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MHT CET202313 May 2023Morning ShiftPhysicsNuclear PhysicsActual

A radioactive sample has half-life of 5 years. The percentage of fraction decayed in 10 years will be

Options

  1. A25 %
  2. B50 %
  3. C75 %
  4. D100 %

Correct answer

C. 75 %

Step-by-step solution

Given: Total time, T =10 years Half life, T _ 1 / 2 =5 years No. of half lives, n = 10 5 =2 From N N ₀ = ( 1 2 )^ n N N ₀ = ( 1 2 )^2= 1 4 After 10 years, 1 4 ^ th of the original substance will remain. (1- 1 4 )= 3 4 100=75 % of the fraction would get decayed.

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