Question

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’s 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:

• A. A, B, C, D Only
• B. A, C, E Only
• C. B, C, D, E Only
• D. A, B, D, E Only

Hint:

Electrostatic fields are conservative and non-rotational—remember this to quickly judge work and field-line questions.

Answer 1

The Correct Option is C

Statement-wise analysis: A. Electrostatic field lines form closed loops. False. Electrostatic field lines always originate from positive charges and terminate on negative charges. They never form closed loops. Closed loops are characteristic of magnetic field lines. 
B. The electric field lines point radially outward when charge is greater than zero. True. For a positive point charge, electric field lines emerge radially outward, indicating the direction of force on a positive test charge. 
C. The Gauss’s Law is valid only for inverse-square force. True. Gauss’s law strictly holds when the force follows an inverse-square dependence on distance, as is the case for electrostatic (Coulomb) force. 
D. The work done in moving a charged particle in a static electric field around a closed path is zero. True. Electrostatic fields are conservative. Hence, the work done over any closed loop is zero. 
E. The motion of a particle under Coulomb’s force must take place in a plane. True. Coulomb force is a central force. Motion under any central force is always confined to a plane. 

Step 2: Collect the true statements Correct statements are: \[ \boxed{B,\ C,\ D,\ E} \] Final Answer: \[ \boxed{\text{(C) B, C, D, E Only}} \]