A small 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 `hatn` 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 ` hatn` direction, List -I gives time dependences of `hatn` in terms of a constant angular frequency ` omega ` , List - II gives the torques experienced by the circular loop at time ` t= (pi )/(6 omega )` Let ` alpha = (A^2 mu_(0)^(2) m^2 l^2 omega)/(2R)`

which one of the following options is correct ?

Options

A. `I to Q, II to P , III to S , IV to T`
B. `I to S, II to T , III to Q , IV to P`
C. `I to Q, II to P , III to S , IV to R`
D. `I to T, II to Q , III to P , IV to R`