The deflection of the magnetic needle in an tangent galvanometer is $30^{\circ}$ when a current of one ampere flows through it. The deflection of the magnetometer when a current of 4 amp flows through it is

Question

$\begin {array} {1 1} (1)\;tan^{-1} (8.7) & \quad (2)\;tan^{-1} (2.31) \\ (3)\;tan^{-1} (1.73) & \quad (4)\;tan^{-1} (\sqrt 2) \end {array}$