Two polarids  are placed with their axis perpendicular to each other. Unpolarised light ${I}_{o}$ is incident on ${P}_{1}$. A third polaroid ${P}_{3}$ is kept in between  such that its axis makes an angle ${45}^{°}$ with that of ${P}_{1}$. The intensity of transmitted light through ${P}_{2}$

(a)$\frac{{I}_{o}}{2}$

(b) $\frac{{I}_{o}}{4}$

(c) $\frac{{I}_{o}}{8}$

(d) $\frac{{I}_{o}}{16}$

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