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PhysicsMediumNumerical2021 · 25 Jul Shift 1

Q18.The half-life of 198Au is 3 days. If atomic weight of 198Au is 198 g mol-1, then the activity of 2 mg of 198Au is [in disintegration second-1]: (1) 2 . 67 × 1012 (2) 6 . 06 × 1018 (3) 32 . 36 × 1012 (4) 16 . 18 × 1012

What This Question Tests

This question requires calculating the activity of a given mass of a radioactive isotope, involving its half-life, atomic weight, and Avogadro's number.

Concepts Tested

Activity of radioactive materialHalf-lifeDecay constantNumber of moles

Formulas Used

A = λN

λ = ln2 / T_half

N = (mass/atomic weight) * N_A

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