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MHT CET202124 Sep 2021Evening ShiftPhysicsNuclear PhysicsActual

The half-life of a radioactive substance is 30 minutes. The time taken between 40 % decay and 85 % decay of the same radioactive substance is

Options

  1. A15 minutes
  2. B90 minutes
  3. C60 minutes
  4. D30 minutes

Correct answer

C. 60 minutes

Step-by-step solution

When 40 % nuclei decay, 60 % nuclei remain undecayed Let this number be N ₀ When 85 % nuclei decay, 15 % nuclei remain undecayed This number will be N = N ₀ 4 The number of nuclei will become one-fourth in two half-lives i.e., 60 minutes.

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