1.

A radio isotope `X` with a half-life `1.4 xx 10^9` years decays of `Y` which is stable. A sample of the rock from a cave was found to contain `X` and `Y` in the ratio `1 : 7`. The age of the rock is.A. `1.96xx10^(9)yr`B. `3.92xx10^(9)yr`C. `4.20xx10^(9)yr`D. `8.40xx10^(9)yr`

Answer» Correct Answer - C
Here, `X/Y=1/7 :. X/(X+Y)=1/(1+7)=1/8=1/(2^(3))=(1/2)^(3)`
`n=3 or t/T=3`
`t=3T=3xx1.4xx10^(9)yrs =4.20xx10^(9)yrs`


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