The reaction which disintegrates neutron is or neutron is emitted (which completes first):

Options

A. `Am_96^240 + He_2^4 to Bk_97^244 + e_(+1)^0`
B. `P_15^30 to Si_14^30 + e_(+1)^0`
C. `H_1^1 + C_6^12 to N_7^13`
D. `Al_13^27 + He_2^4 to P_15^30`

Answer

To determine which reaction emits a neutron, we need to analyze the given options based on the conservation of atomic and mass numbers. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Representation of Neutrons
Neutrons are represented as \( \text{n} \) or \( \text{1}_{0} \) in nuclear reactions. They have no charge and are essential for balancing nuclear equations.

**Hint:** Remember that neutrons do not carry a charge and are represented by their mass number (1) and atomic number (0).

### Step 2: Analyze Each Option
We will go through each option provided in the question to see if a neutron is emitted.

#### Option 1:
\[ \text{Am}_{240}^{96} + \text{He}_{4}^{2} \rightarrow \text{Ek}_{244}^{97} + \text{e}^{+}_{1}^{0} \]
- **Atomic Number Check:**
- Left: \( 96 + 2 = 98 \)
- Right: \( 97 + 1 = 98 \)
- (Balanced)

- **Mass Number Check:**
- Left: \( 240 + 4 = 244 \)
- Right: \( 244 \)
- (Balanced)

**Conclusion:** No neutron is emitted.

#### Option 2:
\[ \text{E}_{30}^{15} \rightarrow \text{Si}_{30}^{14} + \text{e}^{+}_{1}^{0} \]
- **Atomic Number Check:**
- Left: \( 15 \)
- Right: \( 14 + 1 = 15 \)
- (Balanced)

- **Mass Number Check:**
- Left: \( 30 \)
- Right: \( 30 \)
- (Balanced)

**Conclusion:** No neutron is emitted.

#### Option 3:
\[ \text{p}_{1}^{1} + \text{C}_{12}^{6} \rightarrow \text{N}_{13}^{7} \]
- **Atomic Number Check:**
- Left: \( 1 + 6 = 7 \)
- Right: \( 7 \)
- (Balanced)

- **Mass Number Check:**
- Left: \( 1 + 12 = 13 \)
- Right: \( 13 \)
- (Balanced)

**Conclusion:** No neutron is emitted.

#### Option 4:
\[ \text{Al}_{27}^{13} + \text{He}_{4}^{2} \rightarrow \text{Si}_{30}^{15} + \text{n}_{1}^{0} \]
- **Atomic Number Check:**
- Left: \( 13 + 2 = 15 \)
- Right: \( 15 \)
- (Balanced)

- **Mass Number Check:**
- Left: \( 27 + 4 = 31 \)
- Right: \( 30 + 1 = 31 \)
- (Balanced)

**Conclusion:** A neutron is emitted to balance the equation.

### Final Answer
The reaction that emits a neutron is **Option 4**.