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German physicist Werner Heisenberg related the uncertainty of an object's position (deltax) to the uncertainty in its velocity deltav.

The mass of an electron is 9.11 x 10-31 kg.
What is the uncertainty in the position of an electron moving at 9.00 x 106 m/s with an uncertainty of
deltav x 0.01 x 106 m/s?

A 10 g bullet leaves a rifle muzzle at a speed of 120 m/s.
a.) If the uncertainty of the bullet's position is known to the accuracy of the barrel's radius (0.5 cm), what is the minimum uncertainty in the bullet's momentum?
b.) Repeat for an electron. Where the accuracy of its position is known to be +/- 1 angstrom (10-10

Calculate the uncertainty in position of an electron that has been accelerated across a potential difference of 100 kV +/- 100 V.
Hints: Derive an expression for the momentum as a function of the voltage (potential difference) and differentiate. Also dV may be represented by the uncertainty in the voltage (i.e. +/- 100 volts

An electron of energy 200 eV is passed through a circular hole of radius 10^-4 cm. Find the uncertainty introduced in the angle of emergence? What would be the corresponding uncertainty for a 0.1 g lead ball thrown with a velocity 10^3 cm/s through a hole of 1 cm radius?

(a) Estimate the uncertainty in the momentum of an electron whose location is uncertain by a distance of 2 Angstrom. What is the uncertainty in the momentum of a proton under the same conditions?
(b) What can one conclude about the relative velocities and energies of the electron and proton in the last problem? Are wave phenom

An electron is trapped in an infinite one-dimensional potential well of width 0.132 nm. The electron is in the n=10 state.
A) What is energy of the electron?
B) What is the uncertainty in its momentum?

Suppose the minimum uncertainty in the position of a particle is equal to its de Broglie wavelength. If the particle has an average speed of 4.5x10^5 m/s, what is the minimum uncertainty in its speed? Units are in m/s.

Part 1
Suppose optical radiation (of wavelength 2.6 × 10^-7 m) is used to determine the position of an electron to within the wavelength of the light. The mass of an electron is 9.10939 × 10^-31 kg and the Planck's constant is 6.62607 × 10^-34 J · s.
What will be the minimum resulting uncertainty in the electron's velocit

Part 1
A beam of electrons traveling with speed 7 × 10 ^7 m/s passes through a slit of width 1 × 10 ^(-5) m. Because of the uncertainty in the lateral position of the beam, there will be an uncertainty in the transverse momentum as well.
Estimate this uncertainty, and use it to calculate the spread of the image of the elect