NEET2006PhysicsNuclear PhysicsActual
In a radioactive material the activity at time t₁ is R₁ and at a later time t₂ , it is R₂ . If the decay constant of the material is , then:
Options
- A(R₁=R₂ )
- B(R₁=R₂ e^ - (t₁-t₂ ) )
- C(R₁=R₂ e^ (t₁-t₂ ) )
- D( R ₁= R ₂ ( t ₂ / t ₁ ) )
Correct answer
B. (R₁=R₂ e^ - (t₁-t₂ ) )
Step-by-step solution
R₁=R₀ e^ - ₄ and R₂=R₀ e^ - ₂ aligned R₁ R, & = e^ - ₁ e^ - ₂ & =e^ - (t₁-t₂ ) R₁ & =R₂ e^ - (t₁-t₂ ) aligned