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Updated on : 2022-09-05

Solution

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Correct option is C)

$⇒NdN =−λdt$

$⇒gN/N_{0}=−λt$............(1)

Now,

$λN_{0}=20$ and $λN=5$

$N/N_{0}=1/4$

Now from (1) we get

$⇒g1/4=−t_{1/2}g2 t$

$⇒t=−t_{1/2}g2g2_{−2} $

$⇒t=2t_{1/2}=2×4.5×10_{9}$

$=9×10_{9}$ Years.

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