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JEE Advanced2008PhysicsNuclear PhysicsActual

A radioactive sample S₁ having an activity of 5 Ci has twice the number of nuclei as another sample S₂ which has an activity of 10 Ci . The half lives of S₁ and S₂ can be

Options

  1. A20 yr and 5 yr, respectively
  2. B20 yr and 10 yr, respectively
  3. C10 yr each
  4. D5 yr each

Correct answer

A. 20 yr and 5 yr, respectively

Step-by-step solution

Activity of S₁= 1 2 (activity of S₂ ) or ₂ N₁= 1 2 ( ₂ N₂ ) or ₁ ₂ = N₂ 2 N₁ or aligned & T₁ T₂ = 2 N₁ N₂ (T= half-life = 2 ) & N₁=2 N₂ & T₁ T₂ =4 aligned Given correct option is (a).

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