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For a given sample, the countring rate i...

For a given sample, the countring rate is `47.5alpha` particle per minute. After 5 times, the count is reduced to `27 alpha` particles per minute. Find the decay constant and half life of the sample.

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The correct Answer is:
`0.0019s^(-1), 368.12s`
Here, `N_(0)` corresponds to 47.5 and N corresponds to 27.
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