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Chapter 38: Problem 6
Transition metals can be defined as elements where the \(d\) shell goes from empty to full. How many transition metals are there in each period? a) 2 b) 6 c) 10 d) 14
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Show that the number of different electron states possible for a given value of \(n\) is \(2 n^{2}\).
A \(\mathrm{He}^{+}\) ion consists of a nucleus ( containing two protons and two neutrons) and a single electron. Obtain the Bohr radius for this system.
The radial wave function for hydrogen in the \(1 s\) state is given by \(R_{1 s}=A_{1} e^{-r / a_{0}}\) a) Calculate the normalization constant \(A_{1}\). b) Calculate the probability density at \(r=a_{0} / 2\). c) The \(1 s\) wave function has a maximum at \(r=0\) but the \(1 s\) radial density peaks at \(r=a_{0} .\) Explain this difference.
By what percentage is the electron mass changed in using the reduced mass for the hydrogen atom? What would the reduced mass be if the proton had the same mass as the electron?
A low-power laser has a power of \(0.50 \mathrm{~mW}\) and a beam diameter of \(3.0 \mathrm{~mm}\). a) Calculate the average light intensity of the laser beam, and b) compare it to the intensity of a 100 -W light bulb producing light viewed from \(2.0 \mathrm{~m}\).
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