction is \( _1p^1 \) (a proton).

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