SECTION 3 (Maximum Marks: 12)

• This section contains FOUR (04) questions.

• Each question has TWO (02) matching lists: LIST - I and LIST - II.

• FOUR options are given representing matching of elements from LIST - I and LIST - II. ONLY ONE of these four options corresponds to a correct matching.

• For each question, choose the option corresponding to the correct matching.

• For each question, marks will be awarded according to the following marking scheme:

Full Marks: +3 If ONLY the option corresponding to the correct matching is chosen.

Zero Marks :0 If none of the options is chosen (i.e. the question is unanswered).

Negative Marks: -1 In all other cases.

The electric field E is measured at a point P(0, 0, d) generated due to various charge distributions and the dependence of E on d is found to be different for different charge distributions. List-I contains different relations between E and d. List-II describes different electric charge distributions, along with their locations. Match the functions in List-I with the related charge distributions in List-II.

LIST-I LIST-II

P. E is independent of d 1. A point charge Q at the origin

Q. 2. A small dipole with point charges Q at (0, 0, ) and -Q

at (0,0, ). Take

R. 3. An infinite line charge coincident with the x-axis, with

uniform linear charge density .

S. 4. Two inifinite wires carrying uniform linear charge density parallel

to the x-axis. The one along (y=0,z= ) has a charge density . Take

5. Infinite plane charge coincident with the xy-plane with

uniform surface charge density