Answered: The speed of a proton is measured to…

The speed of a proton is measured to within an uncertainty of 1 × 103m/s. Calculate the length of the smallest region of space in which the electron can be confined.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter28: Quantum Physics

Section: Chapter Questions

Problem 38P

See similar textbooks

Related questions

Q: A proton is traveling with a speed of (8.660+_0.013) x 10^5 m/s. With what maximum precision can…

A: Given that:v=(8.660±0.013)×105 m/sSo, ∆v=0.013×105 m/s

Q: If the electron is positioned in the region of width 10-12 m then calculate the time constant of the…

A: Given values: Width of the region, ∆x=10-12 m Plank's constant, h=6.626×10-34 J·s Mass of electron,…

Q: What is the smallest box in which you can confine an electron if you want to know for certain that…

A: According to the uncertainty principle, ∆x∆p=h2π We know that, ∆x∆p≥h4π

Q: the ground state of hydrogen, the uncertainty in the position of the electron is roughly 0.10 nm. If…

A: Electron minimum uncertainty momentum is ∆pe=h4π*∆xh=planck constant=6.62*10-34 j s

Q: The speeds of an electron and a proton have been measured to the same uncertainty. Which one has a…

A: The speeds of an electron and a proton have been measured to the same uncertainty.

Q: The position and momentum of a 1.00-keV electron are simultaneously determined. If its position is…

A: Given : kinetic Energy, K.E = 1.00 keV position uncertanity, ∆x=0.200 nm=2×10-10 m me =9.1×10-31 kg…

Q: "Determine the minimum uncertainty in the position of an electron if its speed is known with a…

Q: If an electron's position can be measured to a precision of 3.0 × 10¬8 m, how precisely can its…

Q: In a nonrelativistic experiment, an electron and a proton are each located along the x-axis to…

A: Given data The uncertainty of electron and proton is given as Δxe = Δxp = 4.80 μm. Now, the…

Q: An electron has a velocity of 610.03 m/s, +/- 0.001 m/s. What is the smallest uncertainty (+/-…

A: Given that, Velocity = 610.03 m/s Accuracy = ±0.001 m/s

Q: To estimate the velocity of a toy car you measure that it moves a distance of (20.0 +\- 0.03) meters…

Q: Protons 1 and 2 have the same uncertainty in their position (they are in different regions of…

A: Required : The correct statement.

Q: The speed of an electron is known to be between 5.0×106 m/sm/s and 5.8×106 m/sm/s . Estimate the…

Q: The speed of a certain proton is 350 km s-1. If the uncertainty in its momentum is 0.0100 per cent.…

A: Write the given values, and determine the uncertainty in the momentum of a proton as follows. v=350…

Q: Estimate the uncertainty in position of a neutron moving at 5×10^6m/sec?

A: Given : Velocity of neutron moving, ∆v = 5 × 106 m/s Rest mass of neutron, mn =…

Q: If we know the velocity of an electron to within 3.5 x 107 m/s, then what is the uncertainty in its…

Q: A sample of a diatomic gas is kept at 294 K in a 17,735 cm3 cubical container. Calculate the minimum…

Q: An electron has been accelerated by a potential difference of 100 V. If its position is known to…

A: When an electron is accelerated by a potential difference, the potential energy of the electron gets…

Q: In a nonrelativistic experiment, an electron and a proton are each located along the x-axis to…

A: From uncertainty principle, the minimum uncertainty in the x-component of the velocity of the…

Q: A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m…

A: The mass of the bacterium is 0.100x10-18kg, velocity is 1.00x10-6m, and the percentage of…

Q: The uncertainty in the velocity of an electron is 53 × 10-3 m/s. What is the uncertainty in its…

A: The uncertainty in the velocity of an electron is 53 × 10-3 m/s. What is the uncertainty in its…

Q: A proton is known to be in a position located to within 8 fm. What is the minimum uncertainty in…

A: uncertainity in position (∆x) = 8 fm mass of proton (m) = 1.67×10-27 kg

Q: A proton is known to be within an interval ±6 fm (the radius of a large nucleus). Roughly what is…

A: Given data: Position uncertainty ∆x=±6 fm

Q: If an electron has an uncertainty in its velocity of 4.10 m/s, what is the uncertainty (in meters)…

Q: Suppose the position of a chlorine ion in a membrane is measured to an accuracy of 0.75 μm. a) What…

Q: If an excited state of an atom has a lifetime of 3.0××10^−7 s, what is the minimum error associated…

A: Given lifetime △t= 3.0××10^−7 s

Q: If the position of an electron is within the 10 pm interval, what is the uncertainty of the…

Q: A rectangular object has length l=32.4±0.5, width w=21.1±0.2. What is the absolute uncertainties in…

A: Given,Length of the rectangular object, L = 32.4 ± 0.5Width of the rectangular objectw = 21.1 ±0.2…

