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AP EAMCET · Chemistry · Structure of Atom

A golf ball of mass '\(m\)' has a speed of \(50 \mathrm{~ms}^{-1}\), If the speed can be measured within accuracy of \(2 \%\), the uncertainty in the position is

  1. A \(\frac{h}{4 \pi m}\)
  2. B \(\frac{h}{16 \pi m}\)
  3. C \(\frac{h}{4 \pi m} \times 10^3\)
  4. D \(\frac{h}{16 \pi m} \times 10^3\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{h}{4 \pi m} \times 10^3\)

Step-by-step Solution

Detailed explanation

The uncertainty in the speed is \(2 \%\) i.e. \(50 \times \frac{2}{100}=1 \mathrm{~ms}^{-1}\) According to Heisenberg uncertainty principle,…