A velocity $\frac{1}{4}\;m/s$ is resolved into two components along OA and OB making angle $30^{\circ}$ and $45^{\circ}$ respectively with the given velocity. Then the component along OB is

Question

( A ) $\frac{1}{8}\;m/s$
( B ) $\frac{1}{4} (\sqrt{3} - 1) \; m/s$
( C ) $\frac{1}{4}\; m/s$
( D ) $\frac{1}{8} (\sqrt{6} - \sqrt{2}) \; m/s$