Physics (5th Edition)
5th Edition
ISBN: 9780321976444
Author: James S. Walker
Publisher: PEARSON
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Chapter 30.6, Problem 6EYU
To determine
Whether the greater uncertainty in momentum in (a) or in (b).
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Assuming we improve our measurement of an electron's position so that the uncertainty in the position ΔΔx is 1 pm, what is the minimum uncertainty in our determination of its momentum?
An electron and a proton, each initially at rest, are accelerated across the same voltage. Assuming that the uncertaintyin their position is given by their de Broglie wavelength,find the ratio of the uncertainty in their momentum.
assume that an electron is moving along the x-axis and that you measure its speed to be 20.5*10^6m/s, which can be known with of precision of 0.50%. what is the minimum uncertainty (as allowed by the uncertainty principle in quantum theory )with which you can simultaneously measure the position of the electron along the x-axis?
Chapter 30 Solutions
Physics (5th Edition)
Ch. 30.1 - Prob. 1EYUCh. 30.2 - Prob. 2EYUCh. 30.3 - Prob. 3EYUCh. 30.4 - Prob. 4EYUCh. 30.5 - Prob. 5EYUCh. 30.6 - Prob. 6EYUCh. 30.7 - Prob. 7EYUCh. 30 - Prob. 1CQCh. 30 - Prob. 2CQCh. 30 - Prob. 3CQ
Ch. 30 - Prob. 4CQCh. 30 - Prob. 5CQCh. 30 - Prob. 6CQCh. 30 - Prob. 7CQCh. 30 - Prob. 8CQCh. 30 - Prob. 9CQCh. 30 - Prob. 10CQCh. 30 - Prob. 1PCECh. 30 - Prob. 2PCECh. 30 - Prob. 3PCECh. 30 - The Sun has a surface temperature of about 5800 K....Ch. 30 - Prob. 5PCECh. 30 - Prob. 6PCECh. 30 - (a) By what factor does the peak frequency change...Ch. 30 - Prob. 8PCECh. 30 - Prob. 9PCECh. 30 - Prob. 10PCECh. 30 - Prob. 11PCECh. 30 - Prob. 12PCECh. 30 - Prob. 13PCECh. 30 - Prob. 14PCECh. 30 - Prob. 15PCECh. 30 - Prob. 16PCECh. 30 - Prob. 17PCECh. 30 - Prob. 18PCECh. 30 - Prob. 19PCECh. 30 - Prob. 20PCECh. 30 - Prob. 21PCECh. 30 - Prob. 22PCECh. 30 - Prob. 23PCECh. 30 - Prob. 24PCECh. 30 - Prob. 25PCECh. 30 - Prob. 26PCECh. 30 - Prob. 27PCECh. 30 - Prob. 28PCECh. 30 - Prob. 29PCECh. 30 - Prob. 30PCECh. 30 - Prob. 31PCECh. 30 - Prob. 32PCECh. 30 - Prob. 33PCECh. 30 - Prob. 34PCECh. 30 - Prob. 35PCECh. 30 - BIO Owl Vision Owls have large, sensitive eyes for...Ch. 30 - Prob. 37PCECh. 30 - Prob. 38PCECh. 30 - Prob. 39PCECh. 30 - Prob. 40PCECh. 30 - Prob. 41PCECh. 30 - Prob. 42PCECh. 30 - Prob. 43PCECh. 30 - Prob. 44PCECh. 30 - Prob. 45PCECh. 30 - Prob. 46PCECh. 30 - Prob. 47PCECh. 30 - Prob. 48PCECh. 30 - Prob. 49PCECh. 30 - Prob. 50PCECh. 30 - Prob. 51PCECh. 30 - Prob. 52PCECh. 30 - Prob. 53PCECh. 30 - Prob. 54PCECh. 30 - Prob. 55PCECh. 30 - Prob. 56PCECh. 30 - Prob. 57PCECh. 30 - Prob. 58PCECh. 30 - Prob. 59PCECh. 30 - Prob. 60PCECh. 30 - Prob. 61PCECh. 30 - Prob. 62PCECh. 30 - Prob. 63PCECh. 30 - Prob. 64PCECh. 30 - Prob. 65PCECh. 30 - Prob. 66PCECh. 30 - Prob. 67PCECh. 30 - Prob. 68PCECh. 30 - Prob. 69PCECh. 30 - Prob. 70PCECh. 30 - Prob. 71PCECh. 30 - Prob. 72PCECh. 30 - Prob. 73PCECh. 30 - Prob. 74PCECh. 30 - Prob. 75PCECh. 30 - Prob. 76PCECh. 30 - Prob. 77PCECh. 30 - Prob. 78PCECh. 30 - Prob. 79PCECh. 30 - Prob. 80GPCh. 30 - Prob. 81GPCh. 30 - Prob. 82GPCh. 30 - Prob. 83GPCh. 30 - Prob. 84GPCh. 30 - Prob. 85GPCh. 30 - Prob. 86GPCh. 30 - Prob. 87GPCh. 30 - Prob. 88GPCh. 30 - Prob. 89GPCh. 30 - Prob. 90GPCh. 30 - Prob. 91GPCh. 30 - Prob. 92GPCh. 30 - Prob. 93GPCh. 30 - Prob. 94GPCh. 30 - Prob. 95GPCh. 30 - Prob. 96GPCh. 30 - Prob. 97PPCh. 30 - Prob. 98PPCh. 30 - Prob. 99PPCh. 30 - Prob. 100PPCh. 30 - Prob. 101PPCh. 30 - Prob. 102PP
