Radium decompose at the rate proportional to the amount present at any time. If P % of amount disappears in one year, then amount of radium left after 2 years is

Step-by-step solution

P % amount disappears in one year. Let initial amount of radium = x ₀ Amount left after 1 year = x ₀- P 100 x ₀= x ₀ (1- P 100 ) Amount left after 2 years aligned & =x₀ (1- P 100 )- P 100 x₀ (1- P 100 ) & =x₀ (1- P 100 ) (1- P 100 )=x₀ (1- P 100 )^2 aligned