A radioactive isotope X with a half-life of 1 | vedclass

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Question

(c) If in the rock there is no $Y$ element, 

then the time taken by element $X$ to reduce to $\frac{1}{8}th$ 

the initial value will b

Vedclass · Accepted Answer

$4.11 	imes {10^9}$ years

Vedclass · Answer

(c) If in the rock there is no $Y$ element, 

then the time taken by element $X$ to reduce to $\frac{1}{8}th$ 

the initial value will be equal to $\frac{1}{8} = {\left( {\frac{1}{2}} ight)^n}$ or $n =3$ 

Therefore, from the beginning three half life time is spent.

Hence the age of the rock is $= 3 	imes 1.37 	imes {10^9} = 4.11 	imes {10^9}\,hrs.$

A radioactive isotope $X$ with a half-life of $1.37 \times {10^9}$ years decays to $Y$ which is stable. A sample of rock from the moon was found to contain both the elements $X$ and $Y$ which were in the ratio of $1 : 7$. The age of the rock is

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