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KCET2024PhysicsNuclear Physics

The natural logarithm of the activity R of a radioactive sample varies with time t as shown. At t=0 , there are N₀ undecayed nuclei. Then, N₀ is equal to [Take e^2=7.5 ]

Options

  1. A7500
  2. B3500
  3. C75000
  4. D150000

Correct answer

C. 75000

Step-by-step solution

From the diagram at t=0 _e R₀=2 R₀=e^2=7.5 Since, R₀= N₀ ....(i) Since, = Slope of graph = 1 10 10^3 =10⁻⁴ ~s ⁻¹ From Eq. (i), N₀= R₀ = 7.5 10⁻⁴ =75000

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