Chemistry In Everyday Life Ques 5

5. Which one of the following is employed as a tranquilizer?

[2009]

(a) Naproxen

(b) Tetracycline

(c) Chlorpheniramine

(d) Equanil

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Answer:

Correct Answer: 5.(c)

Solution:

(c) As we know, that

$ \frac{N}{N_0} = (\frac{1}{2})^n $

Where $N_0$ is the original amount of radioactive substance

N = Amount of substance remaining after n half-lives

$ \therefore \frac{25}{200} = (\frac{1}{2})^n$ or $\frac{1}{8} = (\frac{1}{2})^n $

or, $ \hspace{3mm} (\frac{1}{3})^n = (\frac{1}{2})^n : \therefore n = 0 $

now $T=n \times t _{1/2}$

where T = total time

$T=3 \times 5760 $ years = 17280 years