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PhysicsMediumMCQ2010 · Unknown

Q29.A radioactive nucleus (initial mass number A and atomic number Z) emits 3α-particles and 2 positrons. The ratio of number of neutrons to that of protons in the final nucleus will be (1) A−Z−8 (2) A−Z−4 Z−4 Z−8 (3) A−Z−12 (4) A−Z−4 Z−4 Z−2

What This Question Tests

This question tests the ability to track changes in mass number and atomic number through multiple steps of alpha and positron decay, and then calculate the final neutron-to-proton ratio.

Concepts Tested

Alpha decayPositron emission (Beta-plus decay)Conservation of mass number and atomic numberNeutron-to-proton ratio

Formulas Used

Alpha decay: (A, Z) → (A-4, Z-2)

Positron emission: (A, Z) → (A, Z-1)

Number of neutrons = A - Z

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