KCET2023PhysicsNuclear Physics
A radioactive sample has half-life of 3 years. The time required for the activity of the sample to reduce to 1 5 th of its initial value is about
Options
- A10 years
- B7 years
- C15 years
- D5 years
Correct answer
B. 7 years
Step-by-step solution
Given, T_ 1 / 2 =3 years We know that R=R₀ e^ - t Here, R= R₀ 5 aligned & R₀ 5 =R₀ e^ - t 1 5 =e^ - t & (9⁻¹= (e^ - t ) . & t= 5 = 5 0.693 t_ 1 / 2 = 5 0.693 t_ 1 / 2 = 5 0.693 3 & =6.96 7 years aligned