The uncertainties in velocities of particles A and B are and respectively. If the mass of B is times — Atomic Structure Chemistry Question
Question
The uncertainties in velocities of particles A and B are $0.05 \text{ m/s}$ and $0.02 \text{ m/s}$ respectively. If the mass of B is $5$ times the mass of A, the ratio of uncertainties in their positions ($\Delta x_A / \Delta x_B$) is:
Answer: C
💡 Solution & Explanation
$\Delta x = h / (4\pi m \Delta v)$. Ratio $\Delta x_A / \Delta x_B = (m_B \cdot \Delta v_B) / (m_A \cdot \Delta v_A) = (5m_A \cdot 0.02) / (m_A \cdot 0.05) = 0.10 / 0.05 = 2$.
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