Answer :
The decay constant comes out to be 0.0181 year⁻¹. The calculations are shown in the below section.
The decay constant, λ (lambda), is the “probability” that a particular nucleus will decay per unit time. The decay constant is unaffected by such factors as temperature, pressure, chemical form, and physical state (gas, liquid, or solid).
The half life of a radioactive substance = 38.2 years
The relation between half life and radioactive decay constant is expressed as follows-
∧ = 0.693 / t1/2
= 0.693 / 38.2 years
= 0.0181 year⁻¹
The decay constant comes out to be 0.0181 year⁻¹.
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