The disntergration rate of a certain radioactive sample at any instant is `4750 dp m`. Five minute later, the rate becomes `2700 dp m` Calculate half-line of sample.

The disntergration rate of a certain radioactive sample at any instant

1.	The disntergration rate of a certain radioactive sample at any instant is `4750 dp m`. Five minute later, the rate becomes `2700 dp m` Calculate half-line of sample.
Answer» `r_(0) = 4750` dpm at `t = 0` `r_(t) = 2700 dpm` at `t = 5` min. `:. (r_(0))/(r_(t)) = (4750)/(2700)` Also Rate `prop` NO. of atoms `:. (r_(0))/(r_(t)) = (N_(o))/(N_(t)) = (4750)/(2700)` `:. T = (2.303)/(lambda) log_(10) (N_(0))/(N_(t))` `5 = (2.303)/(lambda) log_(10) (4750)/(2700)` `lambda = 0.113 "mintute"^(-1)` `:. t_(1//2) = (0.693)/(0.113) = 6.13` minute

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The disntergration rate of a certain radioactive sample at any instant is `4750 dp m`. Five minute later, the rate becomes `2700 dp m` Calculate half-line of sample.

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