The uncertainty in measuring speed of a particle is zero. Uncertainty in measuring its position will — Atomic Structure Chemistry Question
Question
The uncertainty in measuring speed of a particle is zero. Uncertainty in measuring its position will be
Answer: D
💡 Solution & Explanation
Heisenberg's uncertainty principle is $\Delta x \cdot \Delta p \ge \frac{h}{4\pi}$, and since $\Delta p = m\Delta v$, $\Delta x \ge \frac{h}{4\pi m \Delta v}$. If the uncertainty in speed $\Delta v$ approaches zero, the uncertainty in position $\Delta x$ must approach infinity to satisfy the inequality. Therefore, correct answer is D.
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