A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 1.60 fg (where a femtogram, fg, is 10-15 g) and is swimming at a velocity of v= 1.00 μm/s, with an uncertainty in the velocity of 9.00 %. E. coli bacterial cells are around 1 μm (10-6 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? Express your answer with the appropriate units. ► View Available Hint(s) Ax= LO μA Value Units ?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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A student is examining a bacterium under the microscope. The E.
coli bacterial cell has a mass of m = 1.60 fg (where a
femtogram, fg, is 10-¹5 g) and is swimming at a velocity of v =
1.00 μm/s, with an uncertainty in the velocity of 9.00 %. E. coli
bacterial cells are around 1 μm (10-6 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?
Express your answer with the appropriate units.
► View Available Hint(s)
Ax =
μA
Value
Units
?
Transcribed Image Text:A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 1.60 fg (where a femtogram, fg, is 10-¹5 g) and is swimming at a velocity of v = 1.00 μm/s, with an uncertainty in the velocity of 9.00 %. E. coli bacterial cells are around 1 μm (10-6 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? Express your answer with the appropriate units. ► View Available Hint(s) Ax = μA Value Units ?
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