Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 31, Problem 24P
(a)
To determine
The uncertainty of the distance.
(b)
To determine
The percentage uncertainty in the distance.
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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.
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μΑ
?
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Value
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A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 0.300 fg (where a femtogram, fg, is 10−15g) and is swimming at a velocity of v = 9.00 μm/s , with an uncertainty in the velocity of 6.00 % . 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 (m).
The length of a clock's pendulum can be adjusted so that it keeps time accurately. With what precision must the length be known for such a clock to have an accuracy of 3.00 seconds in a year
(365.25 days), all other variables being neglected? (If, for example, the length must be known to within 3 parts in 1,000,000, give your answer as or 3.00e-6.)
Chapter 31 Solutions
Physics for Scientists and Engineers
Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - Prob. 3PCh. 31 - Prob. 4PCh. 31 - Prob. 5PCh. 31 - Prob. 6PCh. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10P
Ch. 31 - Prob. 11PCh. 31 - Prob. 12PCh. 31 - Prob. 13PCh. 31 - Prob. 14PCh. 31 - Prob. 15PCh. 31 - Prob. 16PCh. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Prob. 22PCh. 31 - Prob. 23PCh. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - Prob. 29PCh. 31 - Prob. 30PCh. 31 - Prob. 31PCh. 31 - Prob. 32PCh. 31 - Prob. 33PCh. 31 - Prob. 34PCh. 31 - Prob. 35PCh. 31 - Prob. 36PCh. 31 - Prob. 37PCh. 31 - Prob. 38PCh. 31 - Prob. 39PCh. 31 - Prob. 40PCh. 31 - Prob. 41PCh. 31 - Prob. 42PCh. 31 - Prob. 43PCh. 31 - Prob. 44PCh. 31 - Prob. 45PCh. 31 - Prob. 46PCh. 31 - Prob. 47PCh. 31 - Prob. 48PCh. 31 - Prob. 49PCh. 31 - Prob. 50PCh. 31 - Prob. 51PCh. 31 - Prob. 52PCh. 31 - Prob. 53PCh. 31 - Prob. 54PCh. 31 - Prob. 55PCh. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - Prob. 58PCh. 31 - Prob. 59PCh. 31 - Prob. 60PCh. 31 - Prob. 61PCh. 31 - Prob. 62PCh. 31 - Prob. 63PCh. 31 - Prob. 64PCh. 31 - Prob. 65PCh. 31 - Prob. 66PCh. 31 - Prob. 67PCh. 31 - Prob. 68PCh. 31 - Prob. 69PCh. 31 - Prob. 70PCh. 31 - Prob. 71PCh. 31 - Prob. 72PCh. 31 - Prob. 73PCh. 31 - Prob. 74PCh. 31 - Prob. 75PCh. 31 - Prob. 76PCh. 31 - Prob. 77PCh. 31 - Prob. 78PCh. 31 - Prob. 79PCh. 31 - Prob. 80PCh. 31 - Prob. 81PCh. 31 - Prob. 82PCh. 31 - Prob. 83PCh. 31 - Prob. 84P
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- A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of mmm = 0.300 fgfg (where a femtogram, fgfg, is 10−15g10−15g) and is swimming at a velocity of vvv = 9.00 μm/sμm/s , with an uncertainty in the velocity of 9.00 %% . E. coli bacterial cells are around 1 μmμm ( 10−6 m10−6 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 uncertainity position of the bacteriumarrow_forwardof 1 estion Given the equation f =- where = 3.43±0.78. What is the value and the absolute uncertainty in f (with the correct number of significant figures)? Select one O 0.2 Ob. 0.78 0.8 Od 1.26 O 1 Clear my choice If the length of an object is /=18.0±0.2cm What is the object's length in units of 772? There are 100cm in 1 m Select one: O 0.2±0.2m Ob. 0 1800+20m d. 0.180+0.002m Clear my choice 0.000180±0.000002marrow_forwardPhysics A distance R is measured to be 5.400±0.003m. What is the absolute uncertainty in R^-2?arrow_forward
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