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Q.

The disintegration rate of a radioative elements changes from an initial value of 10000 disintegration per minute to 2500 disintegration per minute in 50 days. The half-life to the elements is

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a

25 days

b

50 days

c

75 days

d

100 days

answer is A.

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Detailed Solution

10,000 disintegrations $\underset{t_{0.5}}{\to}$ 5000 disintegrations $\overset{t_{0.5}}{⟶}$ 2500 disintegrations

Obviously $2 t_{0.5} = 50$ days. Hence $t_{0.5} = 25$ days

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