A small circular loop of area A and resistance R is fixed on a horizontal xy-plane with the cent....

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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 \(\hat{n}\) 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 \(\hat{n}\) direction. List-I gives time dependences of \(\hat{n}\) in terms of a constant angular frequency \(\omega\). List-II gives the torques experienced by the circular loop at time \(t=\frac{\pi}{6 \omega}\). Let \(\alpha=\frac{A^2 \mu_0^2 m^2 l^2 \omega}{2 R}\).

 

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