First slide

Radio activity

Question

The half-life of a radioactive substance is 40 years. How long will it take to reduce to one fourth of its original amount and what is the value of decay constant?

Easy

A

40 year, 0.9173/year
B

90 year. 9.017/year
C

30 year, 0.0173/year
D

None of these

Solution

To reduce one fourth it takes time $t = 2 (T_{1 / 2}) = 2 x 40 = 80 years .$
Decay constant $λ = \frac{0.693}{T_{1 / 2}} = 0.0173 years$

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