Q: If the speed of an electron is measured to within an uncertainty of 2.0×10 4 m/s, what would be the…

Q: The decay energy of a short-lived particle has an uncertainty of 1.0 MeV due to its short lifetime.…

A: Heisenberg uncertainty principle of energy and time is

Q: Rayleigh’s criterion is used to determine when two objects are barely resolved by a lens of diameter…

A: Given data: θR=1.22λd Distance of separation, y=4000 nm=4000×10-9m Distance, x=20 cm=0.20 m Diameter…

Q: In a conductor of size 20 mm x 10 mmx 10 mm, the wavelength of the slowest moving free electron is

A: According to question--- Given data--- size of conductor = 20mm×10mm×10mm. We have to find--…

Q: The lifetime of a muon in its own frame of reference is measured to be 3.10 x 106 s. What is the…

Q: . If an electron’s position can be measured to a precision of 2.0 x10-8mwhat is the uncertainty in…

A: here, we are applying the heinsberg's uncertainty principle to find the uncertainty in this…

Q: In the ground state of hydrogen, the uncertainty in the position of the electron is roughly 0.10 nm.…

A: From uncertainty principle, the minimum uncertainty in the momentum of the electron is,

Q: What is the minimum uncertainty in position, in nm, of an electron whose velocity is known to be…

A: Given, V1 = 2.96 x 105 m/s V2 = 3.08 x 105 m/s (i) Uncertainty in velocity (ΔV) = (3.08 -2.96)x 105…

Q: Rank the following situations according to the uncertainty in x-momentum, from largest to smallest.…

Q: An electron of momentum p is at a distance r from a stationary proton. The electron has kinetic…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: What is the minimum uncertainty in the speed of an electron that is known to be somewhere between…

A: Mass of electron = 9.1 × 10-31 kg Uncertainty in position = 0.1 nm - 0.05 nm = 0.05 nm = 0.05 ×…

Q: An elementary particle has a very short lifetime, 1.34 x 101 s. What is the minimum uncertainty with…

Q: If an electron's position can be measured to a precision of 3.0 × 10¯ m, how precisely can its speed…

A: Given: The precision in the electron's position is 3x10-8 m.

Q: assume that an electron is moving along the x-axis and that you measure its speed to be…

A: According to the Heisenberg Uncertainity principle, ∆x×∆v=h2πm .... (1) Where, h is the…

Q: An electron and a proton, each initially at rest, are accelerated across the same voltage. Assuming…

A: Heisenberg's uncertainty principle states that it is impossible to measure the position and momentum…

Question

The speed of a proton is measured to within an uncertainty of 1 × 10³m/s. Calculate the length of the smallest region of space in which the electron can be confined.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An atom of iron has a radius of 156. pm and the average orbital speed of the electrons in it is about ×5.7*10^7 m/s. Calculate the least possible uncertainty in a measurement of the speed of an electron in an atom of iron. Write your answer as a percentage of the average speed, and round it to 2 significant digits.
The speed of an electron is measured to within an uncertainty of 2.0 × 104 m/s. What is the size of the smallest region of space in which the electron can be confined?
Estimate the uncertainty in the position of (a) a neutron moving at 5 x 10°m/s and (b) a 50 kg person moving at 2m/s
If a proton has an uncertainty in its velocity of 5.90 × 10⁻⁴ m/s, what is the uncertainty (in meters) in its position?
Question 12/ 13 An electron mnoves in a straight line with constant speed y= 1.1 x10" m's which has been measured with precision of 0.10%. What is the maximum possible precision in which its position could be measured? (h= 6.62 x 10 34 m kg /s; m= 9.11 x 10 31 kg)
If the speed of an electron is measured to within an uncertainty of 2.0×10 4 m/s, what wouldbe the size of the smallest region of space in which the electron can be confined? me = 9.11×10 -31kg.
An excited atom gives up its excited energy by emitting a photon. The average period that elapses between the excitation of an atom and the time it radiates is 5 x 10-9sec. Find the corresponding uncertainty in the frequency of the photon.
The speed of an electron is known to be between 5.0×106 m/sm/s and 5.8×106 m/sm/s . Estimate the uncertainty in its position.
If an electron has an uncertainty in its velocity of 5.60 m/s, what is the uncertainty (in meters) in its position?
If the speed of an electron is measured to within an uncertainty of 2.0x104 m/s, what would be the size of the smallest region of space in which the electron can be confined? me = 9.11 x 10-31 kg. 2.
Function f is defined by = x/ where x = 4.35 + 0.05 and y = 1.25 +0.01 Calculate the absolute uncertainty in f. Specify your answer up to 3 decimal places.
The uncertainty in the velocity V of a moving electron of mass 10−4010−40 kg is 2 x106m/s2 x106m/s . Calculate the uncertainty of the simultaneous measurement of its position X. [Take 6.63 x10−346.63 x10−34 ]