(i) Show that the kinetic energy of an alpha particle produced by the decay of a stationary 210Th nuclide is given by To Q((mTh-ma)c² - Q) mThc² - Q where ma is the mass of the alpha particle, mTh is the mass of the thorium nuclide, and has its usual meaning in nuclear decays. Note that none of the particles are moving relativistically. (ii) To is measured to be 7.8985 MeV, mTh, is measured to be 210.015075 u, the mass of the alpha particle is measured to be 4.001506 u, and the mass of the electron is measured to be 0.0005486 u.

(i) Show that the kinetic energy of an alpha particle produced by the decay of a stationary 210Th nuclide is given by To Q((mTh-ma)c² - Q) mThc² - Q where ma is the mass of the alpha particle, mTh is the mass of the thorium nuclide, and has its usual meaning in nuclear decays. Note that none of the particles are moving relativistically. (ii) To is measured to be 7.8985 MeV, mTh, is measured to be 210.015075 u, the mass of the alpha particle is measured to be 4.001506 u, and the mass of the electron is measured to be 0.0005486 u.

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Chapter1: Units, Trigonometry. And Vectors

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3. (i) Show that the kinetic energy of an alpha particle produced by the decay of a
stationary 210Th nuclide is given by
To
=
Q ((mTh-ma)c² — Q)
mThc² - Q
where ma is the mass of the alpha particle, mTh is the mass of the thorium
nuclide, and Q has its usual meaning in nuclear decays. Note that none of the
particles are moving relativistically.
(ii) To is measured to be 7.8985 MeV, mTh, is measured to be 210.015075 u, the
mass of the alpha particle is measured to be 4.001506 u, and the mass of the
electron is measured to be 0.0005486 u.
Calculate the mass in atomic mass units of the neutral daughter nuclide pro-
duced by the decay.

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