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A radioactive sample at any instant has ...

A radioactive sample at any instant has its disintegration rate `5000` disintegrations per minute After `5` minutes , the rate is `1250` disintegration per minute. Then , the decay constant (per minute)

A

`0.8` In 2

B

`0.4` In 2

C

`0.2` In 2

D

`0.1 ` In 2

Text Solution

Verified by Experts

The correct Answer is:
B
`R/(R_(0))=e^(-lambdat) rArr "In" R/(R_(0))=-lambdat`
`rArr |lambda| = ("In"(R//R_(0)))/t = ("In"((5000)/1250))/5=" 0.4 In 2 ". `
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