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Question

A radioactive element X with half life $2$ h decays giving a stable element Y. After a time t, ratio of X and Y atoms is $1 : 16$ . Time t is?
$6$ h
$4$ h
$8$ h
$16$ h

A

8

h

B

16

h

C

6

h

D

4

h

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Solution

Verified by Toppr

$\frac{x}{y} = \frac{1}{7}$

Total $8$ parts= $2^{3}$ gives $3$ lives

$t = 3 \times 2 = 6 h o u r s$

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