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Asked in CBSE AIPMT 1995 · Q-value, decay and conservation laws
Only α emission changes the mass number, and it takes away 4 nucleons each time.
Number of α-particles: (200-168)/4=(32)/4=8.
Those 8 α-particles on their own would carry off 16 protons, taking the atomic number from 90 to 74.
The daughter actually has Z=80, so β⁻ emissions have put back 80-74=6 units of charge.
Each β⁻ raises Z by 1, so 6 β-particles are emitted: 8 and 6.
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