The analysis of a mineral of uranium reveals that ratio of moles of 206Pb and 238U in sample is 0.2. If effective decay constant of process 238U→206Pb is λ then age of rock is(assuming the only source of Pb in the mineral is U).

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1λln54

1λln5

1λln4

1λln65

answer is D.

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Detailed Solution

Ua−x→pbxxa−x=15⇒x=a6t=1λlnaa−x=1λlnaa−a6=1λln65

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