A radioactive substance disintegrates at as rate proportional to the amount of substance present. If 50% f the given amount disintegrates in 1600 years. What percentage of the substance disintegrates i 10 years ? `(-log2)/(160)`Take `e=0. 9957`

Explanation

We have to find
the percentage of the substance disintegrates i
10 years

Let A be amount of mass at the time t

`(dA)/(dt) alpha A`

`(dA)/(dt)=KA ........(1)`

`(dA)/A=Kdt`

`int(dA)/A=intKdt`

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