Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 4, Problem 51E
To determine
The radius of the microscopic object to obtain the required uncertainty in postion.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The velocity of an electron is measured to a precision of 62 × 10-³
m/s. What is the minimal uncertainty to which its position can be
measured?
Please give your answer in units of mm, accurate to one decimal place.
I.e, the answer you should enter should have the form: XX.X mm.
Answer:
To estimate the velocity of a toy car you measure that it moves a distance of (20.0 +/- 0.03) meters in a time of (4.00 +\- 0.04) seconds. Use the rules for uncertainty propagation to obtain a value for the car’s velocity.
Imagine playing baseball in a universe (not ours!) where the Planck constant is 0.60 J s and thus quantum physics affects macroscopic objects. What would be the uncertainty in the position of a 0.50 kg baseball that is moving at 20 m/s along an axis if the uncertainty in the speed is 1.0 m/s?
Chapter 4 Solutions
Modern Physics
Ch. 4 - Prob. 1CQCh. 4 - Prob. 2CQCh. 4 - Prob. 3CQCh. 4 - Prob. 4CQCh. 4 - Prob. 5CQCh. 4 - Prob. 6CQCh. 4 - Prob. 7CQCh. 4 - Prob. 8CQCh. 4 - Prob. 9CQCh. 4 - Prob. 10CQ
Ch. 4 - Prob. 11ECh. 4 - Analyzing crystal diffraction is intimately tied...Ch. 4 - The setup depicted in Figure 4.6 is used in a...Ch. 4 - Prob. 14ECh. 4 - Prob. 15ECh. 4 - Prob. 16ECh. 4 - Prob. 17ECh. 4 - Prob. 18ECh. 4 - Prob. 19ECh. 4 - Prob. 20ECh. 4 - Prob. 21ECh. 4 - Prob. 22ECh. 4 - Prob. 23ECh. 4 - Prob. 24ECh. 4 - Prob. 25ECh. 4 - Prob. 26ECh. 4 - Prob. 27ECh. 4 - Prob. 28ECh. 4 - Prob. 29ECh. 4 - Prob. 30ECh. 4 - Prob. 31ECh. 4 - Prob. 32ECh. 4 - Prob. 33ECh. 4 - Prob. 34ECh. 4 - Prob. 35ECh. 4 - Prob. 36ECh. 4 - Prob. 37ECh. 4 - (a) Experiment X is carried out nine times...Ch. 4 - Prob. 39ECh. 4 - Prob. 40ECh. 4 - Prob. 41ECh. 4 - Prob. 42ECh. 4 - Prob. 43ECh. 4 - Prob. 44ECh. 4 - Prob. 45ECh. 4 - Prob. 46ECh. 4 - Prob. 47ECh. 4 - Prob. 48ECh. 4 - Prob. 49ECh. 4 - Prob. 50ECh. 4 - Prob. 51ECh. 4 - Prob. 52ECh. 4 - Prob. 53ECh. 4 - Prob. 54ECh. 4 - Prob. 55ECh. 4 - Prob. 56ECh. 4 - Prob. 57ECh. 4 - Prob. 59ECh. 4 - Prob. 60ECh. 4 - Prob. 61ECh. 4 - Prob. 62ECh. 4 - Prob. 63ECh. 4 - Prob. 64ECh. 4 - Prob. 65ECh. 4 - Prob. 67ECh. 4 - Prob. 68ECh. 4 - Prob. 71CECh. 4 - Prob. 72CECh. 4 - Prob. 73CE
Knowledge Booster
Similar questions
- An electron is confined to a 1 nm wide region. What is the range in velocities (uncertainty) in the momentum of the electron? Use h/2 on the right side of the uncertainty equation. Give your answer in km/s and use 2 significant figures, but do not include the units in your answer.arrow_forwardTo estimate the velocity of a toy car you measure that it moves a distance of (20.0 +\- 0.03) meters in a time of (4.00 +\- 0.04) seconds. Use the rules for uncertainty propagation to obtain a value for the car’s associated uncertainty.arrow_forwardCalcúlate the uncertainty for momentum p, when the mass of the object is 15.0 (+-) 0.2kg with a velocity of 7.0 (+-) 0.5m/s. What is the uncertainty percentage of the momentum?arrow_forward
- A fly with a mass of 23.7 mg is moving with a velocity of 6.7 m/s + 10%. What is the momentum of this fly? kgm/s What is the uncertainty in the momentum measurement? kgm/s At best, what is the uncertainty in the position of the fly? m Are we very certain with this measurement? Yes O Noarrow_forwardSuppose Fuzzy, a quantum-mechanical duck, lives in a world in which h = 2 J s. Fuzzy has a mass of 1.90 kg and is initially known to be within a pond 1.00 m wide. (a) What is the minimum uncertainty in the duck's speed? m/s (b) Assuming this uncertainty in speed to prevail for 4.90 s, determine the uncertainty in Fuzzy's position after this time. marrow_forwardThe propagation of uncertainty formula for the equation y - ax^2 is y (Ay +(Ay,)² where Aya = (ax²) – ((a + Sa)x²).and .Ayx = (ax?) - (a(x+ 5x)²) and. The values %3D %3D Sa and 5x are the uncertainties on a and x respectively. If a = 0.4 +/- 0.8 and x = -1.6+/-0.7 then what is the uncertainty on y?arrow_forward
- The uncertainty in the velocity of an electron is 53 × 10-3 m/s. What is the uncertainty in its position?Please give your answer in units of mm, accurate to two decimal places.arrow_forwardImagine another universe in which the value of Planck’s constant is 0.0663 J . s, but in which the physical laws and all other physical constants are the same as in our universe. In this universe, two physics students are playing catch. They are 12 m apart, and one throws a 0.25 kg ball directly toward the other with a speed of 6.0 m/s. (a) What is the uncertainty in the ball’s horizontal momentum, in a direction perpendicular to that in which it is being thrown, if the student throwing the ball knows that it is located within a cube with volume 125 cm3 at the time she throws it? (b) By what horizontal distance could the ball miss the second student?arrow_forwardCould someone explain to me in detail why bringing a crystal substance to absolute zero isn't possible? I know it's not because of quantum mechanics and uncertainty like some people say, because particals at their lowest zero-point will have a temperature of exactly 0 K, even though they're still experiencing motion. From what I've gathered, the energy or time required to pull it off is infinite, but I can't find any equations or clear explanations as to why or how that is. And I also don't know if there's any other reasons beyond that. If you could give me a thourough a breakdown for how absolute zero is impossible as you possibly could, I'd greatly appreciate it. Take as much extra time as you need. As long as it's detailed and correct I'm happy. Though ideally I would before it come in before the end of the day.arrow_forward
- Calculate the lowest possible uncertainty in the velocity for an electron, (mass 9.11x1031 kg) where the position is known to an uncertainty of 1.0x1011m. Give your answerin units of 10° m/s to 3 decimals. Your Answer: Answerarrow_forwardIf an electron has an uncertainty in its velocity of 5.60 m/s, what is the uncertainty (in meters) in its position?arrow_forwardLunar astronauts placed a series of cube reflectors on the Moon as part of an experiment to mea- sure the distance to the Moon with hyperaccuracy. Lasers were fired from an observatory in West Texas toward the Moon; they reflected off these cubes and returned to Earth. The time of arrival was measured by astronomers at the observatory. If the time for the round trip could be measured with an accuracy of 0.1 nanoseconds, what was the uncertainty in the measured distance to the Moon. Given that the semi-major axis of the Moon’s orbit is 3.84 x 108 km, what is the percent accuracy of these measurements?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning