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Electrons starting from rest and passing...

Electrons starting from rest and passing through a potential difference of 60 kV are found to acquire a velocity of `1.46 xx 10^(10) cm cdot s^(-1)`. Calculate the ratio of charge to the mass of an electron.

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Here, velocity of an electron,
`v = 1.46 xx 10^(10)cm cdot s^(-1) = 1.46 xx 10^(8) m cdot s^(-1)`
Potential difference, `V = 60 kV = 60000 V`
If e be the charge and m be the mass of an electron and v be the velocity acquired by it in passing through a potential difference V, we have,
`1/2 mv^(2) = eV`
or, `e/m = (v^2)/(2V) = ((1.46 xx 10^(8))^(2))/(2xx60000) = 1.776 xx 10^(11) C dot kg^(-1)`.
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