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The position of both an electron and a helium atom is simultaneously known within a precision of . WAtomic Structure Chemistry Question

Question

The position of both an electron and a helium atom is simultaneously known within a precision of $1.0 \text{ nm}$. Which of the following statements logically follow from this premise?

Answer: A,B,C

💡 Solution & Explanation

Since $\Delta x$ is identical for both particles, the minimum $\Delta p$ required to satisfy $\Delta x \cdot \Delta p \ge \frac{h}{4\pi}$ will also be identical. However, $\Delta v = \frac{\Delta p}{m}$. Since the electron has a much smaller mass than the helium atom, its uncertainty in velocity ($\Delta v$) will be significantly larger.

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