The uncertainties 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 `(h= 6.625 xx 10^(-24) J.s)`

Explanation

To solve the problem of calculating the mass of the particle given the uncertainties in position and velocity, we can use Heisenberg's Uncertainty Principle. Here’s a step-by-step solution:

### Step 1: Understand Heisenberg's Uncertainty Principle
Heisenberg's Uncertainty Principle states that the product of the uncertainties in position (Δx) and momentum (Δp) is greater than or equal to a constant:
\[ \Delta x \cdot \Delta p \geq \frac{h}{4\pi} \]
where \( h \) is Planck's constant.

### Step 2: Relate momentum to mass and velocity
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