1.
A straight wire is placed in a magnetic field that varies with distance xx from origin as B=B0(2x/a)k^\vec{B} = B_0 (2 - x/a)\hat{k}. Ends of wire are at (a,0)(a, 0) and (2a,0)(2a, 0) and it carries a current II. If force on wire is F=IB0(ka/2)j^\vec{F} = I B_0 (k a / 2)\hat{j}, then value of kk is