Q5: Assuming that the linear momentum of a given particle can be measured with an accuracy of 10⁻³  thousandth. Determine the minimum uncertainty in the particle’s position under the following conditions: 1. The mass of the particle is 5 grams and it is moving at a speed of 2m / s 2. The particle is an electron moving at a speed of   1.8 x 10⁸ m / s

4. An electron has a momentum py =1.30 x 10 kg.m/s. What is the minimum uncertainty in its position that will keep the relative uncertainty in its momentum (Apy/p) below 2.3%? (35.3 nm

What constraints does the uncertainty principle place on our knowledge of the world? To get a sense of scale, we’ll look at the uncertainty in speed for a confined electron and for a confined dust particle.a. What range of velocities might an electron have if confined toa 0.30-nm-wide region, about the size of an atom?b. A 1.0@mm@diameter dust particle (m ≈ 10-15 kg) is confined within a 5-μm-long box. Can we know with certainty if the particle is at rest? If not, within what range is its velocity likely to be found?

8. An electron is trapped within a sphere whose diameter is 5.20 x 10-15 m (about the size of the nucleus of a medium sized atom). What is the minimum uncertainty in the electron's momentum? kg.m/s

4. In an electron microscope electrons are accelerated by a 1500-V potential drop to a velocity of approximately 1x108 m/s. a) Calculate the de Broglie wavelength of these electrons. b) What size objects should such a microscope be able to visualize? Explain your answer. c) If you desire a minimum uncertainty in the position of the electrons in your microscope of 1 Å, what is the maximum uncertainty that is acceptable in the momentum and velocity of the electrons?..

2. A photon has a frequency of 7.50 x 1014 Hz, a. Determine the energy and the momentum of this photon. b. If all the energy of this photon were to be converted to mass, determine the equivalent mass for the particle. c. A microscopic specimen has a wavelength of 8.2 x 10-14m and a speed of 1.1 x 10° m/s. Determine the mass of this microscopic specimen.

Mehul

Which has the larger de Broglie wavelength, a 0.50 kg ball moving with a speed of 25 m/s or an electron traveling at 2/3 the speed of light?  The mass of an electron is 9.11 x 10-31 kg and the speed of light is 3 x 108 m/s.   Select one: a. It could be either, depending on the circumstances. b. The ball c. The electron

Rosco the world's biggest magic flying pumpkin. The pumpkin has a mass of: m = 2.5± 0.2 kg Rosco's pumpkin object moves (in space) at a speed of : v = 2.00 ± 0.04 m/s (K = // mv²) SK Figure out the kinetic energy also estimate the uncertainty of rosco's pumpkin and