A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of mm = 1.80 fgfg (where a femtogram, fgfg,  is 10−15g10−15g) and is swimming at a velocity of vv = 2.00 μm/sμm/s , with an uncertainty in the velocity of 9.00 %% . E. coli bacterial cells are around 1 μmμm ( 10−6 m10−6 m) in length. The student is supposed to observe the bacterium and make a drawing. However, the student, having just learned about the Heisenberg uncertainty principle in physics class, complains that she cannot make the drawing. She claims that the uncertainty of the bacterium's position is greater than the microscope's viewing field, and the bacterium is thus impossible to locate.What is the uncertainty of the position of the bacterium?

Chemistry
9th Edition
ISBN:9781133611097
Author:Steven S. Zumdahl
Publisher:Steven S. Zumdahl
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 101AE: The density of an irregularly shaped object was determined as follows. The mass of the object was...
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A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of mm = 1.80 fgfg (where a femtogram, fgfg,  is 10−15g10−15g) and is swimming at a velocity of vv = 2.00 μm/sμm/s , with an uncertainty in the velocity of 9.00 %% . E. coli bacterial cells are around 1 μmμm ( 10−6 m10−6 m) in length. The student is supposed to observe the bacterium and make a drawing. However, the student, having just learned about the Heisenberg uncertainty principle in physics class, complains that she cannot make the drawing. She claims that the uncertainty of the bacterium's position is greater than the microscope's viewing field, and the bacterium is thus impossible to locate.What is the uncertainty of the position of the bacterium?

 

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