Calculate the fraction of the conduction electrons in tungsten (left(varepsilon_{F}=9.0 mathrm{eV}ight)) at (3000 mathrm{~K}) whose kinetic energy

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Calculate the fraction of the conduction electrons in tungsten \(\left(\varepsilon_{F}=9.0 \mathrm{eV}ight)\) at \(3000 \mathrm{~K}\) whose kinetic energy \(\varepsilon\left(=\frac{1}{2} m u^{2}ight)\) is greater than \(W(=13.5 \mathrm{eV})\). Also calculate the fraction of the electrons whose kinetic energy associated with the \(z\)-component of their motion, namely \(\left(\frac{1}{2} m u_{z}^{2}ight)\), is greater than \(13.5 \mathrm{eV}\).

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