± The Heisenberg Uncertainty Principle Part A What is the uncertainty of the pos

Question

± The Heisenberg Uncertainty Principle Part A What is the uncertainty of the position of the bacterium? A student is examining a bacterium under the microscope. The E coll bacterial cell has a mass of m- 1.40 fg (where a femtogram, fg, is 10 15 g) and is swimming at a velocity of U-8 00 m/s. with an uncertainty in the velocity of 8.00 % E Express your answer with the appropriate units Hints bacterial cells are around 1 m( 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 ? Submit My Answers Give Up Part B This question will be shown after you complete previo Provide 0 here to search

Explanation / Answer

A)

Here:

velocity = 8.00*10^-6 m/s

delta V = 8.0 % of velocity

delta V = 8.0*8.00*10^-6/100

delta V = 6.40*10^-7 m/s

mass, m = 1.4 fg = 1.4*10^-18 kg

use Heisenberg uncertainty principle,

deltax*delta V = h/(4*pi*m)

Here:

delta V = 6.4*10^-7 m/s

Putting values,

deltax*(6.4*10^-7) = (6.626*10^-34)/(4*3.14*1.4*10^-18)

deltax*(6.4*10^-7) = 3.768*10^-17

deltax = 5.89*10^-11 m

Answer: 5.89*10^-11 m

Feel free to comment below if you have any doubts

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.