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ExamsJEE MainChemistry

A radioactive substance is accidentally spread on the floor of a room. If its half-life is 30 days and the initial activity is 10 times the allowed safe level, after how many days will it become safe to enter the room?

  1. 100 days
  2. 1000 days
  3. 300 days
  4. 10 days

Correct answer: 100 days

Solution

Need activity to drop from 10x to 1x: 10 = 2^n, n = log10/log2 = 3.32 half-lives. Time = 3.32 x 30 = ~100 days.

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