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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 $^{238} U \to^{206} P b$ 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

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detailed solution

Correct option is D

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

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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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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 $^{238} U \to^{206} P b$ is $λ$ then age of rock is(assuming the only source of Pb in the mineral is U).