The half life of 2g sample of radioactive nuclide 'X' is 15 min. The half life time of 1g sample of X is

Options

A. 7.5 min
B. 15 min
C. 22.5 min
D. 30 min

Answer

To solve the problem, we need to understand the concept of half-life in radioactive decay. The half-life of a radioactive nuclide is the time required for half of the radioactive atoms in a sample to decay.

### Step-by-Step Solution:

1. **Identify the Given Information**:
- The half-life of a 2g sample of radioactive nuclide 'X' is given as 15 minutes.

2. **Understand the Concept of Half-Life**:
- The half-life of a radioactive substance is a characteristic property that does not depend on the amount of substance present. This means that regardless of whether we have a 2g sample or a 1g sample, the half-life remains the same.

3. **Apply the Concept**:
- Since the half-life is independent of the amount of substance, the half-life of a 1g sample of nuclide 'X' will also be the same as that of the 2g sample.

4. **Conclusion**:
- Therefore, the half-life of a 1g sample of radioactive nuclide 'X' is also 15 minutes.

### Final Answer:
The half-life of a 1g sample of radioactive nuclide 'X' is 15 minutes.

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