Decay constant of a radioactive substance is `69.3 sec^(-1)`, find `t_(1//16)` of the same substance.

Options

A. `4xx10^(-2)` sec
B. `2xx10^(-2)` sec
C. `1xx10^(-2)` sec
D. none of these

Answer

A

Explanation

`1 overset(t_(1//2))rarr (1)/(2)overset(t_(1//2))rarr (1)/(4)overset(t_(1//2))rarr (1)/(8)overset(t_(12))rarr (1)/(16)`
So, `t_(1//16)=4t_(1//2)`
`= 4xx(0.693)/(lambda)=4xx(0.693)/(69.3)=4xx10^(-2)` sec.