Radium has atomic weight 226 and a half-life of 1600 Yr. The number of disintegrations produced per second from one gram are

Options

A. `4.8 xx 10^(10)`
B. `3.7 xx 10^(8)`
C. `9.2 xx 10^(6)`
D. `3.7 xx 10^(10)`

Answer

d

Explanation

`("No. of disintegration per sec")/("Total no. of atoms in one gram of Ra")`
`= (0693)/(1600 xx 365 xx 24 xx 60 xx 60)`
or No. of disintegration per sec
`= (0.693 xx 6.032 xx 10^(23))/(1600 xx 365 xx 24 xx 60 xx 60 xx 226)`