Problem 40.6Part AA 16-nm-long box has a thin partition that dividesthe box into a 4-nm-long section and a12-nm-long section. An electron confined in theshorter section is in the n = 2 state. The partition isbriefly withdrawn, then reinserted, leaving theelectron in the longer section of the box.What is the electron's quantum state after the partition is back in place?n =Ο ΑΣΦ0?

Answered: Problem 40.6 Part A A 16-nm-long box…

University Physics Volume 3

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ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 58P: An electron in a box is in the ground state with energy 2.0 eV. (a) Find the width of the box. (b)...

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A physicist is watching a 15-kg orangutan at a zoo swing lazily in a tire at the end of a rope. He (the physicist) notices that each oscillation takes 3.00 s and hypothesizes that the energy is quantized. (a) What is the difference in energy in joules between allowed oscillator states? (b) What is the value of n for a state where the energy is 5.00 J? (c) Can the quantization be observed?
1. A particle in an infinite well is in the ground state with energy 1.54 eV. How much energy must be added to reach the second excited state (n = 3)? The third excited state (n = 4)? 2. An electron is trapped in a one-dimensional well of width 0.132 nm. The electron is in the n = 10 state. What is the energy of the electron? What is the uncertainty in its momentum?
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A quantum system has a ground state with energy Eo = 0 meV and a 2-fold degenerate excited state with energy E₁ = 50 meV. E1 Calculate the probability of finding the system in its ground state when it is at T = 300 K. Select one: O a. 0.78 O b. 0.22 O c. 1 O d. 0.87
DETAILS PREVIOUS ANSWERS SERPSE10 39.8.OP.024.MI. MY NOTES PRACTICE ANOTHER (a) An electron and a 0.0320 kg bullet each have a velocity of magnitude 480 m/s, accurate to within 0.0100%. Within what lower limit could we determine the position of each object along the direction of the velocity? (Give the lower limit for the electron in mm and that for the bulet in m.) 1205 343e 12 for the eiectron V mm for the bullet (b) What I7 Within what lower limit could we determine the position of each tbject along the direction of the velocity it the electron and the bulet were both relativistic, traveling at 0.300e measured with the same accuracy? (Give the lower limit for the electron in nm and that for the bullet in m.) for the electron Again, you will need to use the uncertainty principle, but note now the velooty is high compared to the speed of fight. So, you will need to use the relativistic definition of momentum. To find the uncertainty in velocity, treat the momentum and velocity…
6. An electron in hydrogen atom is in initial state Þ(r, 0) = A(2410o + iÞ210 + 421–1 – 2ib211) where wnim are the eigenfunctions of the hydrogen atom a. Determine the constant A b. What is the probability of finding the electron in the first excited state? hw = - n2 c. Write the state Þ(r, t) at time t, using energy eigenvalues as En d. Find the expectation value of L in the state Þ(r,t e. Find the expectation values of Lx and Ly in the state (r, t f. If measurement of Lz led to the value –ħ what will be results of measurement of energy and the square of total orbital momentum immediately afterwards and what are their probabilities?
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A particle in a box of length L a has E1 = 2 eV. The same particle in a box of length L b has E2 = 50 eV. What is the ratio L a/L b?

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