A radioactive substance reduces to `1/32` of its original value in 300 days. The half life of radioactive substance is

Options

A. 60 days
B. 50 days
C. 40 days
D. 30 days

Answer

A

Explanation

`N/N_(0)=(1/2)^(n)` where `n=t/T`
`1/32 =(1/2)^(n)`
`(1/2)^(5)=(1/2)^(n)`
`:. n=5`
i.e. `t/T=5`
`:. T=t/5=300/5=60` days