Chemistry · Structure of atom
हिन्दीA golf ball has a mass of \( 40 \text{ g} \), and a speed of \( 45 \text{ m s}^{-1} \). If the speed can be measured within accuracy of \( 2\% \), calculate the uncertainty in the position (\( \Delta x \)).
View Answer & Solution
Correct answer · Option B
\( 1.46 \times 10^{-33} \text{ m} \)
Explanation
Uncertainty in speed \( \Delta v = 45 \times \frac{2}{100} = 0.9 \text{ m s}^{-1} \). Using \( \Delta x = \frac{h}{4\pi m \Delta v} \) gives \( 1.46 \times 10^{-33} \text{ m} \).