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. `4.28xx10^(11)`
B. `9.27xx10^(5)`
C. positron emission
D. `6.02xx10^(23)`

Answer

D

Explanation

`N_(0)=(1xx6.02xx10^(23))/(226)=2.66xx10^(21)`
`lambda=(0.693)/(t_(1//2))=(0.693)/(1600xx365xx24xx60xx60)`
`=1.37xx10^(-11) s^(-1)`
Rate of decay `=lambda N_(0)`
`=1.37xx10^(-11)xx2.66xx10^(21)=3.65xx10^(10)`dps