Imposition of radio silence is a procedure that is sometimes used in case of aircraft emergency.
The purpose of radio silence is to ensure the frequency channel is available exclusively to the aircraft in distress so that better service is provided:
Exchange of information (pilots elaborating on the situation and controllers providing useful information) is easier
Navigational assistance (which is sometimes necessary during emergencies) requires considerable time spent on communication
Distraction of both the flight crew in distress and the air traffic controllers is reduced so that they may focus on the emergency situation