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Secure l https://session.masteringchemistry.com/myct/itemView?offset=next&assignmer; ch7P2-Chapter7HW-Part 2 ± The Heisenberg Uncertainty Principle x pre The Heisenberg Uncertainty Principle Part A A student is examining a bacterium under the microscope. The E. col bacterial cell has a mass of m 1.20 fg (where a femtogram, fg, is 1015 g) and is swimming at a velocity of u = 8.00 m/s with an uncertainty in the velocity of 6.00 % . E. coli bactenai cells are around 1 m ( 10-0 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 cannol make the drawing. She daims 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. Hints ArValue Units Submit My Answers Give Up Part B This question will be shown after you complete previous c 5:08 11/26

Explanation / Answer

A)

Here:

velocity = 8*10^-6 m/s

deltav = 6.0% of velocity

deltav = 6.0*8*10^-6/100

deltav = 4.8*10^-7 m/s

use Heisenberg uncertainty principle,

deltax*deltav = h/(4*pi*m)

Here:

deltav = 4.8*10^-7 m/s

mass, m = 1.2*10^-15 g

= 1.2*10^-18 kg [using conversion 1 Kg = 1000 g]

Putting values,

deltax*(4.8*10^-7) = (6.626*10^-34)/(4*3.14*1.2*10^-18)

deltax*(4.8*10^-7) = 4.396*10^-17

deltax = 9.16*10^-11 m

Answer: 9.16*10^-11 m

Feel free to comment below if you have any doubts or if this answer do not work. I will edit it if you let me know

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