Concept:
Electric field properties, Gauss’s law, and work done by electric forces are governed by fundamental laws of electrostatics:
Gauss’s law applies to inverse square law forces.
Work done by an electric field depends on displacement along the field.
Electric field lines represent the direction of force on a positive test charge.
Statement-wise Analysis:
(I)
{Gauss Law is defined for inverse square of distance forces.}
Gauss’s law is strictly valid for forces obeying the inverse square law.
Hence, this statement is correct
.
(II)
{Work done by uniform electric field on a charge moving in a circle is zero.}
In circular motion, displacement at every point is perpendicular to the electric field.
Therefore, work done \(W = \vec{F}\cdot\vec{s} = 0\).
This statement is correct
.
(III)
{Electric field of a point charge forms concentric circle around it.}
Electric field lines of a point charge are radial straight lines
, not circles.
Hence, this statement is incorrect
.
(IV)
{Electric field lines forms closed loop.}
Electric field lines begin on positive charges and end on negative charges.
They never form closed loops.
Hence, this statement is incorrect
.
Final Conclusion:
Only statements (I)
and (II)
are correct.