Question

Please solve + show work

+ The Heisenberg Uncertainty Principle Part A A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 0.500 fg (where a femtogram, fg.is 10-15 g) and is swimming at a velocity of v = 8.00 pm/s, with an uncertainty in the velocity of 7.00 %. E. coli bacterial cells are around 1 um (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. What is the uncertainty of the position of the bacterium? Express your answer with the appropriate units. View Available Hint(s) Az = Value Units Submit Previous Answers * Incorrect; Try Again; 5 attempts remaining

Answer 1

uncertain x lim biven, ma 0.500 fy = 5xiū!9 kg uncertainty in velocity av = 7.0 % (8 elme xulosa OV = 506x167 m/s h= 6.626x1034 IS Kgm25t Use Heiseberg's uncertainty prosinciple - MAU DX > - 4x3.14 5x109 x 5.6x167 x 4x 3.14 5x1019 kg x 546 xio+uysx ox > 6626X1734* ox= 6.626X1634_ Answer → Dx = 1.02 X1ūlom if you want tusyer in eem then divide by 108 TD X = 1.02 X164 um