Identify the correct option for the order of specific charge of the
given particles.

Options

A. `n lt alpha lt p lt e` (considering sign of charged particle)
B. `n lt alpha lt p lt e` (not considering sign of charged particle)
C. `e lt n lt p lt alpha` (considering sign of charged particle)
D. `n lt e lt alpha lt p` (considering sign of chatged particle)

Explanation

To solve the question regarding the order of specific charge of the given particles (neutron, alpha particle, proton, and electron), we will follow these steps:

### Step 1: Understand Specific Charge
Specific charge is defined as the ratio of the charge (E) of a particle to its mass (m). Mathematically, it is expressed as:
\[ \text{Specific Charge} = \frac{E}{m} \]

### Step 2: Analyze Each Particle
1. **Neutron**:
- Charge (E) = 0 (neutron is neutral)
- Mass (m) = approximately \(1.675 \times 10^{-24} \, \text{g}\)
- Specific Charge = \( \frac{0}{1.675 \times 10^{-24}} = 0 \)

2. **Alpha Particle**:
- Charge (E) = +2e (where e is the elementary charge)
- Mass (m) = approximately \(4 \times 1.675 \times 10^{-24} \, \text{g} = 6.7 \times 10^{-24} \, \text{g}\)
- Specific Charge = \( \frac{2e}{6.7 \times 10^{-24}} \)

3. **Proton**:
- Charge (E) = +e
- Mass (m) = approximately \(1.675 \times 10^{-24} \, \text{g}\)
- Specific Charge = \( \frac{e}{1.675 \times 10^{-24}} \)

4. **Electron**:
- Charge (E) = -e
- Mass (m) = approximately \(9.1 \times 10^{-31} \, \text{g}\)
- Specific Charge = \( \frac{-e}{9.1 \times 10^{-31}} \)

### Step 3: Calculate the Specific Charge Values
- For the **neutron**: Specific Charge = 0
- For the **alpha particle**:
\[ \text{Specific Charge} = \frac{2e}{6.7 \times 10^{-24}} \approx 2.99 \times 10^{23} \, \text{C/kg} \]
- For the **proton**:
\[ \text{Specific Charge} = \frac{e}{1.675 \times 10^{-24}} \approx 5.96 \times 10^{24} \, \text{C/kg} \]
- For the **electron**:
\[ \text{Specific Charge} = \frac{-e}{9.1 \times 10^{-31}} \approx -1.76 \times 10^{11} \, \text{C/kg} \]

### Step 4: Order the Specific Charges
- Neutron: 0
- Alpha Particle: \( \approx 2.99 \times 10^{23} \, \text{C/kg} \)
- Proton: \( \approx 5.96 \times 10^{24} \, \text{C/kg} \)
- Electron: \( \approx -1.76 \times 10^{11} \, \text{C/kg} \)

### Step 5: Determine the Order
When considering the absolute values (ignoring the sign):
1. Electron: \( \approx 1.76 \times 10^{11} \)
2. Alpha Particle: \( \approx 2.99 \times 10^{23} \)
3. Proton: \( \approx 5.96 \times 10^{24} \)
4. Neutron: 0

Thus, the order from least to greatest specific charge (ignoring the sign) is:
- Neutron (0)
- Electron (negative value but higher in absolute terms)
- Alpha Particle
- Proton

### Final Answer
The correct order of specific charge of the particles is:
- Neutron < Electron < Alpha Particle < Proton