An unpolarised light beam of intensity I_0 is incident on a fixed...

An unpolarised light beam of intensity $I_0$ is incident on a fixed polariser $P_1$. The transmitted light then passes through an analyser $P_2$ which can be rotated. Consider the following statements:
(A) The intensity of light transmitted through $P_1$ is $\dfrac{I_0}{2}$ and is independent of the orientation of $P_1$.
(B) The final intensity of light transmitted through $P_2$ is maximum when the angle between the transmission axes of $P_1$ and $P_2$ is $90^{\circ}$.
(C) The variation of the final transmitted intensity with the angle $\theta$ between the transmission axes follows a cosine-squared curve.
(D) If the angle between the transmission axes of $P_1$ and $P_2$ is $60^{\circ}$, the final transmitted intensity is $\dfrac{I_0}{8}$.

How many of the above statements are correct?