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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

0.4 ln 2

B

0.2 ln 2

C

0.1 ln 2

D

0.8 ln 2

Text Solution

Verified by Experts

The correct Answer is:
A
`lambda = (1)/(t) log _e (A_o)/(A) = (1)/(5) log _(e) (5000)/(1250)`
`= (2)/(5) log_(e) 2 = 0.4 log _(e) 2`
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DISHA PUBLICATION-NUCLEI-EXERCISE - 1 CONCEPT BUILDER
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  2. A radioactive sample contains 10^(-3) kg each of two nuclear species A...

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  5. A radioactive sample at any instant has its disintegration rate 5000 d...

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  10. A radioactive sample with a half-life of 1 month has the label : 'Acti...

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  14. The half life of a radio isotope is 5 years . The fraction which will ...

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  18. Consider a radioactive material of half-life 1.0 minute. If one of the...

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  19. A sample of radioactive element has a mass of 10 g at an instant t=0. ...

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  20. alpha-particles and gamma-rays are all having same energy . Their pene...

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