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Chemistry · Structure of atom

हिन्दी

A 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 (\( \Delta x \)).

  1. A
    \( 2.35 \times 10^{-30} \text{ m} \)
  2. B
    \( 1.46 \times 10^{-33} \text{ m} \)
  3. C
    \( 5.82 \times 10^{-35} \text{ m} \)
  4. D
    \( 3.12 \times 10^{-32} \text{ m} \)
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 \( 1.46 \times 10^{-33} \text{ m} \).
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