1.

1 mg redium has 2.68xx10^18 atoms. Its half life is 1620 years. How many radium atoms will disintegrate from 1 mg of pure radium in 3240 years ?

Answer»

`2.01xx10^9`
`2.01xx10^18`
`1.01xx10^9`
`1.01xx10^18`

SOLUTION :`n=t/T_(1//2)=3240/1620`=2
As `N/N_0=m/m_0=(1/2)^n`
Mass of radium left after 2 half lives is `m=m_0(1/2)^n = 1XX(1/2)^2 =1/4` = 0.25 MG
Mass of radium DISINTEGRATED =1-0.25 =0.75 mg
Number of radium atoms disintegrated = 0.75x 2.68 x `10^18=2.01xx10^18`


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