Question

In: Physics

What is the minimum uncertainty in its position that will keep the relative uncertainty in its momentum (p/p) below 2.0%?

An electron has a momentum p= 1.9×1025 kg m/s.

What is the minimum uncertainty in its position that will keep the relative uncertainty in its momentum (p/p) below 2.0%?

Answer is in nm

 

Solutions

Expert Solution


Related Solutions

If a particle’s momentum uncertainty, what is the uncertainty in its position. Very briefly, what does...
If a particle’s momentum uncertainty, what is the uncertainty in its position. Very briefly, what does this result mean? What is the Compton effect? What is measured in observations of the Compton effect? How does this differ from the expectations of classical physics? At what condition for incident radiation can the effect be observed? What important property of light does the Compton effect demonstrate? How does it give evidence of electromagnetic radiation`s particle nature?
Minimum uncertainty in momentum of bullet
A 12 gram bullet leaves the barrel of a rifle at 180 m/s. If the vertical position of the bullet is known to a precision of 0.65 cm (radius of the rifle's barrel). What is the minimum uncertainty in the bullet's vertical momentum?
The most basic explanation for the Heisenberg Uncertainty Principle is that the momentum and position of...
The most basic explanation for the Heisenberg Uncertainty Principle is that the momentum and position of a quantum particle is not very distinct when an attempt is made to measure them together. But what is it that causes the uncertainty? Because if there is no change in the momentum, then it would be the same as measuring the two separately. So what causes this change in the instantaneous perceived momentum. A change in mass? Velocity? Or net composition of the...
particle in a well 1. Using the uncertainty principle for position and momentum, estimate the ground...
particle in a well 1. Using the uncertainty principle for position and momentum, estimate the ground state energy for an infinite well of width a, compare the obtained result with the one found in the lecture. 2. Compute <p> and <x> for the particle in a box. 3. Prove that the eigenfunctions ψn(x) are orthogonal . 4. What are the energies of the ground state, first excited and second excited states for an electron trapped in an infinite well of...
Exercise 6: A) How does the Heisenberg Uncertainty (with momentum and position) force us to abandon...
Exercise 6: A) How does the Heisenberg Uncertainty (with momentum and position) force us to abandon a deterministic universe? B) In what important ways is the Bohr model of the atom incompatible with quantum theory? Include the concept of orbits and what is known about angular momentum.
1. What is the momentum (p) of a 960-MeV proton (that is, its kinetic energy is...
1. What is the momentum (p) of a 960-MeV proton (that is, its kinetic energy is 960 MeVMeV )? Express your answer with the appropriate units. 2. An electron (mmm = 9.11×10−31 kg ) is accelerated from rest to speed vv by a conservative force. In this process, its potential energy decreases by 6.70×10−14 JJ . Determine the electron's speed, v. (in term of c.)
An object is moving along a straight line, and the uncertainty in its position is 2.20...
An object is moving along a straight line, and the uncertainty in its position is 2.20 m. (a) Find the minimum uncertainty in the momentum of the object. Find the minimum uncertainty in the object's velocity, assuming that the object is (b) a golf ball (mass = 0.0450 kg) and (c) an electron.
Governments artificially keep minimum wage above equilibrium, and in some cases, keep rent payments below the...
Governments artificially keep minimum wage above equilibrium, and in some cases, keep rent payments below the market equilibrium. What are the ramifications of a too high minimum wage and a too low rent payment? Provide examples of the pros and cons of each scenario.  
What is the uncertainty of the position of the bacterium? Express your answer with the appropriate...
What is the uncertainty of the position of the bacterium? Express your answer with the appropriate units. -------- A student is examining a bacterium under the microscope. The E. coli bacterial cell has a mass of m = 1.10 fg (where a femtogram, fg, is 10−15g) and is swimming at a velocity of v = 9.00 μm/s , with an uncertainty in the velocity of 7.00 % . E. coli bacterial cells are around 1 μm ( 10−6 m) in...
2a. Confirm that the position and momentum, p=-ℏ ∂/∂x, operators do not commute. 2b. Show how...
2a. Confirm that the position and momentum, p=-ℏ ∂/∂x, operators do not commute. 2b. Show how the statement above limits the ability for a state that to be both an eigenstate of position and momentum concurrently. 2c. For an eigenstate where the momentum is zero, show that x than p leads to a result, xp, that is different than that of p then x.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT