Radioactive disintegration is a first order reaction and its rate depends only upon the nature of nucleus and does not depend upon external factors like temperature and pressure. The rate of radioactive disintegration (Activity) is represented as
`-(dN)/(dt)=lambdaN` Where `lambda=` decay constant, N= number of nuclei at time t, `N_(0)` =intial no. of nuclei. The above equation after integration can be represented as
`lambda=(2.303)/(t)log((N_(0))/(N))`
Calculate the half-life period of a radioactive element which remains only `1//16` of its original amount in `4740` years:
a) 1185 years
b) 2370 years
c) `52.5` years
d) none of these

Options

A. 1185 years
B. 2370 years
C. `52.5` years
D. none of these

Answer

A