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- If a quantum particle is in a stationary state, does it mean that it does not move?arrow_forwardA proton is confined to a nucleus whose diameter is 5.5 × 10^−15 ?. If this distance is considered to be the uncertainty in the position of the proton, what is the minimum uncertainty in its momentum?arrow_forwardIf an electron is moving at 2m/s with an uncertainty of 10%, what is the minimum uncertainty in the electron’s position?arrow_forward
- An electron's position is known with an uncertainty of 1.0 × 10^(-9) meters. Calculate the minimum uncertainty in its momentum, assuming the minimum uncertainty principle holds.arrow_forwardIt the world of the atom is so uncertain and subject to the laws of probabilities, how can we accurately measure such things as light intensity, electric current, and temperature?arrow_forwardThe speed of a certain proton is 350 km s-1. If the uncertainty in its momentum is 0.0100 per cent. what uncertainty in its location must be tolerated?arrow_forward
- The uncertainty in the position of an electron along an x axis is given as 50 pm, which is about equal to the radius of a hydrogen atom.What is the least uncertainty in any simultaneous measurement of the momentum component px of this electron?arrow_forwardAn electron has been accelerated by a potential difference of 100 V. If its position is known to have an uncertainty of 1 nm, what is the percent uncertainty (Δp/p×100) of the electronarrow_forwardSuppose the position of a chlorine ion in a membrane is measured to an accuracy of 0.75 μm. a) What is its minimum uncertainty in velocity in meters per second, given its mass is 5.86 × 10-26 kg? b) If the ion is measured to have a velocity of 8.9 × 103 m/s, what is the uncertainty in its kinetic energy in electron volts?arrow_forward
- Rayleigh’s criterion is used to determine when two objects are barely resolved by a lens of diameter d. The angular separation must be greater than θR where θR = 1.22 λ/d In order to resolve two objects 4000 nm apart at a distance of 20 cm with a lens of diameter 5 cm, what energy (a) photons or (b) electrons should be used? Is this consistent with the uncertainty principle?arrow_forwardA 0.500kg block rests on the frictionless, icy surface of a frozen pond . if the location of the block is measured to a precision of 0.150 cm and its mass known exactly,what is the minimum uncertainty in the block's speed?arrow_forwardWhat is the smallest box in which you can confine an electron if you want to know for certain that the uncertainty in the electron’s speed is no more than 20 m/s?arrow_forward
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