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 the Heisenberg Uncertainty Principle, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Heisenberg Uncertainty Principle**:
The principle states that the uncertainty in position (Δx) multiplied by the uncertainty in momentum (Δp) is equal to or greater than a constant (h/4π). The equation is given by:
\[
\Delta x \cdot \Delta v = \frac{h}{4\pi m}
...