A plane polarised light wave of intensity $I_0$ is incident normally on a polarising filter. The initial intensity of the transmitted wave is $0$.
A second polarising filter is then inserted between the source and the first filter. Its transmission axis is at $45°$ to the transmission axis of the first filter, as shown.
What is the intensity of the transmitted wave from the filter combination?

1 )
$0$
2 )
$\frac{I_0}{8}$
$\frac{I_0}{4}$
4 )
$\frac{I_0}{2}$
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