Statement-1: An isolated radioactive atom may not decay at all whatever be its half life
Statement-2:Radioactive decay is a statistical phenomenon.

Options

A. a.Statement-1 is True , Statement-2 is True ,Statement-2 is a correct explanation for Statement-1
B. b.Statement-1 is True , Statement-2 is True ,Statement-2 is NOT a correct explanation for Statement-1
C. c.Statement-1 is True , Statement-2 is False
D. d.Statement-1 is False, Statement-2 is True

Answer

To analyze the statements provided in the question, we will evaluate each statement and determine their validity based on the principles of radioactive decay.

### Step-by-Step Solution:

1. **Understanding Statement 1**:
- The statement claims that "An isolated radioactive atom may not decay at all whatever be its half-life."
- In radioactive decay, each atom has a certain probability of decaying over a given period, which is characterized by its half-life. However, for a single isolated atom, there is no guarantee that it will decay within a specific timeframe, regardless of its half-life. This means that it is possible for an isolated atom to not decay at all.

2. **Understanding Statement 2**:
- The second statement asserts that "Radioactive decay is a statistical phenomenon."
- This is true. Radioactive decay follows a statistical distribution, meaning that while we can predict the behavior of a large number of atoms (using the half-life), the decay of individual atoms is random. The decay constant (λ) gives us the average rate of decay, but it does not dictate the exact moment an individual atom will decay.

3. **Conclusion**:
- Both statements are true. An isolated radioactive atom can indeed not decay at all, and radioactive decay is fundamentally a statistical phenomenon.

### Final Evaluation:
- **Statement 1**: True
- **Statement 2**: True