A student is examining a bacterium under the microscope. The E.coli bacterial cell has a mass of m = 0.100 fg (where afemtogram, fg, is 101 g) and is swimming at a velocity of v1.00 m/s, with an uncertainty in the velocity of 5.00 % . E. colibacterial cells are around 1 m ( 10-° m) in length. The studentis supposed to observe the bacterium and make a drawing.However, the student, having just learned about the Heisenberguncertainty principle in physics class, complains that she cannotmake the drawing. She claims that the uncertainty of thebacterium's position is greater than the microscope's viewingfield, and the bacterium is thus impossible to locate.аPart AWhat is the uncertainty of the position of the bacterium?Express your answer with the appropriate units.View Available Hint(s)μΑ?ΩValueUnits

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Asked Sep 19, 2019
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A student is examining a bacterium under the microscope. The E.
coli bacterial cell has a mass of m = 0.100 fg (where a
femtogram, fg, is 101 g) and is swimming at a velocity of v
1.00 m/s, with an uncertainty in the velocity of 5.00 % . E. coli
bacterial cells are around 1 m ( 10-° 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.
а
Part A
What is the uncertainty of the position of the bacterium?
Express your answer with the appropriate units.
View Available Hint(s)
μΑ
?
Ω
Value
Units
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A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 0.100 fg (where a femtogram, fg, is 101 g) and is swimming at a velocity of v 1.00 m/s, with an uncertainty in the velocity of 5.00 % . E. coli bacterial cells are around 1 m ( 10-° 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. а Part A What is the uncertainty of the position of the bacterium? Express your answer with the appropriate units. View Available Hint(s) μΑ ? Ω Value Units

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Step 1

The mass of the bacterium is 0.100x10-18kg, velocity is 1.00x10-6m, and the percentage of uncertainty in velocity is 5.00%.

The uncertainty in velocity is

 

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5.00 100x 10 m/s Av = 100 =5.00x10 m/s

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Step 2

According to Heisenberg uncertainty principle, the uncer...

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Ar is the uncertainity in position Ap is the uncertainity in momentum Ax -Ap 4T his the planks constant substitute 0.100 x101 kg for m 5.00 x 10 m/s for Av 6.626x 10 Js for h Ax mAv - тду2 4T Ar 0.100x10 kg x5.00 x10* m/s= 6.626x10 J-s 47 J.s 6.626 x 10 Ar 4x (0.100x 10-1 kgx5.00 x10 m/s 1.06 x10 m

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