The plate must dissipate heat created when the electrons hit it with a high velocity after being accelerated by the voltage between the plate and cathode. Most of the waste power used in a vacuum tube is dissipated as heat by the plate. In low power tubes it is usually given a black coating, and often has "fins" to help it radiate heat. In power vacuum tubes used in radio transmitters, it is often made of a refractory metal like molybdenum. and is part of a large heat sink that projects through the glass or ceramic tube envelope and is cooled by radiation cooling, forced air or water.23
A problem in early vacuum tubes was secondary emission; electrons striking the plate could knock other electrons out of the metal surface. In some tubes such as tetrodes these secondary electrons could be absorbed by other electrodes such as grids in the tube, resulting in a current out of the plate. This current could cause the plate circuit to have negative resistance, which could cause unwanted parasitic oscillations. To prevent this most plates in modern tubes are given a chemical coating which reduces secondary emission.
Thomas A. Edison U.S. patent 307,031 "Electrical Indicator", Issue date: 1884 https://patents.google.com/patent/US307031 ↩
C H Gardner (1965) The Story of the Valve, Radio Constructor (See particularly the section "Glass Base Construction") http://www.r-type.org/static/story.htm ↩
Robert B. Tomer, Getting the most out of vacuum tubes, Howard W. Sams, Indianapolis, USA 1960, Library of Congress card no. 60-13843, available on the Internet Archive. Chapter 1 ↩