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Ra^(226) has half life of 1600 years. Th...

`Ra^(226)` has half life of 1600 years. The number of disintegration per second per gram is

A

`4.8 xx 10^(10)`

B

`9.2 xx 10^(5)`

C

`3.7 xx 10^(10)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`lambda=(0.693)/(t_(1//2))=(0.693)/(1600xx365xx24xx60xx60)s^(-1)`
`=0.1373xx10^(-10) s^(-1)`
`N=(1)/(226)xx6.02xx10^(23)`
`(dN)/(dt)=lambda.N=(0.1373xx10^(-10)xx6*02xx10^(23))/(226)`
`0.00366xx10^(13)`
`=3.66xx10^(10)` dps
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