(A) The potential energy of the charge $q$ at the center of the ring is $U_i = \frac{kQq}{R}$.When the charge is at infinity,the potential energy is $

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) The potential energy of the charge $q$ at the center of the ring is $U_i = \frac{kQq}{R}$.When the charge is at infinity,the potential energy is $U_f = 0$.By the law of conservation of mechanical energy,the initial potential energy is converted into the final kinetic energy of the charge.$U_i + K_i = U_f + K_f$$\frac{kQq}{R} + 0 = 0 + \frac{1}{2}mv^2$$\frac{1}{2}mv^2 = \frac{kQq}{R}$$v^2 = \frac{2kQq}{mR}$$v = \sqrt{\frac{2kQq}{mR}}$

Class 12 Physics Electric Potential and Capacitance Electric potential

Easy

$A$ point charge $q$ of mass $m$ is placed at the center of a ring of radius $R$ carrying a charge $Q$. When it is slightly displaced,the point charge accelerates to infinity along the $x$-axis. The ultimate speed of the point charge is .......

A
$\sqrt{\frac{2kQq}{mR}}$
B
$\sqrt{\frac{kQq}{mR}}$
C
$\sqrt{\frac{kQq}{2mR}}$
D
$0$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Electric Potential and Capacitance

Subtopic

Electric potential

If an electron moves from rest from a point at which potential is $50\, V$ to another point at which potential is $70\, V$,then its kinetic energy in the final state will be:

Easy

View Solution

Three charged particles having charges $q, -2q$,and $q$ are placed in a line at points $(-a, 0), (0, 0)$,and $(a, 0)$ respectively. The expression for electric potential at $P(r, 0)$ for $r \gg a$ is ...............

Difficult

View Solution

The electric potential at a distance of $R/2$ from the center of a charged conducting sphere of radius $R$ is .......

Easy

View Solution

$A$ uniformly charged half-ring of radius $R$ has a linear charge density $\sigma$. The electric potential at the centre of the half-ring is ($\epsilon_0$ = permittivity of free space).

MediumMHT CET 2021

View Solution

Eight small drops,each of radius $r$ and having same charge $q$,are combined to form a big drop. The ratio between the potentials of the bigger drop and the smaller drop is

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$A$ point charge $q$ of mass $m$ is placed at the center of a ring of radius $R$ carrying a charge $Q$. When it is slightly displaced,the point charge accelerates to infinity along the $x$-axis. The ultimate speed of the point charge is .......

Similar Questions

If an electron moves from rest from a point at which potential is $50\, V$ to another point at which potential is $70\, V$,then its kinetic energy in the final state will be:

Three charged particles having charges $q, -2q$,and $q$ are placed in a line at points $(-a, 0), (0, 0)$,and $(a, 0)$ respectively. The expression for electric potential at $P(r, 0)$ for $r \gg a$ is ...............

The electric potential at a distance of $R/2$ from the center of a charged conducting sphere of radius $R$ is .......

$A$ uniformly charged half-ring of radius $R$ has a linear charge density $\sigma$. The electric potential at the centre of the half-ring is ($\epsilon_0$ = permittivity of free space).

Eight small drops,each of radius $r$ and having same charge $q$,are combined to form a big drop. The ratio between the potentials of the bigger drop and the smaller drop is

Vedclass Test Series

Exam Paper Generator

Online Exam Module