Calculate the percentage increase in mass of an electron accelerated by a potential difference of 500 kV
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According to the problem the electron is accelerated by the potential difference of 500 kv = 5000v
Now we know that the charge of an electron is 1.6 x 10^(-19)C
Therefore the energy gained by the electron is , 5000x1.6 x 10^(-19)Joule
Therefore by using mass energy equivalent theorem , the mass increase in electron, e/c^2= 5000x1.6 x 10^(-19)/9 x 10^16 = 8.9*10^-33 kg
Now we know that the mass of the electron is 9.1*10^-31 kg
Therefore we can say that the mass of the electron is increased for gaining energy is 1/100 of the original mass.
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this is the ans was asked in aipmt in 2004 whis i was just 3 yrs old and barely able to talk
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