$\frac{I}{I_{0}}=\cos ^{2}\left(\frac{\Delta \phi}{2}\right)$
$\frac{I}{I_{0}}=\cos ^{2}\left(\frac{\frac{2 \pi}{\lambda} \times \frac{\lambda}{8}}{2}\right)$
$\frac{\mathrm{I}}{\mathrm{I}_{0}}=\cos ^{2}\left(\frac{\pi}{8}\right)$
$\frac{\mathrm{I}}{\mathrm{I}_{0}}=0.853$
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$(A)$ Radioactivity is a random and spontaneous process and is dependent on physical and chemical conditions.
$(B)$ The number of un-decayed nuclei in the radioactive sample decays exponentially with time.
$(C)$ Slope of the graph of $\log _{e}$ (no. of undecayed nuclei) $Vs$. time represents the reciprocal of mean life time $(\tau)$.
$(D)$ Product of decay constant ( $\lambda$ ) and half-life time $\left(T_{1 / 2}\right)$ is not constant.
Choose the most appropriate answer from the options given below
