Question
Physics Question on Electromagnetic induction
A charge particle of mass 'm' and charge 'q' is released from rest in an uniform electric field 'E'. Neglecting the effect of gravity, the kinetic energy of the charged particle after 't' second is
A
Eqm/t
B
2E2t2/mq
C
E2q2t2/2m
D
Eq2m/2t2
Answer
E2q2t2/2m
Explanation
Solution
Using the equation of motion, we have:
v = u + at,
We can rearrange this equation to solve for v:
v = u + at,
v = 0 + (E/m)t,
v = (E/m)t.
The kinetic energy (K) of the particle is given by the equation:
K = (1/2)mv2.
Substituting the value of v we obtained earlier:
K = (1/2)m((E/m)t)2,
K = (1/2)mt2(E2/m2),
K = (1/2)(E2t2/m).
Therefore, the correct option is (C) E2q2t2/2m.