U235 has a decay constant of 3.138 × 10-17 s-1. Activity of 1 ug of the sample will be 80.386×10-3 Bq. How many decays per second occur when the sample is one week old?

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U235 has a decay constant of 3.138 × 10-17 s-1. Activity of 1 µg of the sample will be 80.386×10-3 Bq. How many decays per second
occur when the sample is one week old?
Transcribed Image Text:U235 has a decay constant of 3.138 × 10-17 s-1. Activity of 1 µg of the sample will be 80.386×10-3 Bq. How many decays per second occur when the sample is one week old?
Expert Solution
Concept and Principle:
  • Unstable nuclei become stable by radiating energy. This process is called radioactivity. The rate at which this takes place is called activity.

 

  • Radioactivity follows an exponential form. The activity thus is given by the exponential law of radioactive decay.

 

  • As per the exponential law of radioactive decay, the activity of a radioactive sample is given by,

a=a0eλt

Here a0 is the original activity, λ is the decay constant, and t is the time.

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