On the basis of uncertainty principle show that an electron cannot exist with in atomic nucleus. (Given : Nuclear radius = `10^(-15)` m)

Explanation

To show that an electron cannot exist within an atomic nucleus based on the Heisenberg Uncertainty Principle, we will follow these steps:

### Step 1: Understand the Heisenberg Uncertainty Principle
The Heisenberg Uncertainty Principle states that it is impossible to know both the position (Δx) and momentum (Δp) of a particle with absolute certainty. The principle can be mathematically expressed as:
\[ \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \]
where:
- \( \Delta x \) is the uncertainty in position,
- \( \Delta p \) is the uncertainty in momentum,
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