Electrostatics

Find the ratio of Kinetic energy ,of a proton and  an electron when it is approaching from rest towards a Uniform electric field of strength E, after t seconds
The force acting on the charge q, F=qE
F=ma= qE-------------(1)
a=(v-u)/t
a=v / t  (since  u=0)
v=at
KE=½ mv2
a=qE/m (From (1) )
v=qEt/m
KE=½ m (qEt/m)2
KE=½(qEt)2/m ( Note the formula for competitive exams)

KEp=½(eEt)2/mp
KEe=½(eEt)2/me
KEp/ KEe= me / mp =1 : 1833

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