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Question

The half-life of a radioactive substance is 30 minutes. The time (in minutes) taken between 40% decay and 85% decay of the same radioactive substance is
  1. 15
  2. 30
  3. 45
  4. 60

A
60
B
15
C
45
D
30
Solution
Verified by Toppr

N0 =Nuclei at time t=0
N1=Remaining nuclei after 40% decay =(10.4)N0=0.6N0
N2=Remaining nuclei after 85% decay
=(10.85)N0=0.15N0N2N1=0.15N00.6N0=14=(12)2
Hence, two half life is required beweeen 40% decay and 85% decay of radio active substance.
Time taken =2π12=2×30=60min

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