MHT CET202311 May 2023Morning ShiftPhysicsNuclear PhysicsActual
In a radioactive disintegration, the ratio of initial number of atoms to the number of atoms present at time t= 1 2 is [ = decay constant ]
Options
- A1 e
- Be
- Ce
- D2 e
Correct answer
B. e
Step-by-step solution
According to radioactive disintegration law, aligned & N = N ₀ e ^ - t & N N ₀ = e ^ - t & N N ₀ = e ^ - 1 2 & ( t= 1 2 ) & N N ₀ = e ^ - 1 2 & N ₀ ~N = e ^ 1 2 & N ₀ ~N = e & aligned