Calculate the uncertainty in the position of a dust particle with mass equal to `1 mg` if the uncertiainty in its velocity is `5.5 xx 10^(-20)ms^(-1)`

Explanation

To calculate the uncertainty in the position of a dust particle using Heisenberg's uncertainty principle, we can follow these steps:

### Step 1: Understand Heisenberg's Uncertainty Principle
Heisenberg's uncertainty principle states that the uncertainty in position (Δx) and the uncertainty in momentum (Δp) are related by the equation:
\[ \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \]
where:
- \( \Delta x \) = uncertainty in position
- \( \Delta p \) = uncertainty in momentum
...