Related questions with answers
Suppose that photons of blue light (430 nm) are used to locate the position of a 2.80g Ping Pong ball in flight and that the uncertainty in the position is equal to one wavelength. What is the minimum uncertainty in the speed of the PingPong ball? Comment on the magnitude of your result.
Solution
VerifiedDetermine the value of the mass in SI units:

Begin with the mass in grams.

Use a conversion factor to convert grams into kilograms.
$\begin{align*} m&= \begin{array}{cc} 2.80\;\cancel{\mathrm{g}}& 1\;\mathrm{kg}\\ \hline & 1000\;\cancel{\mathrm{g}} \end{array}\\ &=2.80\times10^{3}\;\mathrm{kg} \end{align*}$
Determine the value of the minimum uncertainty of the position in SI units:

Begin with the minimum uncertainty of the position in nanometers.

Use a conversion factor to convert nanometers into meters.
$\begin{align*} \Delta x&= \begin{array}{cc} 430\;\cancel{\mathrm{nm}}& 10^{9}\;\mathrm{m}\\ \hline & 1\;\cancel{\mathrm{nm}} \end{array}\\ &= 4.30\times10^{7}\;\mathrm{m} \end{align*}$
Create an account to view solutions
Create an account to view solutions
Recommended textbook solutions
Chemistry: The Central Science
14th Edition•ISBN: 9780134414232Bruce Edward Bursten, Catherine J. Murphy, H. Eugene Lemay, Matthew E. Stoltzfus, Patrick Woodward, Theodore E. BrownModern Chemistry
1st Edition•ISBN: 9780547586632 (1 more)Jerry L. Sarquis, Mickey SarquisMore related questions
1/4
1/7