A plane-polarized light with intensity \(I_0\) is incident on a polaroid with an electric field vector making an angle of \(60^{\circ}\) with the transmission axis of the polaroid. The intensity of the resulting light will be:

Which of the following statements indicates that light waves are transverse? 

Five identical polaroids are placed coaxially with \(45^{\circ}\) angular separation between pass axes of adjacent polaroids as shown in the figure. (\(I_0\): Intensity of unpolarized light)
          
The intensity of light, \(I\), emerging out of the \(5\)^th polaroid is:

When an unpolarized light of intensity \(I_0\) is incident on a polarizing sheet, the intensity of the light which does not get transmitted is:

Two polaroids are kept crossed to each other. Now one of them is rotated through an angle of $\mathrm{}$\(45^{\circ}\). The percentage of incident light now transmitted through the system is:
1. \(15\%\)
2. \(25\%\)
3. \(50\%\)
4. \(60\%\)

Unpolarized light of intensity \(32\) Wm^–2 passes through three polarizers such that the transmission axes of the first and second polarizer make an angle of \(30^{\circ}\) with each other and the transmission axis of the last polarizer is crossed with that of the first. The intensity of the final emerging light will be:
1. \(32\) Wm^–2
2. \(3\) Wm^–2
3. \(8\) Wm^–2
4. \(4\) Wm^–2

Two polaroids are in the path of an unpolarized beam of intensity \(I_0\) such that no light is emitted from the second polaroid. If a third polaroid, whose polarization axis makes an angle \(\theta\) with the polarization axis of the first polaroid, is placed between these polaroids, then the intensity of light emerging from the last polaroid will be:
1. \(\left ( \frac{I_{0}}{8} \right )\sin^{2}2\theta \)
2. \(\left ( \frac{I_{0}}{4} \right )\sin^{2}2\theta \)
3. \(\left ( \frac{I_{0}}{2} \right )\sin^{4}2\theta \)
4. \(I_{0}\sin^{2}2\theta \)

An unpolarised light incident on a polariser has amplitude \(A\), and the angle between analyzer and polariser is \(60^{\circ}\). The light transmitted by the analyzer has an amplitude of:
1. \(A\sqrt{2}\)
2. \(\frac{A}{2\sqrt{2}}\)
3. \(\frac{\sqrt{3}A}{2}\)
4. \(\frac{A}{2}\)