Inquiry into Physics
8th Edition
ISBN: 9781337515863
Author: Ostdiek
Publisher: Cengage
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Chapter 10, Problem 5C
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What is the circumference of the
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Consider an electron in a one-dimensional box of length 0.16 nm. (a) Calculate the energy difference
between the n=2 and n =1 states of the electron. (b) Calculate the energy difference for a N, molecule
in a one-dimensional box of length 19.0 cm.
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An electron is in a three-dimensional box with side lengths LX = 0.600 nm and LY = LZ = 2LX. What are the quantum numbers nX, nY, and nZ and the energies, in eV, for the four lowest energy levels? What is the degeneracy of each (including the degeneracy due to spin)?
-2r/rB dr. Find the probability that the
r2e
The radial probabiliity density for an electron in the 1s orbital is given by P(r)
electron is found between 1.22 rg and (1.22+0.001)r;. Give you answer to two decimal places in exponential notation.
Round your answer to 2 decimal places.
Add your answer
Chapter 10 Solutions
Inquiry into Physics
Ch. 10 - Prob. 1SACh. 10 - Prob. 1OACh. 10 - Prob. 1PIPCh. 10 - Prob. 1MIOCh. 10 - Prob. 2MIOCh. 10 - Prob. 1QCh. 10 - Prob. 2QCh. 10 - Prob. 3QCh. 10 - Prob. 4QCh. 10 - Prob. 5Q
Ch. 10 - Prob. 6QCh. 10 - Prob. 7QCh. 10 - Prob. 8QCh. 10 - Prob. 9QCh. 10 - Prob. 10QCh. 10 - Prob. 11QCh. 10 - (Indicates a review question, which means it...Ch. 10 - Prob. 13QCh. 10 - Prob. 14QCh. 10 - (Indicates a review question, which means it...Ch. 10 - Prob. 16QCh. 10 - Prob. 17QCh. 10 - Prob. 18QCh. 10 - Prob. 19QCh. 10 - Prob. 20QCh. 10 - Prob. 21QCh. 10 - Prob. 22QCh. 10 - Prob. 23QCh. 10 - Prob. 24QCh. 10 - Prob. 25QCh. 10 - Prob. 26QCh. 10 - Prob. 27QCh. 10 - Prob. 28QCh. 10 - Prob. 29QCh. 10 - Prob. 30QCh. 10 - Prob. 31QCh. 10 - Prob. 32QCh. 10 - Prob. 33QCh. 10 - Prob. 34QCh. 10 - Prob. 35QCh. 10 - Prob. 36QCh. 10 - Prob. 37QCh. 10 - Prob. 38QCh. 10 - Prob. 39QCh. 10 - Prob. 40QCh. 10 - Prob. 41QCh. 10 - Prob. 42QCh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - Prob. 4PCh. 10 - Prob. 5PCh. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - Prob. 8PCh. 10 - Prob. 9PCh. 10 - Prob. 10PCh. 10 - Prob. 11PCh. 10 - Prob. 12PCh. 10 - . Figure 10.47 is the energy-level diagram for a...Ch. 10 - Prob. 14PCh. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Prob. 19PCh. 10 - Prob. 20PCh. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 1CCh. 10 - Prob. 2CCh. 10 - The rate at which solar wind particles enter the...Ch. 10 - Prob. 4CCh. 10 - Prob. 5CCh. 10 - Prob. 6C
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- 4.a. Show that the most probable value of r ( H-atom radius) in la state is a. b: Write wavefunction of the 2s orbital W2,(r,0.6).arrow_forwardThe wave function for H-atom in 1s state is given below. Explain the radial probability density of H-atom in 1s state and also write an expression for the same. Sketch schematically the plot of this vs. radial distance.arrow_forwardConsider the q-vector in the figure. a) What would a be if the vector is normalized? b) If this vector represents a quanton's spin state, what is the probability that determining Sx will yield -hbar/2?arrow_forward
- Solve the following problem: Use rest mass energy of the electron 0.5 MeV Consider an atomic level with quantum numbers n = 2,l = 1 and maximum total angular momentum. a. Find the first order relativistic correction to this level, in electron- volts. b. Find the first order spin-orbit correction to this level, in electron-volts. C. Use your result in parts a and b to find the energy of that level.arrow_forwardA(',"). 1 – 2i - An electron is in the spin state x = A 2 Find the expectation value of Sy for an electron in the state Xarrow_forwardEx. 10 : An electron in hydrogen atom stays in 2nd orbit for 10 S, How many, revoltution will it make till it jumps to the ground state ?arrow_forward
- 3. a) According to the spherical shell model, predict J" for the ground state and first excitation of 'Be, ¹70 and 2¹Ne. b) Explain pros and cons of the shell model based on a harmonic oscillator potential of the type: Vo = 1/2 kr².arrow_forwardHow do the allowed orbits for electrons in atoms differ from the allowed orbits for planets around the sun? Explain how the correspondence principle applies here.arrow_forwardInvestigators have created structures consisting of linear chains of ionized atoms on a smooth surface. Electrons are restricted to travel along the chain. The energy levels of the electrons match the results of the particle-in-a-box model. For a 5.0-nm-long chain, what are the energies (in eV) of the first three states?arrow_forward
- 1. Derive the density of states as a function of energy for a purely two-dimensional electron system. Show the result in a graph and compare qualitatively with that for 0, 1 and 3 dimensions (1 page maximum).arrow_forwardThe Lennard-Jones parameters for argon are: A = 1.022 x 10-7 J m° and B = 1.579 x 10-134 J m12. Calculate the distance at which the energy will be minimum and calculate the minimum energy. Draw the energy profile also. I.arrow_forwardWrite an expression for the total number of states with orbital angular momentum l.arrow_forward
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