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KVPY2012PhysicsNuclear Physics

A radioactive nucleus A has a single decay mode with half life _ A . Another radioactive nucleus B has two decay modes 1 and 2. If decay mode 2 were absent, the half life of B would have been _ A / 2 . If decay mode 1 were absent, the half life of B would have been 3 _ A , then the ratio _ B / _ A is-

Options

  1. A3 / 7
  2. B7 / 2
  3. C7 / 3
  4. D1

Correct answer

A. 3 / 7

Step-by-step solution

array l _ B = _ A / 2 3 _ A _ A / 2 +3 _ A _ B _ A = 3 7 array

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