Question

In the medium where E.coli was growing lactose was added which induce the lac operon. Then why does lac operon shut down some time after addition of lactose in the medium?

Answer 1

Lac operon is a segment of DNA that is made up of three adjacent structural genes namely an operator gene a promoter gene and a regulator gene. It works in a coordinate manner to metaboilize lactose into glucose and galactose. 
In lac operon lactose acts as an inducer. It binds to the repressor and inactivates it. Once the lactose binds to the repressor RNA polymerase binds to the promoter region. Hence three structural genes express their product and respective enzymes are produced. These enzymes act on lactose so that lactose is metabolized into glucose and galactose. 
After sometime when the level of inducer decreases as it is completely metabolized by enzymes it causes synthesis of the repressor from regulator gene. The repressor blinds to the operator gene and prevents RNA polymerase from transcribing the operon. Hence transcription is stopped. This type of regulation is known as negative regulation.

 Repressor and Inactivates