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Question:

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 qρ3ε0Statement-2 : The electric field at a distance r(r<R) from the centre of the sphere is ρr3ε0

Statement-1 is true statement-2 is false

Statement-1 is true, Statement 2 is true, statement-2 is not the correct explanation of Statement-1

Statement-1 is false, Statement-2 is true

Statement-1 is true, Statement-2 is true, Statement-2 is the correct explanation of Statement-1

Solution:

∫→E→dA=1ε0(ρ)×43πr3E=ρr3ε0Statement-2 is correctΔPE=(Vsur−Vcent)q=−q6ε0ρR2Statement-1 is incorrect