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AP EAMCET20227 Jul 2022Evening ShiftPhysicsNuclear PhysicsActual

A radioactive element of mass 1 ~kg after N years is left with only. 125 ~g . If the half life of the element is 12.5 y , then the value of N is

Options

  1. A37.5 years
  2. B25.0 years
  3. C50.0 years
  4. D75.0 years

Correct answer

A. 37.5 years

Step-by-step solution

( ) Given: Initial amount of radioactive substance is 1 ~kg and half-life is 12.5 y . Decay scheme will be 1 ~kg 125 y 500 ~g 125 y 250 ~g 125 y 125 ~g So time required is t=3 T_ 1 / 2 =3 12.5=37.5 years

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