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Radium has atomic weight 226 and a half-...

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

A

`4.8xx10^(10)`

B

`9.2xx10^(6)`

C

`3.7xx10^(10)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
c
Given, M = 226, `t_(1//2) = 1600 yrs, w = 1 g`
`(-dN)/(dt) = lambda(6.023xx10^(23)xxw)/(M) = (0.693)/(t_(1//2))xx(6.023xx10^(23)xx1)/(226)`
`= (0.692xx6.023xx10^(23))/(1600xx226xx(365xx24xx3600))`
`3.7xx10^(10)` disintegrations per second
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