The half life of the radioactive substance is 40 days. The substance will disintegrate completely in:

40 days

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400 days

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4000 days

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infinite time

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Solution

The correct option is D infinite time
Time taken to disintegrate completely by a substance is infinity as long as $log \frac{N_{0}}{N} = λ t$

$⟹$ $log \frac{N_{0}}{0} = λ t$
$log \infty = λ t$
Hence, when $N ⟶ 0, t ⟶ \infty$

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The half life of the radioactive substance is 40 days. The substance will disintegrate completely in:

The correct option is D infinite timeTime taken to disintegrate completely by a substance is infinity as long as logN0N=λt⟹ logN00=λt log∞=λtHence, when N⟶0,t⟶∞

The correct option is D infinite time
Time taken to disintegrate completely by a substance is infinity as long as $log \frac{N_{0}}{N} = λ t$

$⟹$ $log \frac{N_{0}}{0} = λ t$
$log \infty = λ t$
Hence, when $N ⟶ 0, t ⟶ \infty$