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Radioactive disintegration is a first o...

Radioactive disintegration is a first order reaction and it's rate depends only upon the nature of nucleus and does not depend upon external factors like temperature and pressure . The rate of radioactive disintegration (Activity) is represented as `- (dN)/(dt) = lambda N` , Where `lambda` = decay constant , N number of nuclei at time t , `N_(0)` = initial no. of nuclei.
The above equation after integration can be represented as `lambda = (2.303)/(t) "log" ((N_(0))/(N))`
Calculate the half-life period of a radioactive element which remains only 1/16 of it's original amount in 4740 years :

A

1185 years

B

2370 years

C

`52.5` years

D

none of these

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The correct Answer is:
A
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