Q. There is a uniform electric field of strength $10^{3}V/m$ along $y$-axis. A body of mass $1g$ and charge $10^{- 6}C$ is projected into the field from origin along the positive $x$-axis with a velocity $10m/s.$ Its speed in $m/s$ after $10s$ is (Neglect gravitation)

A) 10
B) $5\sqrt{2}$
C) $10\sqrt{2}$
D) 20
Explanation

(c) Body moves along the parabolic path
For vertical motion : By using $v = u + at$
$\Rightarrow v_{y} = 0 + \frac{QE}{m}.t = \frac{10^{- 6} \times 10^{3}}{10^{- 3}} \times 10 = 10m/\sec$
For horizontal motion – It’s horizontal velocity remains the same $i.e.$ after $10\ sec,$ horizontal velocity of body $v_{x} = 10m/sec$
Velocity after $10\sec{v = \sqrt{v_{x}^{2} + v_{y}^{2} = 10\sqrt{2}}\ m/sec}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.