Most Important Selected Qs for JEE AdvancedPhysicsNuclear Physics
Consider a radioactive sample having equal number of radio active nuclei A and B . A decays in X with decay constant . B decay in X and Y with decay constant and 2 respectively. Initially number of nuclei are given as N_A=N_B=N₀ and N_x=N_y=0 . At any later instant t , select the correct alternative(s) regarding number of nuclei of A, B, X and Y .
Options
- AN_A=N₀ e^ - t
- BN_B=N₀ e^ -3 t
- CN_x=N₀ ( 4 3 - 1 3 e^ -3 t )
- DN_y= 2 N₀ 3 (1-e^ -3 t )
Correct answer
D. N_y= 2 N₀ 3 (1-e^ -3 t )
Step-by-step solution
For, A N_A=N₀ e^ - t aligned & B _ eff = +2 =3 & N_B=N₀ e^ -3 t & At & N_x+N_y=N₀ & N_x N_y = 1 2 N_x= N₀ 3 [1-e^ -3 t ] aligned