If 75 % of a radioactive sample disintegrates in 16 days, the half-life of the radioactive sample is

Step-by-step solution

If N₀ be the initial amount of radioactive sample, then after t=16 day, remaining amount, aligned N & =N₀-75 % of N₀ & =N₀- 75 100 N₀= N₀ 4 aligned Since, we know that, aligned & N=N₀ ( 1 2 )^n N₀ 4 =N₀ ( 1 2 )^n & 1 4 = ( 1 2 )^n ( 1 2 )^2= ( 1 2 )^n & n=2 t T_ 1 / 2 =2 16 T_ 1 / 2 =2 & T_ 1 / 2 = 16 2 =8 days aligned