MHT CET202312 May 2023Evening ShiftPhysicsNuclear PhysicsActual
Two different radioactive elements with half lives ' T ₁ ' and ' T ₂ ' have undecayed atoms ' N ₁ ' and ' N ₂ ' respectively present at a given instant. The ratio of their activities at that instant is
Options
- AN ₁ ~T ₁ ~N ₂ ~T ₂
- BN ₂ ~T ₂ ~N ₁ ~T ₁
- CN ₁ ~T ₂ ~N ₂ ~T ₁
- DN ₁ ~N ₂ ~T ₁ ~T ₂
Correct answer
C. N ₁ ~T ₂ ~N ₂ ~T ₁
Step-by-step solution
Activity is given as: aligned A & = N & = 2 ~T aligned Ratio of two different radioactive elements will be: aligned & A ₁ ~A ₂ = ₁ ~N ₁ ₂ ~N ₂ & A ₁ ~A ₂ = 2 ~T ₁ ~N ₁ 2 ~T ₂ ~N ₂ & A ₁ ~A ₂ = N ₁ ~T ₂ ~N ₂ ~T ₁ aligned