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The uncertainty in measuring speed of a particle is zero. Uncertainty in measuring its position willAtomic 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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