If quantum mechanics replaces the language of Newtonian mechanics, why don’t we have to use wave functions to describe the motion of macroscopic objects such as baseballs and cars?
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- 2. A free particle (a particle that has zero potential energy) has mass 8 eV/c² and total energy 10 eV and is traveling to the right. At x = 0, the potential jumps from zero to Vo = 5 eV and remains at this value for all positive x. (a) In classical mechanics, what happens to the particle when it reaches x = 0? (b) What is the wavenumber of the quantum particle in the region x > 0? (c) Find the reflection coefficient R and the transmission coefficient T for the quantum particle. (d) If one million particles with this same momentum and energy are incident on this poten- tial step, how many particles are expected to continue along in the positive x direction? How does this compare with the classical prediction?Please asapIn a demonstration of the double slit experiment, a high velocity stream of dense spheres is fired at a slit , and another stream is fired at an adjacent identical slit. For each stream, all spheres pass straight through the slit, then hit the same location on a screen. Next, two streams of electrons are fired at two slits next to one another. On a screen beyond the slits, a diffraction pattern is formed. Which situation does classical mechanics explain, and which situation does quantum mechanics explain? Spheres Electrons A Classical mechanics Classical mechanics Spheres Electrons в Classical mechanics Quantum mechanics Spheres Electrons Quantum mechanics Classical mechanics Spheres Electrons D Quantum mechanics Quantum mechanics
- Let's think more about de Broglie's relation. Macro scale matters have wave nature, i.e., wavelength? (1) Our (humans) movements also have wavelength? Calculate wavelength of a human with a speed of 1 m/s. (2) How about electrons whose mass is extremely light? Calculate wavelength of an electron with a speed of 1 m/s.The velocity of an electron is known to be 1.000×105 m/s, with an uncertainty of Av = 1.00×102 m/s. (a) What is the minimum uncertainty in the electron's position, Av, in meters? (b) How does this compare to the de Broglie wavelength of the electron? (c) One of your professors (m = 75.0 kg) is pacing at the front of the classroom, and you measure their velocity to an uncertainty of Av = 0.100 m/s. What is the minimum uncertainty in a measurement of their position? (d) How does this compare to the height of your professor?(Quantum mechanics )Describe experiment and key observation. The X-ray diffraction pattern of aluminum foil. (b) The electron diffraction pattern of aluminum foil. The similarity of these two patterns shows that electrons can behave like X -rays and display wavelike properties What important basic principle do these two experiments prove?
- The allowed energies of a quantum system are 0.0 eV, 5.5 eV , and 9.0 eV. What wavelengths appear in the system's emission spectrum? (Express your answers in nanometers in ascending order separated by commas).A particle is in the n = 9 excited state of a quantum simple harmonic oscillator well. A photon with a frequency of 3.95 x 1015 Hz is emitted as the particle moves to the n = 7 excited state. What is the minimum photon frequency required for this particle to make a quantum jump from the ground state of this well to the n = 8 excited state? (Give your answer in Hz.)A quantum mechanical particle moving in one dimension between impenetrable barriers has energy levels ϵ,4ϵ,9ϵ,...ϵ, 4ϵ, 9ϵ, ... , that is En=ϵn2En=ϵ n2 . Suppose that ϵ=0.035eVϵ =0.035 eV for a certain such quantum system. What is the probability (as a percent) that such a system will be in its ground state when it is in contact with a reservoir at room temperature? The probability that the system will be in its ground state when it is in contact with a reservoir at room temperature is