The filament of an electron gun is made of which material and coated with which material? Why?

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(N/A) The filament of an electron gun is typically made of $Tungsten$ $(W)$.
It is coated with $Barium$ $Oxide$ $(BaO)$ or $Strontium$ $Oxide$ $(SrO)$.
Reason: $Tungsten$ has a very high melting point $(3695 \ K)$,which allows it to withstand high temperatures without melting. However,its work function is high,meaning it requires a lot of energy to emit electrons. By coating the filament with $Barium$ $Oxide$ or $Strontium$ $Oxide$,the work function of the surface is significantly reduced. This allows for the emission of a large number of electrons at relatively lower temperatures,a process known as thermionic emission.

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$(a)$ Estimate the speed with which electrons emitted from a heated emitter of an evacuated tube impinge on the collector maintained at a potential difference of $500\;V$ with respect to the emitter. Ignore the small initial speeds of the electrons. The specific charge of the electron,$i.e.$,the $e/m$ is given to be $1.76 \times 10^{11}\; C\; kg^{-1}$.
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