In the figure the flux through the loop perpendicular to the plane of the coil and directed into the paper is varying according to the relation \[\phi =6{{t}^{2}}+7t+1\] where \[\phi \] is in milli weber and t is in second. The magnitude of the emf induced in the loop at t=2 s and the direction of induce current through R are

• A. 39 m V; right to left
• B. 39 m V; left to right
• C. 31 m V; right to left
• D. 31 m V; left to right