1.

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

Answer»

Solution :`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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