SECTION 3 (Maximum Marks: 12)

• This section contains FOUR (04) Matching List Sets.

• Each set has ONE Multiple Choice Question.

• Each set has TWO lists: List-l and List-ll.

• List-l has Four entries (I), (II), (III) and (IV) and List-ll has Five entries (P), (Q), (R), (S) and (T).

• FOUR options are given in each Multiple Choice Question based on List-l and List-ll and ONLY ONE of these four options satisfies the condition asked in the Multiple Choice Question.

• Answer to each question will be evaluated according to the following marking scheme:

Full Marks : +3 ONLY if the option corresponding to the correct combination 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.

A smaller circular loop of area A and resistance R is fixed on a horizontal xy-plane with the center of the loop always on the axis of a long solenoid. The solenoid has m turns per unit length and carries current I counterclockwise as shown in the figure. The magnetic field due to the solenoid is in direction. List-I gives time dependences of in terms of a constant angular frequency . List-II gives the torques experienced by the circular loop at time . Let

List-I List-II

(I) (P) 0

(II) (Q)

(III) (R)

(IV) (S)

(T)

Which one of the following options is correct ?