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Half-life of a radioacitve element is 10...

Half-life of a radioacitve element is `10` days. The time during which quantity remains `1//10` of initial mass will be

A

100 days

B

33 days

C

25 days

D

48 days

Text Solution

Verified by Experts

`N=N_(0)^(-lamdat)=In(N_(s))/N=lamdat`
`t=1/(lamda)In(N_(s))/Nimpliest=(2.303xxT_(1//2))log_(30)(N_(s))/N`
`(N_(s))/N=10,T_(1//2)=10` days
`:.t=(2.303xx10)/0.693=33.23` days
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