JEE Main 2012 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Main 2012

This question has statement 1 and statement 2 . Of the four choices given after the statements, choose the one that best describes the two statements. An insulating solid sphere of radius R has a uniformly positive charge density ρ. As a result of this uniform charge distribution there is a finite value of electric potential at the centre of the sphere, at the surface of the sphere and also at a point out side the sphere. The electric potential at infinity is zero. Statement 1: When a charge q is taken from the centre to the surface of the sphere, its potential energy changes by Statement 2: The electric field at a distance r(r < R) from the centre of the sphere is

Answer: (3)

Solution

Gauss's law gives inside — Statement 2 is true. Then ,

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Question ID VK-103729