Answered: We can finally calculate the…

We can finally calculate the uncertainty in the axial distance using the relation || where o, is the uncertainty in r. Find the uncertainty in the axial distance of the particle's location.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 7.4CYU: Check Your Understanding A sodium atom nukes a transition from the first excited state the wound...

See similar textbooks

Related questions

Q: Question 5 1) An electron is moving along x axis with the speed of 2x106 m/s (known with a precision…

A: Given data: The velocity of electron is v=2×106 m/s. The precision is x=0.5%. Mass of electron is…

Q: Y = (-)"4 A particle is in a state evaluate the uncertainty product Ax Ap, . Hint: 1.3..(2n – 1)V7…

A: Here given a wave function . We have to evaluate the uncertainty product dxdpx.

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: What is the linear size of the smallest box in which you can confine an electron if you want to know…

A: given; uncertainty in velocity ∆v = 19 m/s mass of electron m = 9.1*10-31 kg

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

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: (3.0 ± 0.2) cm, y = (4.2 ± 0.6) cm. Find z = x - (y/2) and its uncertainty. (show all work)

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: Why can’t we overcome the uncertainty predicted by Heisen-berg’s principle by building more precise…

A: The uncertainty predicted by Heisenberg's principle is not because of limitation of measuring…

Q: Calculate the minimum uncertainty in the speed of a ball of mass 500 g that is known to be within…

A: According to uncertainty law, mΔvΔx=h4π m=500 g=0.5 kg Use the given values, 0.5Δv1.0×10-6…

Q: You are able to determine an electron's location within an uncertainty of 430 nm. What is the…

A: This question is based on Heisenberg's Uncertainty principle. The Heisenberg's Uncertainty principle…

Q: If we subtract two measured values, A and B, with uncertainties Ha and Ho, respectively, how would…

A: Uncertainties in Experimental physics is an unavoidable reality. Uncertainties can arise from…

Q: ive any analyzation about this uncertainty measurement in physics

A: Error in measurement done using ruler is greater than that of vernier

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: If an electron is moving at 2m/s with an uncertainty of 10%, what is the minimum uncertainty in the…

Q: An electron is confined to a 1 nm wide region. What is the range in velocities (uncertainty) in the…

Q: An electron is located on a pinpoint having a diameter of 2.5 µm. What is the minimum uncertainty in…

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

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

Q: An electron is located on a pinpoint having a diameter of 7.71 um. What is the minimum uncertainty…

Q: An electron is located on a pinpoint having a diameter of 2.5 um. What is the minimum uncertainty in…

A: From uncertainty principle, the minimum uncertainty in the speed of the electron is given by

Q: The uncertainty in the position of an electron along an x axis is given as 50 pm, which is about…

Q: A car accelerates uniformly from rest and travels a distance of (100 ± 1) m. If the acceleration of…

A: Given that:- s=(100±1)ma=(6.5±0.5)m/s2u=0v=?

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: The range of an experimental result is 12 – 18. If these numbers represent the minimum and maximum…

A: The mean experimental result is M = (12 + 18)/2 M = 30/ 2 = 15

Q: Use the uncertainty principle to show that if an electron were confined inside an atomic nucleus of…

A: The equation for uncertainty principle,

Q: Ex. 1: The speed of an electron is measured to be 5.00 x 103 m/s to an accuracy of o.003 o0%. Find…

A: the position and the momentum of a particle cannot be measured accurately, there is always…

Q: The uncertainty in the position of an electron along an x axis is given as 72 pm. What is the least…

A: Using Heisenberg uncertainty principle: dx*dP ≥ h/(4*pi) dP = Uncertainty in momentum = h/(4*pi*dx)…

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

A: Given ∆ v =( 3.08-2.96) ×105 ∆ v = 0.12 ×105m/s

Q: Prove that assuming n = 0 for a quantum particle in an infinitely deep potential well leads to a…

A: Energy of quantum particle in a infinitely deep potential well Momentum of the particle inside the…

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: the first length measured in a laboratory experiment is 2.5+-0.1m and the second length is 3.4+-0.1m…

A: Solution: Given that x = 2.5±0.1 m y = 3.4±0.1 m

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: Compute the uncertainty of 1/x in terms of x and its uncertainty, δx .

A: Given y = 1/x and we have calculate its uncertainty

Q: If the position of an electron in a membrane is measured to an accuracy of 1.00 μm , what is the…

A: Given data *The uncertainity in position is ∆x=1.00 μm=1.00×10-6 m *The value of the Planck's…

Q: A particle is in a state evaluate the uncertainty product Ar Ap,. Hint: frear" dr = 1.3..2n– 1)\#…

A: The wavefunction is given as : ψ=1π14e-x22 Let us first calculate the uncertainty in x i.e. ∆x.…

Q: Suppose the x-component of the velocity of an electron has been measured to an accuracy of 10 -2…

A: According to the Heisenberg uncertainty principle, Here, Δx, Δp and h represent the uncertainty in…

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…

Q: An angle is measured to be 29.0±0.4deg. What is the absolute uncertainty in the sine of the angle?…

A: Solution: Calculate the absolute uncertainty in the sine of the angle.…

Q: The barrier potential for forward biasing in Si is: O -0.7V O 1.7V 0.7V

A: The potential difference required for the electrons to be passed across the electric field is…

Question

We can finally calculate the uncertainty in the axial distance using the
relation
where o, is the uncertainty in r.
Find the uncertainty in the axial distance of the particle's location.

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 by step

Solved in 2 steps with 2 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

A velocity measurement of an a-particle has been performed with a precision of 0.02 mm/s. What is the minimum uncertainty in its position?
Check your Understanding (a) Consider an infinite square well with wall boundaries x=0 and x=L. What is the of finding a quantum panicle in its state somewhere between x=0 and x=L/4? (b) Repeat question (a) for a classical panicle.
If the uncertainty in the y -component of a proton's position is 2.0 pm, find the minimum uncertainty in the simultaneous measurement of the proton's y -component of velocity. What is the minimum uncertainty in the simultaneous measurement of the proton's x -component of velocity?
Check Your Understanding A sodium atom nukes a transition from the first excited state the wound state, emitting a 589.0-nm photon with energy 2.105 eV. If the lifetime of this excited state is 16108s, what is the uncertainty in energy of this state? What is width of the corresponding line?
Check Your Understanding If a=3+4i , what is the product a* a?
Find the uncertainty in the moment of interia. Moment of interia of a disk depends on mass and radius accordng to this function I(m,r) = 1/2 m r. Your measured mass and radius have the following uncertainties Sm = 0.34 kg and Sr = 0.17 m. What is is the uncertainty in moment of interia, %3D S1 , if the measured mass, m 6.05 kg and the measured radius, r = 14.74 m? Units are not needed
calculate the slope and uncertainty in the slope.
Lunar 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?
Calcúlate 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?
Find the uncertainty in the moment of interia. Moment of interia of a disk depends on mass and radius according to this function I(m,r) = 1/2 m r2. Your measured mass and radius have the following uncertainties Sm = 0.2 kg and Sr = 0.11 m. What is is the uncertainty in moment of interia, 61 , if the measured mass, m = 7.99 kg and the measured radius, r = 19.26 m? Units are not needed in your 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.
A particle moves in one dimension along the r-axis, bouncing between two perfectly reflecting walls at r = 0 and r = l. In between collisions with the walls no forces act on the particle. Suppose there is an uncertainty Av, in the initial velocity vo. Determine the corresponding uncertainty Ar in the position of the particle after a time t.