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Half-life of a substance is 10 years. In what time, it becomes $\frac{1}{4} th$ part of the initial amount?

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5 years

10 years

20 years

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detailed solution

Correct option is C

N=N0e-t/T1/2⇒14=e-t/10 ⇒122=1et/10⇒t=20 years

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Half-life of a substance is 10 years. In what time, it becomes 14th part of the initial amount?

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Half-life of a substance is 10 years. In what time, it becomes $\frac{1}{4} th$ part of the initial amount?