Concept explainers
The slope of the plot of energy versus wavelength for the Rayleigh-Jeans law is given by a rearrangement of equation
What are the value and units of this slope for a blackbody having the following temperatures and at the following wavelengths? (a)
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Physical Chemistry
- The Lyman series of spectral lines for the H atom, in the ultraviolet region, arises from transitions from higher levels to n = 1. Calculate the frequency and wavelength of the least energetic line in this series.arrow_forwardFor hydrogen atoms, the wave function for the state n = 3, l = 0, ml = 0 is 300=1813(1a0)3/2(2718+22)e where = r/a0 and a0 is the Bohr radius (5.29 1011 m). Calculate the position of the nodes for this wave function.arrow_forwardThe ionization energy of rubidium is 403 kJ/mol. Do x-rays with a wavelength of 85 nm have sufficient energy to ionize rubidium?arrow_forward
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- For the system described in Exercise E7B.1(a) (A possible wavefunction for an electron in a region of length L (i.e. from x = 0 to x = L) is sin(2πx/L). Normalize this wavefunction (to 1)), what is the probability of finding the electron between x = L/4 and x = L/2?arrow_forwardn = 9.19 (a) Calculate Ax Apx for a particle in a linear box for 1, 2, and 3 using the equation in Example 9.13. Compare these values with the minimum product of uncertainties from the Heisenberg uncertainty principle. (b) What is the uncer- tainty in x for a particle in a 0.2-nm box when its quantum num- ber is unity? In a 2-nm box?arrow_forwardWrite down the expression for the radial distribution function of a 2p electron in a hydrogenic atom of atomic number Z and identify the radius at which the electron is most likely to be found.arrow_forward
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