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KCET2012PhysicsNuclear Physics

Decay constants of two radio-active samples A and B are 15 x and 3 x respectively. They have equal number of initial nuclei. The ratio of the number of nuclei left in A and B after a time 1 6 x is

Options

  1. Ae ⁻²
  2. Be
  3. Ce ²
  4. De ⁻¹

Correct answer

A. e ⁻²

Step-by-step solution

N ₁= N ₀₁ e ^ - ₁ t = N ₀ e ^ -15 x 1 6 x = N ₀ e ^ -5 / 2 and N ₂= N ₀₂ e ^ - ₂ t = N ₀ e ^ -3 x 1 6 x = N ₀ e ^ -1 / 2 N ₁ ~N ₂ = e ⁻²

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