Two polarioids `P_1 and P_2` are placed in crossed positions. A third polaroid `P_3` is kept between `P_1 and P_2` such that the axis of `P_3` is parallel to that of `P_1`. How would the intensity of light `(I_2)` transmitted through `P_2` vary as `P_3` is rotated? Draw a plot of intensity `'I_2'` vs the angle `'theta'` between the axes of `P_1 and P_3`. In which orientation will the transmitted intensity be (i) minimum and (ii) maximum?

Explanation

To solve the problem step by step, we will analyze the situation involving three polaroids \( P_1 \), \( P_2 \), and \( P_3 \) and how the intensity of light transmitted through \( P_2 \) varies as \( P_3 \) is rotated.

### Step 1: Understand the Configuration
- We have three polaroids: \( P_1 \), \( P_2 \), and \( P_3 \).
- \( P_1 \) and \( P_2 \) are crossed, meaning their axes are perpendicular to each other (90 degrees apart).
- The axis of \( P_3 \) is initially parallel to that of \( P_1 \).

### Step 2: Apply Malus's Law
...