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A radioactive isotope has a half-life of...

A radioactive isotope has a half-life of 10 year.How long will it take for the activity to reduce to 3-125% ?

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We have
` " "= 3.125% =( 3.125)/( 100) = (1)/(32) = (1)/(2^(5))`
Half life =10 years
` therefore `Required time `= 5xx 10 `years
`" "= `50 years
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