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An electron is subjected to a potential ...

An electron is subjected to a potential difference of 180 V. Mass and charge of an electron are `9 xx 10^(-31)kg` and `1.6 xx 10^(-19)C`, respectively. Find the velocity acquired by the electron.

Text Solution

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Here, mass of the electron, `m = 9 xx 10^(-31)kg`
Charge of the electron , `e = 1.6 xx 10^(-19)C`
Potential difference, `V = 180V`
`:.` Velocity acquired by the electron, v is given by `1/2 mv^(2) = eV`
or , `v = sqrt((2eV)/(m)) = sqrt((2 xx 1.6 xx 10^(-19) xx 180)/(9 xx 10^(-31))) = 8 xx 10^(6) m cdot s^(-1)`.
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