A conducting ring of radius R & mass 300 g, carrying current I ampere as shown in the figure. A bar magnet with its north pole up is placed along the symmetric axis below the conducting ring at a distance of 2m from the centre of ring. At the location of ring, the magnetic field makes an angle ${30}^0$ with vertical and its magnitude is $\frac{1}{3\pi }$ Tesla. If ring remains at rest in its position, find the product of current I in the ring and radius R of ring in ampere-meter $(g=10m/s^2).$