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MHT CET202120 Sep 2021Morning ShiftPhysicsNuclear PhysicsActual

A sample of radioactive element contains 8 10¹⁶ active nuclei. The halt-life of the element is 15 days. The number of nuclei decayed after 60 days is

Options

  1. A7.5 10⁺¹⁶
  2. B2.0 10¹⁶
  3. C0.5 10¹⁶
  4. D4.0 10¹⁶

Correct answer

A. 7.5 10⁺¹⁶

Step-by-step solution

Half life, T =15 days, time t =60 days =4 ~T The number of nuclei remaining is given by aligned & N = N ₀ ( 1 2 )^ n = N ₀ ( 1 2 )^4= 1 16 8 10¹⁶ & =0.5 10¹⁶ & No. of nuclei decayed = N ₀- N & =8 10¹⁶-0.5 10¹⁶=7.5 10¹⁶ aligned

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