Answer :
OS-182 has a half-life of 3.6 days. If a sample started at 175grams and 5.47 grams left after 18 days .option D is correct.
what if half life?
Half-life is defined in terms of probability: "Half-life is the time required for exactly half of the entities to decay on average". In other words, the probability of a radioactive atom decaying within its half-life is 50%.
Nt = N0 (1/2) T/t
here, Nt = total amount of decay in a given time
N0 = amount of decay given
T = total time required
t = half-life time required
substituting the value in the equation,
Nt = 175 (1/2) 18/3.6
Nt = 5.47 grams .
The amount of time it takes for one half of a radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.
Therefore, option D is correct.
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