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Alpha Decay

The half life...

Question

The half life of a radioactive isotope is $3$ hours. What is the value of its disintegration constant?

0.3 h o u r^{- 1}

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0.693 h o u r^{- 1}

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0.231 h o u r^{- 1}

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0.231 m i n^{- 1}

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Solution

The correct option is B $0.231 h o u r^{- 1}$
Half life, $λ = 3 h r s$
$R = \frac{l n 2}{λ} = \frac{0.693}{3}$ [radioactive decay is always of order 1]

$= 0.231 h r^{- 1}$

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