Acceleration of a charged particle of charge 'q' and mass 'm' mov

SOLUTION

CONCEPT:

• Electric field force: When a charge moves in an electric field, a force will act on it, that is known as electric field force.
• Due to electric field Force is always in the direction of the electric field and force.

F = qE

where F is the force due to the electric field, q is the charge, and E is the electric field.

• Newton's second law: When a constant force acts on a body, it causes it to accelerate.

The acceleration (a) of the body is calculated by:

F = ma

where F is the force on the body, m is the mass of the body, and a is the acceleration.

EXPLANATION:

​Electric force acting on the charge particle,

F = qE

By Using Newton's second law of motion,

F = ma

qE = ma

a = qE/m

So the correct answer is option 1.