If an atom of `_92^235U`, after absorbing a slow neutron, undergoes fission to form an atom of `-54^138 Xe` and an atom of `_38^94Sr`, the other particles produced are

Options

A. (a) one proton and two neutrons
B. (b) three neutrons
C. (c) two neutrons
D. (d) one proton and one neutron

Answer

To solve the problem, we need to analyze the fission reaction of Uranium-235 after it absorbs a neutron. Here are the steps to find the other particles produced:

### Step 1: Write the Fission Reaction
The fission reaction can be represented as follows:

\[ _92^{235}U + n \rightarrow _{54}^{138}Xe + _{38}^{94}Sr + X \]

Where \(X\) represents the other particles produced.

### Step 2: Apply Conservation of Atomic Number
The conservation of atomic number states that the total atomic number before the reaction must equal the total atomic number after the reaction.

The atomic numbers are:
- Uranium (U): 92
- Neutron (n): 0
- Xenon (Xe): 54
- Strontium (Sr): 38
- Unknown particle (X): Z

Setting up the equation:

\[ 92 + 0 = 54 + 38 + Z \]

### Step 3: Solve for Z
Now, we can solve for Z:

\[ 92 = 54 + 38 + Z \]
\[ 92 = 92 + Z \]
\[ Z = 0 \]

### Step 4: Apply Conservation of Mass Number
Next, we apply the conservation of mass number, which states that the total mass number before the reaction must equal the total mass number after the reaction.

The mass numbers are:
- Uranium (U): 235
- Neutron (n): 1
- Xenon (Xe): 138
- Strontium (Sr): 94
- Unknown particle (X): A

Setting up the equation:

\[ 235 + 1 = 138 + 94 + A \]

### Step 5: Solve for A
Now, we can solve for A:

\[ 236 = 138 + 94 + A \]
\[ 236 = 232 + A \]
\[ A = 236 - 232 \]
\[ A = 4 \]

### Step 6: Identify the Particle
Now that we have both Z and A:
- Z = 0 (indicating it is a neutral particle)
- A = 4

The particle with mass number 4 and atomic number 0 is a **Helium-4 nucleus** (also known as an alpha particle).

### Conclusion
The other particles produced in the fission reaction of Uranium-235 are **3 neutrons** and **1 alpha particle**.

### Final Answer
Thus, the final answer is that the other particles produced are **3 neutrons and 1 alpha particle**.

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