Step 1: Understanding the phenomenon.
The problem involves light passing through two Nicol's prisms. When unpolarized light passes through a polarizer, the intensity of the transmitted light becomes half of the initial intensity. When it passes through a second polarizer, the intensity further reduces depending on the angle between the polarizer axes. In this case, the angle between the prisms is 60 degrees.
Step 2: Intensity after first polarizer.
When unpolarized light passes through the first Nicol’s prism, the intensity reduces to half of the initial intensity:
Step 3: Intensity after the second polarizer.
The second polarizer makes an angle of 60 degrees with the first. The intensity of light emerging from the second polarizer is given by:
Since , we get:
Step 4: Conclusion.
Thus, the intensity of the light emerging from the pair is . Therefore, the correct answer is (3) .