Question

Suppose that photons of blue light (430 nm) are used to locate the position of a 2.80-g 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 Ping-Pong ball? Comment on the magnitude of your result.

Solution

Verified
Step 1
1 of 3

Determine the value of the mass in SI units:

  1. Begin with the mass in grams.

  2. Use a conversion factor to convert grams into kilograms.

m=2.80  g1  kg1000  g=2.80×103  kg\begin{align*} m&= \begin{array}{c|c} 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:

  1. Begin with the minimum uncertainty of the position in nanometers.

  2. Use a conversion factor to convert nanometers into meters.

Δx=430  nm109  m1  nm=4.30×107  m\begin{align*} \Delta x&= \begin{array}{c|c} 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 4th Edition by Julia Burdge

Chemistry

4th EditionISBN: 9780078021527Julia Burdge
4,076 solutions
Pearson Chemistry by Matta, Staley, Waterman, Wilbraham

Pearson Chemistry

ISBN: 9780132525763 (1 more)Matta, Staley, Waterman, Wilbraham
3,748 solutions
Chemistry: The Central Science 14th Edition by Bruce Edward Bursten, Catherine J. Murphy, H. Eugene Lemay, Matthew E. Stoltzfus, Patrick Woodward, Theodore E. Brown

Chemistry: The Central Science

14th EditionISBN: 9780134414232Bruce Edward Bursten, Catherine J. Murphy, H. Eugene Lemay, Matthew E. Stoltzfus, Patrick Woodward, Theodore E. Brown
7,736 solutions
Modern Chemistry 1st Edition by Jerry L. Sarquis, Mickey Sarquis

Modern Chemistry

1st EditionISBN: 9780547586632 (1 more)Jerry L. Sarquis, Mickey Sarquis
2,184 solutions

More related questions

1/4

1/7