Two Polaroids \[{{P}_{1}}\] and \[{{P}_{2}}\] are placed with their axis perpendicular to each other. Unpolarised light \[{{l}_{0}}\] is incident on \[{{P}_{1}}\]. A third polaroid \[{{P}_{3}}\] is kept in between \[{{P}_{1}}\] and \[{{P}_{2}}\] such that its axis makes an angle \[{{45}^{o}}\] with that of \[{{P}_{1}}\]. The intensity of transmitted light through \[{{P}_{2}}\] is [NEET-2017]