How many metres of Fe must a v of 1 GeV penetrate to interact, on average,

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How many metres of Fe must a vμ of 1 GeV penetrate to interact, on average, once? How long does this take? Compare that distance with the diameter of the Earth’s orbit. [Note: σ = 0.017 fb, ρ = 7.7x103 kg m-3, Z = 26, A = 56.]

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