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A radioactive material has an initial am...

A radioactive material has an initial amount `16 gm` After `120` days it reduces to `1 gm`. Then the half-life of radioactive material is

A

60 days

B

30 days

C

40 days

D

240 days

Text Solution

Verified by Experts

The correct Answer is:
B

(b) `(N)/(N_0) = ((1)/(2))^n rArr ((1)/(16)) = ((1)/(2))^n rArr n = 4`
Also `n = (t)/(T_(1//2)) rArr T_(1//2) = (120)/(4) = 30 days`.
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