The mean path length of alpha-particles in air under standard conditions is defined by the formu...

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The mean path length of alpha-particles in air under standard conditions is defined by the formula \( R=0.98 \times 10^{-27} v_{0}^{3} \mathrm{~cm} \), where \( v_{0}(\mathrm{~cm} / \mathrm{s}) \) is the initial velocity of an alpha-particle. Using this formula, find for an alpha-particle with initial kinetic energy 7.0 MeV:
the average number of ion pairs formed by the given alpha-particle over the whole path \( R \) as well as over its first half, assuming the ion pair formation energy to be equal to \( 34 \mathrm{eV} \).
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