The uncertainty in the position and velocity of a particle are `10^(-10)` m and `5.27 xx 10^(-24) ms^(-1)` respectively. Calculate the mass of the particle.

Explanation

To calculate the mass of the particle using the uncertainty principle, we will follow these steps:

### Step 1: Understand the Heisenberg Uncertainty Principle
The Heisenberg Uncertainty Principle states that the product of the uncertainty in position (Δx) and the uncertainty in momentum (Δp) is equal to or greater than a constant value. Mathematically, it can be expressed as:
\[ \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \]
where:
...