Explanation The energy loss per unit distance is directly proportional to the square of charge and inversely proportional to the kinetic energy of the ion. Write the expression for the loss in energy. Δ K ∝ − m q 2 2 K (I) Here, Δ K is the loss in energy, m is the mass of the ion, q is the charge of the ion, and K is the kinetic energy. Analogous to equation (I), for proton, the equation can be written as, Δ K p ∝ − m p q p 2 2 K p (II) Analogous to equation (I), for deuteron, the equation can be written as, Δ K d ∝ − m d q d 2 2 K d (III) Conclusion: The proton and deuterons lose the same amount of kinetic energy. K p = K d Use (II) and (III) in the above equation

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ISBN: 9780471522782

Author: Morton M. Sternheim

Publisher: WILEY

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Chapter 31, Problem 10E

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The relation of energy loss between protons and deuterons.

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The relation of energy loss between protons and deuterons.

Solution Summary: The author explains the relation of energy loss between protons and deuterons. The loss in kinetic energy of deuteron is twice that of proton.

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