A2. The intensity of natural light that has passed through the two polaroids has decreased by a of 8. The angle between the transmission planes of the polaroids is __ 1. 0^circ 2. 30^circ 3. 60^circ 4. 45^circ

To solve this problem, we need to understand the concept of Malus's law, which describes how the intensity of polarized light changes when it passes through a polarizer. According to Malus's law, the intensity of the light after passing through a polarizer is given by: where:- is the initial intensity of the light,- is the angle between the transmission axis of the polarizer and the polarization direction of the incident light.Given that the intensity of the light has decreased by a factor of 8, we have: Since \( I = I_0 \cos^2(\theta) \), we can write: Taking the square root of both sides, we get: We know that: So, we need to find the angle such that: This angle is not a standard angle, but we can use the fact that: Substituting \( \cos^2(\theta) = \frac{1}{8} \): The angle whose cosine is is not a standard angle, but we can approximate it. However, since the problem asks for the angle between the transmission planes of the polaroids, we should consider the standard angles provided in the options.Given the options, the closest standard angle that fits the context of the problem is: Therefore, the angle between the transmission planes of the polaroids is:4.