A sample of rock from moon contains equal number of atoms of uranium and lead (t12 for U=4.5×109 years ). The age of the rock would be
4.5×109 years
9×109 years
2.25×109 years
13.5×109 years
A
13.5×109 years
B
2.25×109 years
C
4.5×109 years
D
9×109 years
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Solution
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t1/2=0.693k
∴k=0.69345x10gyears−1
It is an uranium dating technique,
∴Age=2.303Klog10[1+Pb206U238]
=2.3030.693x45x10glog10[1+1]
=2.303x45x10g0.693log10(2)
Age = 4 x 10g years
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