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A sample of radioactive element undergoe...

A sample of radioactive element undergoes 90% decomposition in 336 minutes. Its `t_(0.5)` in minutes is

A

(In 2/l In 10) `xx 366`

B

1/366

C

(In 2/1 In 90) `xx 366`

D

183

Text Solution

Verified by Experts

The correct Answer is:
A
`t_(0.5)=(1)/(lambda)"In" 2, t_(0.9)=(1)/(lambda)"In" 10`
`therefore (t_(0.5))/(t_(0.9))=(ln 2)/(ln 10)`
or `t_(0.5) = ("In"//2//"In" 10)xxt_(0.9)`
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