A nuclear reaction is accompanied by loss of mass equivalent to 0.01864 amu. Energy liberated is:

Options

A. 931 MeV
B. 186.6 MeV
C. 17.36 MeV
D. 460 MeV

Answer

To solve the problem of finding the energy liberated in a nuclear reaction given the loss of mass, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given data**:
- Loss of mass equivalent (ΔM) = 0.01864 amu.

2. **Use the formula for energy liberated**:
- The energy (E) liberated in a nuclear reaction can be calculated using the formula:
\[ E = \Delta M \times 931 \text{ MeV} \]
- Here, 931 MeV (mega electron volts) is the energy equivalent of 1 atomic mass unit (amu).

3. **Substitute the value of ΔM into the formula**:
- Substitute ΔM = 0.01864 amu into the equation:
\[ E = 0.01864 \text{ amu} \times 931 \text{ MeV} \]

4. **Perform the multiplication**:
- Calculate the energy:
\[ E = 0.01864 \times 931 \approx 17.35324 \text{ MeV} \]

5. **Round the result**:
- Round 17.35324 MeV to two decimal places:
\[ E \approx 17.36 \text{ MeV} \]

6. **Select the correct option**:
- The closest option to our calculated value is 17.36 MeV.

### Final Answer:
The energy liberated is approximately **17.36 MeV**.

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