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Test: Electrostatic Potential Energy - JEE MCQ


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10 Questions MCQ Test - Test: Electrostatic Potential Energy

Test: Electrostatic Potential Energy for JEE 2024 is part of JEE preparation. The Test: Electrostatic Potential Energy questions and answers have been prepared according to the JEE exam syllabus.The Test: Electrostatic Potential Energy MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Electrostatic Potential Energy below.
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Test: Electrostatic Potential Energy - Question 1

A particle of mass 1 kg and charge 1/3μC is projected towards a non conducting fixed spherical shell having the same charge uniformly distributed on its surface. The minimum initial velocity V0 of projection of particle required if the particle just grazes the shell is

Detailed Solution for Test: Electrostatic Potential Energy - Question 1

From conservation of angular momentum,

from conservation of energy,

Test: Electrostatic Potential Energy - Question 2

A uniform electric field 100 V/ m is directed vertically downwards. Find the change in potential energy of an electron whose height decreases by 0.5 m.

Detailed Solution for Test: Electrostatic Potential Energy - Question 2

Definition based

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Test: Electrostatic Potential Energy - Question 3

Negative mutual potential energy corresponds to attraction between two charges

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Definition based

Test: Electrostatic Potential Energy - Question 4

The amount of work done in moving a charge from one point to another along an equipotential line or surface charge is

Detailed Solution for Test: Electrostatic Potential Energy - Question 4

Since Potential difference between two points in equipotential surfaces is zero, the work done between two points in equipotential surface is also zero.

Test: Electrostatic Potential Energy - Question 5

In bringing an electron towards another electron, the electrostatic potential energy of the system

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Definition based

Test: Electrostatic Potential Energy - Question 6

The potential energy of a system containing only one point charge is

Detailed Solution for Test: Electrostatic Potential Energy - Question 6

Potential Energy of a System with One Point Charge


  • Definition of Potential Energy: Potential energy is the energy stored in an object due to its position or configuration in a system.

  • Potential Energy of a Point Charge: In the case of a system containing only one point charge, the potential energy of the system is considered to be zero.

  • Explanation: When there is only one point charge in a system, there is no other charge or external force interacting with it to create potential energy. Therefore, the potential energy of a single point charge is considered to be zero.

This is why the correct answer is A: Zero.

Test: Electrostatic Potential Energy - Question 7

A proton is accelerated from rest through a potential of 500 volts. Its final kinetic energy is

Detailed Solution for Test: Electrostatic Potential Energy - Question 7

K = qV

Test: Electrostatic Potential Energy - Question 8

The electrostatic potential energy between two charges q1 and q2 separated by a distance by r is given by

Detailed Solution for Test: Electrostatic Potential Energy - Question 8

We know that energy required/gained = force x displacement
As F = kqQ / r2 and displacement is r
We get U = kQq /r
Where k = 1/4ϵ

Test: Electrostatic Potential Energy - Question 9

What is the electrostatic potential energy of a system containing two charges 40 nC and 60 nC at a distance of 36 cm?

Detailed Solution for Test: Electrostatic Potential Energy - Question 9

Definition based

Test: Electrostatic Potential Energy - Question 10

Three point charges Q, +q and +q are placed at the vertices of a right-angled isosceles triangle as shown in the figure. If the net electrostaic energy of the configuration is zero, find the value Q\q is [Take √2 = 1.4]

Detailed Solution for Test: Electrostatic Potential Energy - Question 10

Given,

The distance between them  when the electrostatic energy between two charges q1 and q2 is given as 

According to the principle of superposition, total energy of the charge system as shown in the figure below is

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