A radioctive element disintegrates at a ...

A radioctive element disintegrates at a rate proportional to the eqantity of substance Q present at any time t. what is the differential equation of the disintegration ?

`(dQ)/(dt)=-Q`

`(dQ)/(dt)=0kQ,k gt 0`

`(dQ)/(dt)=-kQ,k gt0`

`(dQ)/(dt)=Q`

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The correct Answer is:

A radioactive element disintegrates at a rate proportional to the quantity of substance Q present at any time t.
` Rightarrow (dQ)/(dt) alpha-Q`
` Rightarrow (dQ)/(dt) = -kQ,k gt 0` is a constant
Thus is required differential equation.

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