Engineering
Physics
Physical Quantities
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  30.

Statement -2 : The electric field at a distance r (r < R) from the centre of the sphere is  ρr30.

Statement-1 is true, Statement-2 is false

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

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Solution
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 Vanter=3kQ2R,Vsurface=kQR

 ΔU=qΔV=qkQ2R=ρR2q60

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