Malus Law — Prelims Questions

Unpolarized light of intensity $I_0$ is incident on a polarizer. The light transmitted from this polarizer then passes through an analyzer whose transmission axis makes an angle of $30^circ$ with the transmission axis of the first polarizer. What is the intensity of the light emerging from the analyzer?

Plane-polarized light of intensity $I_0$ is incident on an analyzer. If the transmitted intensity is $I_0/4$, what is the angle between the transmission axis of the analyzer and the plane of polarization of the incident light?

Unpolarized light of intensity $I$ is passed through three polarizers in series. The first polarizer's transmission axis is vertical. The second polarizer's axis is at $45^circ$ to the vertical. The third polarizer's axis is horizontal. What is the final intensity of the transmitted light?

Two polaroids are placed such that the intensity of transmitted light is maximum. If one of them is rotated by $60^circ$, what fraction of the maximum intensity is transmitted?

Unpolarized light of intensity $I_{unpol}$ is incident on a system of two crossed polarizers. A third polarizer is now inserted between these two polarizers, with its transmission axis making an angle of $45^circ$ with the transmission axis of the first polarizer. What is the intensity of light transmitted through the system?

Which of the following phenomena is NOT directly explained by Malus's Law?