The uncertainty in position and velocity of a particle are m and m·s, respectively. The mass of the — Atomic Structure Chemistry Question

💡 Solution & Explanation

Using $\Delta x \cdot m \Delta v = \frac{h}{4\pi}$, we solve for mass $m = \frac{h}{4\pi \Delta x \Delta v}$. Substituting values gives $m = \frac{6.626 \times 10^{-34}}{4 \times 3.1416 \times 10^{-11} \times 5.27 \times 10^{-24}} \approx \frac{6.626}{12.566 \times 5.27} \times 10^{-34+35} \approx \frac{6.626}{66.2} \times 10 = 0.1 \times 10 = 1$ kg. Therefore, correct answer is 1.