Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 29 - Particles and Waves - Problems - Page 841: 25

Answer

de Broglie wavelength of bacterium is $\lambda=1.0045\times10^{-18}m$

Work Step by Step

mass of the bacterium $m= 2\times10^{-15}kg$ speed of bacterium $v=0.33m/s$ by de Broglie hypothesis de-Broglie wavelength is given by $\lambda=\frac{h}{mv}$ putting $h=6.63\times10^{-34}J$, $m= 2\times10^{-15}kg$, $v=0.33m/s$ $\lambda=\frac{6.63\times10^{-34}J}{2\times10^{-15}kg\times0.33m/s}$ $\lambda=10.045\times^{-19}m=1.0045\times10^{-18}m$
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