Explanation:

The membrane of the nucleus, known as the nuclear envelope, is composed of two lipid bilayers with numerous nuclear pores. These nuclear pores are responsible for regulating the movement of substances in and out of the nucleus. The nuclear pores are large enough to allow the passage of specific molecules, such as proteins and RNA, but they also play a role in maintaining the integrity and function of the nucleus.

Allows transport of specific proteins:
One of the important functions of the nuclear envelope is to allow the transport of specific proteins into and out of the nucleus. Proteins that are needed in the nucleus, such as transcription factors and DNA-repair enzymes, are transported through the nuclear pores into the nucleus. Similarly, proteins that are synthesized in the cytoplasm but are needed in other cellular compartments are transported out of the nucleus through these pores.

Regulates movement of molecules:
The nuclear pores act as gatekeepers, regulating the movement of molecules in and out of the nucleus. They selectively allow the passage of specific molecules based on their size, charge, and other properties. Small molecules, such as ions and small proteins, can diffuse freely through the nuclear pores. Larger molecules, such as ribosomal subunits and messenger RNA (mRNA), require special transport proteins called nuclear transport receptors to facilitate their transport through the nuclear pores.

Prevents leakage of genes:
The nuclear envelope plays a crucial role in protecting the genetic material inside the nucleus. The nuclear pores are large enough to allow the passage of small molecules and proteins, but they effectively prevent the leakage of genes into the cytoplasm. This is important because the genetic material of the cell needs to be safeguarded and maintained within the nucleus for proper cellular function.

Overall:
In summary, the membrane of the nucleus is porous, allowing the transport of specific proteins and other molecules in and out of the nucleus. This selective permeability is essential for maintaining the integrity of the nucleus and regulating the flow of molecules between the nucleus and the cytoplasm. The nuclear pores play a crucial role in facilitating the transport of proteins, RNA, and other molecules while preventing the leakage of genes into the cytoplasm.