Motion of charged particle in uniform electric field MCQ

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A bullet of mass of 2 grams has a charge of $2\mu C$ . Through what potential difference must it be accelerated, starting from rest, to acquire a speed of $10m/s$

5kV

50kV

50V

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Concepts Covered - 1

Motion of charged particle in uniform electric field

Motion of charged particle in uniform electric field -

Whenever a charged placed in an electric field, it will experience an electric force. Ther is an assumption that this whole system is placed in an gravity free space. For this condition, electrical force is the only force acting on the particle. This net forcce will cause the particle to accelerate according to Newton's second law of motion. So we can write -

$\vec{F_e} = q\vec{E} = m\vec{a}$

Acceleration will be constant if the Electric field will be uniform and $\vec{a} = \frac{q\vec{E}}{m}$ . The dierection of acceleration or motion of charged particle depends on its nature. If the charged particle is of positive nature then it will move or accelerate in the direction of electric field. But in case of negative charged particle its motion or acceleration is in opposite direction of electric field. Here we can use the kinematic equation of motion since the acceleration is constant.