Question

The mass of an electron is m, charge is e and it is accelerated from rest through a potential difference of V volts. The velocity acquired by electron will be:

$(a) \: \sqrt{ \frac{v}{m} } \\ \\ (b) \: \sqrt{ \frac{ev}{m} } \\ \\ (c) \: \sqrt{ \frac{2ev}{m} } \\ \\ (d) \: 0$

Answer with proper calculation !!

Answer 1

refer to the above.

as the electron is accelerated from rest through a potential V, therefore it have acquired some kinetic energy which is equal to eV.
hence equating KE=eV to get the results.

Hope you get your answer.

Answer 2

★ ELECTROMAGNETICS ★

ENERGY of electron is stated as the potential across electron volts supplied , aslike

K ( En ) = eV

It's kinetic energy for sure , Hence ,

K ( En ) = 1/2 mv²

or we can state that ,

mv² = 2eV

v² = 2eV/m

Hence , velocity acquired by the electron will be :

v = √2eV/m

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