First slide

Radio activity

Question

In a radio active material the activity at time $t_{1} is R_{1}$ and at a later time $t_{2}, it is R_{2} .$ If the decay constant of the material is $λ,$ then

Moderate

A

$R_{1} = R_{2} e^{- λ (t_{1} - t_{2})}$
B

$R_{1} = R_{2} e^{λ (t_{1} - t_{2})}$
C

$R_{1} = R_{2} (t_{2} / t_{1})$
D

$R_{1} = R_{2}$

Solution

$\begin{array}{l} R_{1} = R_{0} e^{- {λt}_{1}} and R_{2} = R_{0} e^{- {λt}_{2}} \\ ∴ \frac{R_{1}}{R_{2}} = e^{- λ (t_{1} - t_{2})} \end{array}$

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