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  1. The half life of a radioactive isotope ‘X’ is 20 years. It decays to another element ‘Y’ which is stable. The two elements ‘X’ and ‘Y’ were found to be in the ratio of 1 : 7 in a sample of a the given rock. The age of the rock is estimated to be
    1. 60 years
    2. 80 years
    3. 100 years
    4. 40 years
Correct Option: A

The value of x is 1/8

=
X0
=
X0
823

⇒ t = 3T = 3 × 20 = 60 years
Hence the estimated age of the rock is 60 years
ALTERNATE
XY0
att = 0
N0O
att = t
NN0 - N

N
=
1
=
N
=
1
N0 - N7N08

t = 3T
= 3 × 20 = 60 years



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