HARD
KVPY Aptitude Test - Stream SX
IMPORTANT
Earn 100

Consider two cases:
(i) A point charge $q$ at the origin
(ii) A uniformly charged solid sphere of radius R (with its center at the origin) and total charge q

Given below are graphs of a property X versus distance r from the origin for the two cases. The graphs coincide for r≥R.

Question Image

50% studentsanswered this correctly

Important Questions on Electrostatics

HARD
KVPY Aptitude Test - Stream SX
IMPORTANT
Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 1 - Electrostatics>Exercise#2>Q 7
Two identical conducting spheres carry identical charges. If the spheres are set at a certain distance apart, they repel each other with a force F. A third conducting sphere, identical to the other two, but initially uncharged, is then touched to one sphere, and then to the other before being removed. The force-between the original two spheres are now 
MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT
Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 1 - Electrostatics>Exercise#2>Q 8
A point electric dipole placed at the origin has a potential given by Vr, 0=pcosθ4πε0r2, where θ is the angle made by the position vector with the direction of the dipole. Then
MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT
Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 1 - Electrostatics>Exercise#2>Q 9
Consider a uniform spherical volume charge distribution of radius R. Which of the following graphs correctly represents the magnitude of the electric field E at a distance r from the centre of the sphere?
MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT
Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 1 - Electrostatics>Exercise#2>Q 10
A charge +q is placed somewhere inside the cavity of a thick conducting spherical shell of inner radius R1 and outer radius R2. A charge +Q is placed at a distance r>R2 from the centre of the shell. Then the electric field in the hollow cavity, 
HARD
KVPY Aptitude Test - Stream SX
IMPORTANT
Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 1 - Electrostatics>Exercise#2>Q 11
Three equal charges +q are placed at the three vertices of an equilateral triangle centred at the origin. They are held in equilibrium by a restoring force of magnitude Fr=kr directed towards the origin, where k is a constant. What is the distance of the three charges from the origin?
EASY
KVPY Aptitude Test - Stream SX
IMPORTANT
Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 1 - Electrostatics>Exercise#2>Q 12
Two identical particles of mass m and charge q are shot at each other from a very great distance with an initial speed v. The distance of closest approach of these charges is:
MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT
Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 1 - Electrostatics>Exercise#2>Q 13

An isolated sphere of radius R, contains uniform volume distribution of positive charge. Which of the curves shown below correctly illustrates the dependence of the magnitude of the electric field of the sphere as a function of the distance r, from its centre?

Question Image

MEDIUM
KVPY Aptitude Test - Stream SX
IMPORTANT
Practice Book for KVPY Aptitude Test - Stream SX Physics>Chapter 1 - Electrostatics>Exercise#2>Q 14
The surface of a planet is found to be uniformly charged. When a particle of mass m and no charge is thrown at an angle from the surface of the planet, it has a parabolic trajectory as in projectile motion with horizontal range L. A particle of mass m and charge q with the same initial conditions has a range L2. The range of particle of mass m and charge 2q with the same initial conditions is,