A dust particle has mass equal to `10^(11)g` dimeter equal to `10^(-4)` cm and velocity equal to`10^(-4) cms^(-1)` The error is the measurment of velocity is `0.1%` .Calculate the uncertiainty in its position

Explanation

To solve the problem, we will use Heisenberg's Uncertainty Principle, which 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:
- \( h \) is Planck's constant, approximately \( 6.626 \times 10^{-34} \, \text{Js} \).
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