# A charged particle of mass m and charge q is released from rest in a uniform electric field E. The kinetic energy of the particle after time t is

Q. A charged particle of mass m and charge q is released from rest in a uniform electric field E. The kinetic energy of the particle after time t is

(a)(2E2 t2)/mq

(b) (Et2 m)/(2t2 )

(c) (E2 q2 t2)/2m

(d) (E q m)/2t

Ans: (c)

Sol: Acceleration

$\displaystyle a = \frac{F}{m} = \frac{q E}{m}$

v = u + at

$\displaystyle v = 0 + \frac{q E}{m}t$

$\displaystyle K = \frac{1}{2}m v^2$

$\displaystyle K = \frac{1}{2}m (\frac{q E t}{m})^2$

$\displaystyle K = \frac{q^2 E^2 t^2}{2 m}$
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