Introduction:
The device or arrangement used to detect and check plane polarized light is called an analyser. Plane polarized light refers to light waves that vibrate in a specific direction, known as the plane of polarization. To analyze or detect plane polarized light, different optical components are used, including polaroids, polarizers, and analyzers. The analyser is specifically designed to determine the polarization state of light passing through it.

Explanation:
Here is a detailed explanation of each option and why the correct answer is option 'D' - Analyser:

a) Optically active:
Optically active substances are those that rotate the plane of polarization of light passing through them. They are not devices or arrangements used to detect or check plane polarized light but rather the substances themselves. Thus, option 'A' is incorrect.

b) Polaroid:
Polaroid is a brand name for a type of polarizing material that can be used as a polarizer or analyzer. It consists of a sheet of material that allows only light waves vibrating in a particular plane to pass through it. However, polaroids are not specifically used to detect or check plane polarized light but rather to create or manipulate polarized light. Therefore, option 'B' is not the correct answer.

c) Polarizer:
A polarizer is an optical component used to convert unpolarized light into plane polarized light. It filters out light waves vibrating in all directions except for the desired plane of polarization. While a polarizer is essential in the process of creating plane polarized light, it is not the device or arrangement used to detect or check it. Hence, option 'C' is incorrect.

d) Analyser:
The correct answer is option 'D' - Analyser. An analyser, also known as a polarizing analyzer or polarimeter, is the device or arrangement used to detect and check plane polarized light. It is typically a polarizer that is positioned perpendicular to the polarizer used to create the polarized light. The analyser allows or blocks the passage of light depending on its polarization state. By adjusting the orientation of the analyser, one can determine the presence or absence of plane polarized light. Thus, option 'D' is the correct answer.

Conclusion:
In summary, the device or arrangement used to detect and check plane polarized light is called an analyser. It is not the polarizer or polaroid, but rather the component that determines the polarization state of light passing through it.