Identify the correct statements :
A. Electrostatic field lines form closed loops.
B. The electric field lines point radially outward when charge is greater than zero.
C. The Gauss - Law is valid only for inverse-square force.
D. The work done in moving a charged particle in a static electric field around a closed path is zero.
E. The motion of a particle under Coulomb's force must take place in a plane.
Choose the correct answer from the options given below :

Solution

Physics sir · 2 steps

Strike out statement A first: static field lines never close, and that alone rules out three options.

1. Why A fails. Electrostatic field lines start on positive charges and end on negative charges, or go off to infinity. A closed loop would mean ∮ E⃗ · dl⃗ ≠ 0, and that cannot happen for a static field.

   ∮ E⃗_(static) · dl⃗ = 0

   Statement	True or false	Reason
   A	False	Lines begin and end on charges. Only induced (changing-flux) fields form closed loops.
   B	True	For a positive point charge, E⃗ points away from the charge along every radius.
   C	True	Flux through a closed surface is independent of its size only because E ∝ 1/r² cancels the r² growth of area.
   D	True	The electrostatic force is conservative, so the work around any closed path is zero.
   E	True	Coulomb force is a central force. It exerts no torque about the charge, so L⃗ is conserved and the motion stays in one plane.

2. So. B, C, D and E are correct and A is wrong. That matches option (c).

The idea to keep. Static field lines run from plus to minus and never close, since ∮ E⃗ · dl⃗ = 0. In statement lists, find the false one first and strike every option containing it.

Answer from the NTA final answer key. Solution by PrepWiser.