The half life period of a radioactive elements does not depend upon:

Options

A. Temperature
B. Pressure
C. Initial amount of radioactive element taken
D. Nature of radioactive element

Answer

To solve the question regarding the factors that do not affect the half-life period of a radioactive element, we can follow these steps:

### Step 1: Understand the Concept of Half-Life
The half-life of a radioactive element is the time required for half of the radioactive atoms in a sample to decay. It is a characteristic property of the element.

### Step 2: Identify the Formula for Half-Life
The half-life (T_half) for a first-order radioactive decay can be expressed as:
\[ T_{half} = \frac{0.693}{\lambda} \]
where \(\lambda\) is the decay constant.

### Step 3: Analyze Each Option
1. **Temperature**: The half-life is independent of temperature. The decay constant \(\lambda\) does not change with temperature for a given radioactive element.

2. **Pressure**: Similar to temperature, the half-life does not depend on pressure. The decay process is not influenced by external pressure conditions.

3. **Initial Amount of Radioactive Element**: The half-life is also independent of the initial amount of the radioactive substance. The formula for half-life does not include the initial quantity.

4. **Nature of Radioactive Element**: The half-life is specific to each radioactive isotope, but it does not depend on the nature of the element in a broader sense. However, the decay constant \(\lambda\) does depend on the nature of the radioactive element.

### Step 4: Conclusion
Based on the analysis:
- The half-life period of a radioactive element does not depend on temperature, pressure, or the initial amount of the radioactive element. However, it is dependent on the nature of the radioactive element when considering the decay constant.

Thus, the answer is that the half-life period does not depend on the initial amount of radioactive element taken.

### Final Answer
The half-life period of a radioactive element does not depend upon the initial amount of radioactive element taken.

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