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3) A radioactive sample reduced to 45% of its initial value in 5 minutes. Calculate the half life of the sample.

3) A radioactive sample reduced to 45% of its initial value in 5 minutes. Calculate the half life of the sample.

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3) A radioactive sample reduced to 45% of its initial value in 5 minutes. Calculate the half life of the sample.
Transcribed Image Text:3) A radioactive sample reduced to 45% of its initial value in 5 minutes. Calculate the half life of the sample.
Expert Solution
Concept and Principle:
  • When there is amismathc between the number of protons and neutrons inside a nucleus they become unstable. An unstable nucleus will release tradition till it is stable. This process is called radio active decay.

 

  • This decay will be exponential in nature and is given by,

N=N0e−0.693(tt12)

Here N0 is the original number of radioactive nuclei present, t is the time, and t1/2 is the half-life of the radioactive sample. This is known as the exponential law of radioactive decay.

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