Two Polaroids, `P_(1)andP_(2)` are set-up so that their pass-axis are crossed with respect to each other. A third Polaroids, `P_(3)` is now introduced between these two so that its pass-axis makes and angle `theta` with the pass-axis of `P_(1)`.
A beam of unpolarised light, of intensity I, is incident on `P_(1)`. If the intensity of light, that gets transmitted through this combination of three Polaroids is I' find the ratio `((I')/(I))` when `theta` equals.
`(i) 30^(@)" "(ii)45^(@)`

Explanation

To solve the problem step by step, we will analyze the transmission of light through the three polaroids using Malus's Law.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have three polaroids: \( P_1 \), \( P_2 \), and \( P_3 \).
- The pass-axis of \( P_1 \) and \( P_2 \) are crossed (90 degrees apart).
- The pass-axis of \( P_3 \) makes an angle \( \theta \) with the pass-axis of \( P_1 \).
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