A horizontal rod of mass $0.01\,kg$ and length$ 10\, cm $ is placed on a frictionless plane inclined at an angle $60^{\circ}$ with the horizontal and with the length of rod parallel to the edge of the inclined plane. A uniform magnetic field is applied ?Vertically downwards. If the current through the rod is $1.73\, A$, then the value of magnetic field induction $B$ for which the rod remains stationary on the inclined plane is