Answered: Ex. 1: The speed of an electron is…

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 the minimum uncertainty in determining the position of this electron.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter5: Matter Waves

Section: Chapter Questions

Problem 18P

See similar textbooks

Related questions

Q: (a) If the position of an electron in an atom is measured to an accuracy of 0.0100 nm, what is the…

A: (a) Write the expression for the Heisenberg uncertainty principle, and and solve for the…

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: 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: A pesky 1.5 mg mosquito is annoying you as you attempt to study physics in your room, which is 5.0 m…

A: a) Using Heisenberg’s uncertainty principle, the width of the room is equal to the horizontal…

Q: A proton is confined to a nucleus whose diameter is 5.5 × 10^−15 ?. If this distance is considered…

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: Calculate the uncertainty in momentum for a proton confined to a nucleus of radius 5.0 fm.

A: Using Heisenberg's uncertainty principle, ∆x∆p≥h4π∆p≥h4π∆x

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: 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: 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: 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: 2.(a) How much time is needed to measure the kinetic energy of an electron whose speed is 10.0 m/s…

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

Q: An atom in an excited state temporarily stores energy. If the lifetime of this excited state is…

A: To determine: The minimum uncertainty in the energy of the atom in the excited state Given: The…

Q: the measurement of electron energy requires a time interval of 1.0x10^28s. What's the smallest…

A: It is given that

Q: An electron is located on a pinpoint having a diameter of 5.89 µm. What is the minimum uncertainty…

A: Given Data : The diameter of the pinpoint is given as ∆x=5.89μm

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

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

Q: Suppose the visible light of wavelength i=500 nm position of an is used to determine the electron to…

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: . 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: If an electron’s position can be measured to a precisionof 2.4 x 10-8 m how precisely can its speed…

Q: A certain atom remains in an excited state for about 51.7 ns before emitting a 2.15-eV photon and…

Q: We can finally calculate the uncertainty in the axial distance using the relation || where o, is the…

Q: A photon passes through a horizontal slit of width 5 × 10-6 m. What uncertainty in the vertical…

A: Given: The width of the slit is ∆r=5×10-6 m. The expression to calculate the minimum uncertainty…

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

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: 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: c) If the position of an electron in an atom is measured to an accuracy of 0.0100 nm, i. Calculate…

Question

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 the minimum uncertainty in determining the
position of this electron.

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 1 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

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?
Suppose 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?
A 4.0 mg insect is observed to be stationary with an uncertainty of 0.1 mm. What is the uncertainty in the insect’s velocity?
the measurement of electron energy requires a time interval of 1.0x10^28s. What's the smallest possible uncertainty in the electrons energy?
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?
If the position of an electron in a membrane is measured to an accuracy of 3.58 µm, what is the electron's minimum uncertainty in velocity (in m/s)? a) If the electron has this velocity, what is its kinetic energy in eV? b) What are the implications of this energy, comparing it to typical molecular binding energies?
what is the absolute uncertainty in f=(x+y z)? Report your answer to two decimal places.
What is the minimum uncertainty in the speed of an electron that is known to be somewhere between 0.050 nm and 0.10 nm from a proton? v = _____ m/s
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?
A sodium gas is contained in a cubical container (T=250 K) with one side measuring 25.0 m. a.) What is the minimum uncertainty in momentum components of the sodium atoms? b.) What is the minimum uncertainty in velocity components? c.) Find the ratio of uncertainties in your answer in letter b, to the mean speed of an atom in each direction.
A 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?
Suppose an electron is confined to a region of length 0.1 nm (of the order of the size of a hydrogen atom) and its kinetic energy is equal to the ground state energy of the hydrogen atom in Bohr's model (13.6 eV). (a) What is the minimum uncertainty of its momentum? What fraction of its momentum is it? (b) What would the uncertainty in kinetic energy of this electron be if its momentum were equal to your answer in part (a)? What fraction of its kinetic energy is it?