A charged particle of mass m and charge q is released from rest in a uniform electric field E. N

Name: Problem 1601, Chapter 11: JEE Physics
Uploaded: 2021-10-01T13:05:50-08:00
Duration: 1 min 9 s
Channel: Khoobchandra Agrawal
Description: A charged particle of mass m and charge q is released from rest in a uniform electric field E. Neglecting the effect of gravity, the kinetic energy of the charged particle after 't' second is ...... (A) [(Eq^2 m) /(2 t^2)] (B) [(E^2 q^2 t^2) /(2 m)] (C) [(2 E^2 t^2) /(qm)] (D) [(Eqm) / t]

step 1 Hi friends, a particle of mass am having the charge Q is released in the uniform electric field.

A charged particle of mass m and charge q is released from...

A charged particle of mass $\mathrm{m}$ and charge $q$ is released from rest in a uniform electric field $E$. Neglecting the effect of gravity, the kinetic energy of the charged particle after 't' second is ...... (A) $\left[\left(\mathrm{Eq}^{2} \mathrm{~m}\right) /\left(2 \mathrm{t}^{2}\right)\right]$ (B) $\left[\left(\mathrm{E}^{2} \mathrm{q}^{2} \mathrm{t}^{2}\right) /(2 \mathrm{~m})\right]$ (C) $\left[\left(2 \mathrm{E}^{2} \mathrm{t}^{2}\right) /(\mathrm{qm})\right]$ (D) $[(\mathrm{Eqm}) / \mathrm{t}]$

A charged particle of mass $\mathrm{m}$ and charge $q$ is released from rest in a uniform electric field $E$. Neglecting the effect of gravity, the kinetic energy of the charged particle after 't' second is ......
(A) $\left[\left(\mathrm{Eq}^{2} \mathrm{~m}\right) /\left(2 \mathrm{t}^{2}\right)\right]$
(B) $\left[\left(\mathrm{E}^{2} \mathrm{q}^{2} \mathrm{t}^{2}\right) /(2 \mathrm{~m})\right]$
(C) $\left[\left(2 \mathrm{E}^{2} \mathrm{t}^{2}\right) /(\mathrm{qm})\right]$
(D) $[(\mathrm{Eqm}) / \mathrm{t}]$

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Key Concepts

Kinetic Energy

Kinetic energy is the energy an object possesses due to its motion, typically calculated using the formula K = 1/2 mv², where m is the mass and v is the velocity of the object. For a charged particle accelerated from rest, the velocity or the displacement due to the electric field is used to determine the kinetic energy gained over time.

Newton's Second Law and Acceleration

Newton's second law states that the net force acting on an object equals the mass of the object multiplied by its acceleration (F = ma). In the context of a charged particle in an electric field, this law is used to calculate the acceleration (a = qE/m) once the electric force is known.

Electric Force

This is the force experienced by a charged particle in the presence of an electric field and is given by F = qE, where q is the charge of the particle and E is the magnitude of the electric field. It is fundamental in determining how a charged particle will begin to move under the influence of an electric field.

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