A particle’s location is measured and specified as being exactly at x = 0, with zero uncertainty in the x direction. How does that location affect the uncertainty of its velocity component in the y direction? (a) It does not affect it. (b) It makes it infinite. (c) It makes it zero.

A particle’s location is measured and specified as being exactly at x = 0, with zero uncertainty in the x direction. How does that location affect the uncertainty of its velocity component in the y direction? (a) It does not affect it. (b) It makes it infinite. (c) It makes it zero.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter40: Quantum Mechanics

Section: Chapter Questions

Problem 17P

See similar textbooks

Related questions

Q: The uncertainty in the velocity V of a moving electron of mass 10−4010−40 kg is 2 x106m/s2…

A: The mass of the electron is, m=10-40 kg The velocity of the moving electron is, v=2×106 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: 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 speed of an electron is known to be between 3.0 x 106 m/s and 3.2 x 106 m/s. Estimate the…

A: Given: The range of electron's speed is 3.0×106 m/s to 3.2×106 m/s.

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

Q: In an electron microscope, the charge carriers must move from a source and sample. If those are 1.03…

A: Electrons are subatomic particles that revolve around the nucleus in an atom. Electrons are…

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: 1.1 x10" m's which has been An electron moves in a straight line with constant speed v measured with…

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

A: The velocity is given by, λν=c Thus, the frequency will be, ν=3×108 m·s-110-12 m =3×1020 s-1

Q: A spherical virus has a diameter of 50 nm. It is contained inside a long, narrow cell of length 1 x…

A: Given: The diameter of the spherical virus 50 nm. The length of the call is 1×10-4 m.

Q: An electron is moving along x axis with the speed of 2×106 m/s (known with a precision of 0.50%).…

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

Q: The speed of an electron is measured to be 5.00 × 103 m/s to an accuracy of 0.003 00%. Find the…

A: It is given that,

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

Q: Show that the uncertainty principle can be written in terms of force and time using…

A: uncertainty principle says that the location or position & velocity of an object cannot both be…

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

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: The wave function that describes any physical system must be multi- value and not infinite separate.…

A: the answer for the given question is FALSE (option 2) Explanation: Wave function is used to describe…

Q: A particle's energy is measured with an uncertainty of 0.030 eV. What is the smallest possible…

A: Given Data, Energy Uncertainty ∆E=0.030 eV

Q: The uncertainty of the velocity (Δv) of a proton in an accelerator constitutes 0.250% of the speed…

Q: A wave function is O made of a particle's equally likely trajectories from its emission to its…

A: A wave function is a variable quantity that mathematically describes the wave characteristics of a…

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: Under which scenario are quantum effects negligible? When the uncertainty in velocity is large…

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

Q: The principle of inaccuracy has nothing to do with measurement errors and does not arise from…

A: True The principle of inaccuracy has nothing to do with measurement errors and does not arise from…

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: 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: 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

A particle’s location is measured and specified as being exactly at x = 0, with zero uncertainty in the x direction. How does that location affect the uncertainty of its velocity component in the y direction? (a) It does not affect it. (b) It makes it infinite. (c) It makes it zero.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

The 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?
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?
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?
Can we measure both the position and momentum of a particle with complete precision?
Use Heisenberg's uncertainty principle to estimate the ground state energy of a particle oscillating on an spring with angular frequency, =k/m, where k is the spring constant and m is the mass.
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?
Show that if the uncertainty in the position of a particle is on the order of its de Broglie's wavelength, then the uncertainty in its momentum is on the order of the value of its momentum.
Is it possible that when we measure the energy of a quantum particle in a box, the measurement may return a smaller value than the ground state energy? What is the highest value of the energy that we can measure for this particle?
If a quantum particle is in a stationary state, does it mean that it does not move?
Can the magnitude of a wave function (*(x,t)(x,t)) be a negative number? Explain.
Can we simultaneously measure position and energy of a quantum oscillator? Why? Why not?
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?