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(C) The activity of a radioactive sample is defined as the rate of decay of radioactive nuclei,given by the formula $A = \lambda N$,where $\lambda$ is

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is same as $A$

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(C) The activity of a radioactive sample is defined as the rate of decay of radioactive nuclei,given by the formula $A = \lambda N$,where $\lambda$ is the decay constant and $N$ is the number of radioactive nuclei present at that instant.The decay constant $\lambda$ and the number of nuclei $N$ are intrinsic properties of the radioactive material and are independent of external physical conditions such as temperature,pressure,or the surrounding medium.Therefore,placing the sample in water does not change the rate of decay.Hence,the activity $A^{\prime}$ in water remains equal to the activity $A$ in air,i.e.,$A^{\prime} = A$.

$A$ radioactive sample has an activity $A$ in air. If the sample is kept inside water,then its activity $A^{\prime}$

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