The isotope 226 Ra Alpha decays. its measured atomic mass is 226.02541 amu, the

Question

The isotope 226 Ra Alpha decays. its measured atomic mass is 226.02541 amu, the daughter nucleus has a mass of 222.01758 amu and helium has atomic mass 4.0026 amu. (a) identify the daughter nucleus by name, nucleon number, atomic number and neutron number. (b) calculate the kinetic energy of the alpha particle, neglecting the recoil of the daughter nucleus. (c) if this alpha particle travels due east through a magnetic field of 0.5 T pointing straight down, in what direction does the particle's path curve and what is the radius of the particle's trajectory? To go from KE to the partcle speed, use the relativistic formula for KE.

Explanation / Answer

Alpha decay of Ra-226 gives Rn-222.(Radon)

it has 222 nucleons , atomic no: 86 and neutron no. =222-86 =136.

cal mass defect = mass of reactants -mass of products.

=226.02541 -(4.0026+222.01758) = 0.00522amu

kinetic energy = 931.1 Mev*0.0052 = 4.8 Mev

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