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Calculate the half-life period of a radi...

Calculate the half-life period of a radioactive substance, if its activity drops to `16^(th)` of its initial value in 30 years.

Text Solution

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`N= (N_(0)) /(16)`,
where, `N_(0) = 30` years
`N= N_(0) ((1)/(2) )..`
`(N)/( N_0) = ((1)/(2))^(4) " "[because "No. of half lives" =4]`
`4= ("Time of disintegration")/("Half life period")`
`rArr (30 " years") /( 4)` = half life period
`therefore` Half-life period `=7.5` years
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