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Mass Energy Equivalence

Initial decay...

Question

Initial decay rate of a substance is 800 disintegration/sec. If half life of substance is 1 sec, then after three second the decay rate will be

A

800 disintegration/sec

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B

400 disintegration/sec

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C

200 disintegration/sec

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D

100 disintegration/sec

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Solution

The correct option is D 100 disintegration/sec
$R_{0} = 800 d i s i n t e g r a t i o n {s e c}^{- 1} T_{\frac{1}{2}} = 1 s e c t = 3 s e c R = R_{0} e^{- λ t} λ = \frac{0.693}{T_{\frac{1}{2}}} = 0.693 s^{- 1} R = 800 e^{- 0.693 \times 3} = 100 d i s i n t e g r a t i o n {s e c}^{- 1}$

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